RG.bib
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@COMMENT{{Command line: bib2bib -ob RG.bib -c " ropsections:'RG' " bigBiblioFile.bib}}
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@COMMENT{{ concatenation of journals_ref.bib withpyblio.bib optimization.bib mypapers.bib other.bib refvulg.bib these_ref.bib philo.bib ../math/journals_ref.bib ../math/citeseer.bib ../math/books.bib }}
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@ARTICLE{polonyi2001lectures,
AUTHOR = {J. Polonyi},
TITLE = {Lectures on the functional renormalization group
method},
JOURNAL = {hep-th},
YEAR = {2001},
ROPSECTIONS = {RG QFT},
URL = {http://fr.arxiv.org/abs/hep-th/0110026},
PS = {/sci_docs/physics/papers/arxiv/polonyi2001lectures.ps.gz}
}
@MISC{muzy2002correlated,
AUTHOR = {P. T. Muzy, A. P. Vieira, S. R. Salinas},
TITLE = {Correlated disordered interactions on Potts models},
HOWPUBLISHED = {to be published in Physical Review E},
YEAR = {2002},
ROPSECTIONS = {RG MIT},
PS = {/sci_docs/physics/papers/arxiv/muzy2002correlated.ps.gz},
ABSTRACT = { Using a weak-disorder scheme and real-space
renormalization-group techniques, we obtain
analytical results for the critical behavior of
various q-state Potts models with correlated
disordered exchange interactions along d1 of d
spatial dimensions on hierarchical (Migdal-Kadanoff)
lattices. Our results indicate qualitative
differences between the cases d-d1=1 (for which we
find nonphysical random fixed points, suggesting the
existence of nonperturbative fixed distributions)
and d-d1>1 (for which we do find acceptable
perturbartive random fixed points), in agreement
with previous numerical calculations by Andelman and
Aharony. We also rederive a criterion for relevance
of correlated disorder, which generalizes the usual
Harris criterion. }
}
@ARTICLE{kimball1998states,
AUTHOR = {J. C. Kimball},
TITLE = {States on the Sierpinski Triangle},
JOURNAL = {Foundations of Physics },
YEAR = {1998},
VOLUME = {28},
NUMBER = {1},
PAGES = {87--105},
URL = {http://leporello.catchword.com/vl=5116453/cl=15/nw=1/rpsv/catchword/plenum/00159018/v28n1/s5/p87},
PDF = {/sci_docs/physics/papers/FoundPhys/kimball1998states.pdf},
ROPSECTIONS = {LOCALIZATION QUANTPHYS RG},
ABSTRACT = {States on a Sierpinski triangle are described using
a formally exact and general Hamiltonian
renormalization . The spectra of new (as well as
previously examined) models are characterized
. Numerical studies based on the renormalization
suggest that the only models which exhibit
absolutely continuous specta are effectively
one-dimensional in the limit of large distances . }
}
@ARTICLE{jauslin2002renormalization,
AUTHOR = {C. Chandre and H. R. Jauslin},
TITLE = {Renormalization-group analysis for the transition to
chaos in Hamiltonian systems},
JOURNAL = {Physics Reports},
YEAR = {2002},
VOLUME = {365},
NUMBER = {1},
PAGES = {1-64},
MONTH = {July},
ROPSECTIONS = {RG CHAOS},
PDF = {/sci_docs/physics/papers/PhysRep/jauslin2002renormalization.pdf},
ABSTRACT = {We study the stability of Hamiltonian systems in
classical mechanics with two degrees of freedom by
renormalization-group methods. One of the key
mechanisms of the transition to chaos is the
break-up of invariant tori, which plays an essential
role in the large scale and long-term behavior. The
aim is to determine the threshold of break-up of
invariant tori and its mechanism. The idea is to
construct a renormalization transformation as a
canonical change of coordinates, which deals with
the dominant resonances leading to qualitative
changes in the dynamics. Numerical results show that
this transformation is an efficient tool for the
determination of the threshold of the break-up of
invariant tori for Hamiltonian systems with two
degrees of freedom. The analysis of this
transformation indicates that the break-up of
invariant tori is a universal mechanism. The
properties of invariant tori are described by the
renormalization flow. A trivial attractive set of
the renormalization transformation characterizes the
Hamiltonians that have a smooth invariant torus. The
set of Hamiltonians that have a non-smooth invariant
torus is a fractal surface. This critical surface is
the stable manifold of a single strange set
encompassing all irrational frequencies. This
hyperbolic strange set characterizes the
Hamiltonians that have an invariant torus at the
threshold of the break-up. From the critical strange
set, one can deduce the critical properties of the
tori (self-similarity, universality classes).}
}
@ARTICLE{connor2002renormalization,
AUTHOR = {Denjoe O'Connor and C. R. Stephens},
TITLE = {Renormalization group theory of crossovers},
JOURNAL = {Physics Reports},
YEAR = {2002},
VOLUME = {363},
NUMBER = {4-6},
PAGES = {425-545},
MONTH = {June},
ROPSECTIONS = {RG},
PDF = {/sci_docs/physics/papers/PhysRep/connor2002renormalization.pdf},
ABSTRACT = {Crossover phenomena are both ubiquitous and
important. In this report, we review the foundations
of renormalization group theory as applied to
crossover behavior and consider several paradigmatic
applications. We confine ourselves to situations
where the crossover can be described in terms of an
effective field theory, in particular concentrating
on the prototypical example of an O(N) model in a
constrained geometry or at finite
temperature. Calculation of universal crossover
scaling functions is considered where we show how
the renormalization group can in principle be
applied to the latter to obtain expressions as
accurate as those of standard universal quantities,
such as critical exponents and amplitude
ratios. Particular attention is paid to the scaling
equation of state for an O(N) model.},
KEYWORDS = {Renormalization group; Crossover; Phase transitons;
Dimensional reduction; Finite size scaling}
}
@ARTICLE{connor2002millenium,
AUTHOR = {Denjoe O'Connor and C. R. Stephens},
TITLE = {Renormalization group theory in the new millennium.},
JOURNAL = {Physics Reports},
YEAR = {2002},
VOLUME = {363},
NUMBER = {4-6},
PAGES = {219-222},
MONTH = {June},
ROPSECTIONS = {RG},
PDF = {/sci_docs/physics/papers/PhysRep/connor2002millenium.pdf}
}
@ARTICLE{kreimer2002combinatorics,
AUTHOR = {D. Kreimer},
TITLE = {Combinatorics of (perturbative) quantum field
theory},
JOURNAL = {Physics Reports},
YEAR = {2002},
VOLUME = {363},
NUMBER = {4-6},
PAGES = {387-424},
MONTH = {June},
ROPSECTIONS = {RG},
PDF = {/sci_docs/physics/papers/PhysRep/kreimer2002combinatorics.pdf},
ABSTRACT = {We review the structures imposed on perturbative QFT
by the fact that its Feynman diagrams provide Hopf
and Lie algebras. We emphasize the role which the
Hopf algebra plays in renormalization by providing
the forest formulas. We exhibit how the associated
Lie algebra originates from an operadic operation of
graph insertions. Particular emphasis is given to
the connection with the Riemann¯Hilbert
problem. Finally, we outline how these structures
relate to the numbers which we see in Feynman
diagrams.}
}
@ARTICLE{berges2002nonperturbative,
AUTHOR = {J{\"u}rgen Berges, Nikolaos Tetradis and Christof
Wetterich},
TITLE = {Non-perturbative renormalization flow in quantum
field theory and statistical physics},
JOURNAL = {Physics Reports},
YEAR = {2002},
VOLUME = {363},
NUMBER = {4-6},
PAGES = {223-386},
MONTH = {June},
ROPSECTIONS = {RG},
PDF = {/sci_docs/physics/papers/PhysRep/berges2002nonperturbative.pdf},
ABSTRACT = {We review the use of an exact renormalization group
equation in quantum field theory and statistical
physics. It describes the dependence of the free
energy on an infrared cutoff for the quantum or
thermal fluctuations. Non-perturbative solutions
follow from approximations to the general form of
the coarse-grained free energy or effective average
action. They interpolate between the microphysical
laws and the complex macroscopic phenomena. Our
approach yields a simple unified description for
O(N)-symmetric scalar models in two, three or four
dimensions, covering in particular the critical
phenomena for the second-order phase transitions,
including the Kosterlitz¯Thouless transition and the
critical behavior of polymer chains. We compute the
aspects of the critical equation of state which are
universal for a large variety of physical systems
and establish a direct connection between
microphysical and critical quantities for a liquid¯
gas transition. Universal features of first-order
phase transitions are studied in the context of
scalar matrix models. We show that the quantitative
treatment of coarse graining is essential for a
detailed estimate of the nucleation rate. We discuss
quantum statistics in thermal equilibrium or thermal
quantum field theory with fermions and bosons and we
describe the high-temperature symmetry restoration
in quantum field theories with spontaneous symmetry
breaking. In particular, we explore chiral symmetry
breaking and the high-temperature or high-density
chiral phase transition in quantum chromodynamics
using models with effective four-fermion
interactions.}
}
@ARTICLE{jonalasinio2001renormalization,
AUTHOR = {G. Jona-Lasinio},
TITLE = {Renormalization group and probability theory},
JOURNAL = {Physics Reports},
YEAR = {2001},
VOLUME = {352},
NUMBER = {4-6},
PAGES = {439--458},
MONTH = {October},
ROPSECTIONS = {RG},
PDF = {/sci_docs/physics/papers/PhysRep/jonalasinio2001renormalization.pdf},
ABSTRACT = {The renormalization group has played an important
role in the physics of the second half of the 20th
century both as a conceptual and a calculational
tool. In particular, it provided the key ideas for
the construction of a qualitative and quantitative
theory of the critical point in phase transitions
and started a new era in statistical
mechanics. Probability theory lies at the foundation
of this branch of physics and the renormalization
group has an interesting probabilistic
interpretation as it was recognized in the middle
1970s. This paper intends to provide a concise
introduction to this aspect of the theory of phase
transitions which clarifies the deep statistical
significance of critical universality.}
}
@ARTICLE{ZinnJustin2001precise,
AUTHOR = {J. Zinn-Justin},
TITLE = {Precise determination of critical exponents and
equation of state by field theory methods},
JOURNAL = {Physics Reports},
YEAR = {2001},
VOLUME = {344},
NUMBER = {4--6},
PAGES = {159--178},
MONTH = {April},
ROPSECTIONS = {RG},
PDF = {/sci_docs/physics/papers/PhysRep/zinnjustin2001precise.pdf},
ABSTRACT = {Renormalization group, and in particular its quantum
field theory implementation has provided us with
essential tools for the description of the phase
transitions and critical phenomena beyond mean field
theory. We therefore review the methods, based on
renormalized [small phi, Greek] 34 quantum field
theory and renormalization group, which have led to
a precise determination of critical exponents of the
N -vector model (Le Guillou and Zinn-Justin,
Phys. Rev. Lett. 39 (1977) 95; Phys. Rev. B 21
(1980) 3976; Guida and Zinn-Justin, J. Phys. A 31
(1998) 8103; cond-mat/9803240) and of the equation
of state of the 3D Ising model (Guida and
Zinn-Justin, Nucl. Phys. B 489 [FS] (1997) 626,
hep-th/9610223). These results are among the most
precise available probing field theory in a
non-perturbative regime. Precise calculations first
require enough terms of the perturbative
expansion. However perturbation series are known to
be divergent. The divergence has been characterized
by relating it to instanton contributions. The
information about large-order behaviour of
perturbation series has then allowed to develop
efficient "summation" techniques, based on Borel
transformation and conformal mapping (Le Guillou and
Zinn-Justin (Eds.), Large Order Behaviour of
Perturbation Theory, Current Physics, vol. 7,
North-Holland, Amsterdam, 1990). We first discuss
exponents and describe our recent results (Guida and
Zinn-Justin, 1998). Compared to exponents, the
determination of the scaling equation of state of
the 3D Ising model involves a few additional
(non-trivial) technical steps, like the use of the
parametric representation, and the order dependent
mapping method. From the knowledge of the equation
of state a number of ratio of critical amplitudes
can also be derived. Finally we emphasize that few
physical quantities which are predicted by
renormalization group to be universal have been
determined precisely, and much work remains to be
done. Considering the steady increase in the
available computer resources, many new calculations
will become feasible. In addition to the infinite
volume quantities, finite size universal quantities
would also be of interest, to provide a more direct
contact with numerical simulations. Let us also
mention dynamical observables, a largely unexplored
territory.}
}
@ARTICLE{pelissetto2002critical,
AUTHOR = {Andrea Pelissetto and Ettore Vicari},
TITLE = {Critical phenomena and renormalization-group theory},
JOURNAL = {Physics Reports},
YEAR = {2002},
VOLUME = {368},
NUMBER = {6},
PAGES = {549-727},
MONTH = {October},
ROPSECTIONS = {RG POLYMER},
PDF = {/sci_docs/physics/papers/PhysRep/pelissetto2002critical.pdf},
ABSTRACT = {We review results concerning the critical behavior
of spin systems at equilibrium. We consider the
Ising and the general O(N)-symmetric universality
classes, including the Nrightwards arrow0 limit that
describes the critical behavior of self-avoiding
walks. For each of them, we review the estimates of
the critical exponents, of the equation of state, of
several amplitude ratios, and of the two-point
function of the order parameter. We report results
in three and two dimensions. We discuss the
crossover phenomena that are observed in this class
of systems. In particular, we review the
field-theoretical and numerical studies of systems
with medium-range interactions. Moreover, we
consider several examples of magnetic and structural
phase transitions, which are described by more
complex Landau¯Ginzburg¯Wilson Hamiltonians, such as
N-component systems with cubic anisotropy,
O(N)-symmetric systems in the presence of quenched
disorder, frustrated spin systems with noncollinear
or canted order, and finally, a class of systems
described by the tetragonal Landau¯Ginzburg¯Wilson
Hamiltonian with three quartic couplings. The
results for the tetragonal Hamiltonian are original,
in particular we present the six-loop perturbative
series for the small beta, Greek-functions. Finally,
we consider a Hamiltonian with symmetry O(n1)plus
sign in circleO(n2) that is relevant for the
description of multicritical phenomena. }
}
@ARTICLE{likos2001effective,
AUTHOR = {Christos N. Likos},
TITLE = {Effective interactions in soft condensed matter
physics },
JOURNAL = {Physics Reports},
YEAR = {2001},
VOLUME = {348},
NUMBER = {4--5},
PAGES = {267-439},
MONTH = {July},
PDF = {/sci_docs/physics/papers/PhysRep/likos2001effective.pdf},
ROPSECTIONS = {RG POLYMER},
ABSTRACT = {In this work, we present a review of recently
achieved progress in the field of soft condensed
matter physics, and in particular on the study of
the static properties of solutions or suspensions of
colloidal particles. The latter are macromolecular
entities with typical sizes ranging from 1 nm to 1
small mu, Greekm and their suspension typically
contain, in addition to the solvent, smaller
components such as salt ions or free polymer
chains. The theoretical tool introduced is the
effective Hamiltonian which formally results by a
canonical trace over the smaller degrees of freedom
for a fixed, "frozen" configuration of the large
ones. After presenting the formal definitions of
this effective Hamiltonian, we proceed with the
applications to some common soft matter systems
having a variable softness and ranging from free
polymer chains to hard colloidal particles. We begin
from the extreme case of nondiverging effective
interactions between ultrasoft polymer chains and
derive an exact criterion to determine the topology
of the phase diagrams of such systems. We use star
polymers with a variable arm number f as a hybrid
system in order to interpolate between these two
extremes. By deriving an effective interaction
between stars we can monitor the change in the phase
behavior of a system as the steepness of the
repulsion between its constituent particles
increases. We also review recent results on the
nature and the effects of short-range attractions on
the phase diagrams of spherical, nonoverlapping
colloidal particles.}
}
@ARTICLE{panyukov1996statistical,
AUTHOR = {Sergei Panyukov and Yitzhak Rabin},
TITLE = {Statistical physics of polymer gels},
JOURNAL = {Physics Reports},
YEAR = {1996},
VOLUME = {269},
NUMBER = {1--2},
PAGES = {1-131},
MONTH = {May},
ROPSECTIONS = {PHYSX RG REPLICA POLYMER},
PDF = {/sci_docs/physics/papers/PhysRep/panyukov1996statistical.pdf}
}
@ARTICLE{jirari2002renormalisation,
AUTHOR = {H. Jiraria and H. Kr\"{o}ger X. Q. Luo and G. Melkonyan and K. J. M. Moriarty},
TITLE = {Renormalisation in quantum mechanics },
JOURNAL = {Physics Letters A},
YEAR = {2002},
OPTKEY = {},
VOLUME = {303},
NUMBER = {5--6},
PAGES = {299--306},
MONTH = {October},
OPTNOTE = {},
OPTANNOTE = {},
PDF = {/sci_docs/physics/papers/PhysLettA/jirari2002renormalisation.pdf},
ROPSECTIONS = {RG QUANTPHYS},
ABSTRACT = {We study a recently proposed quantum action depending on
temperature. At zero temperature the quantum action is obtained
analytically and reproduces the exact ground state energy and wave
function. This is demonstrated for a number of cases with parity
symmetric confining potentials. In the case of the hydrogen atom, it
also reproduces exactly energy and wave function of a subset of
excited state (those of lowest energy for given angular momentum l)
and the quantum action is consistent with O(4) symmetry. In the case
of a double-well potential, the quantum action generates the ground
state of double-hump shape. In all cases we observe a coincidence
(in position) of minima of the quantum potential with maxima of the
wave function. The semi-classical WKB formula for the ground state
wave function becomes exact after replacing the parameters of the
classical action by those of quantum action.}
}
@ARTICLE{kreimer2002new,
AUTHOR = {Dirk Kreimer},
TITLE = {New mathematical structures in renormalizable quantum field theories},
JOURNAL = {Annals of Physics},
YEAR = {2003},
VOLUME = {303},
NUMBER = {1},
PAGES = {179-202},
MONTH = {January},
PDF = {/sci_docs/physics/papers/AnnPhys/kreimer2002new.pdf},
ROPSECTIONS = {RG},
ABSTRACT = {Computations in renormalizable perturbative quantum
field theories reveal mathematical structures which go way beyond
the formal structure which is usually taken as underlying quantum
field theory. We review these new structures and the role they can
play in future developments. }
}
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@BOOK{kadanoff2000stat,
AUTHOR = {Leo P. Kadanoff},
TITLE = {STATISTICAL PHYSICS: Statics, Dynamics and
Renormalization},
PUBLISHER = {World Scientific Publishing},
YEAR = {2000},
MONTH = {May},
NOTE = {ISBN 981-02-3758-8,ISBN 981-02-3764-2(pbk)},
ROPSECTIONS = {RG STATPHYS},
URL = {/sci_docs/physics/papers/book/kadanoff2000stat/},
ABSTRACT = {The material presented in this invaluable textbook
has been tested in two courses. One of these is a
graduate-level survey of statistical physics; the
other, a rather personal perspective on critical
behavior. Thus, this book defines a progression
starting at the book-learning part of graduate
education and ending in the midst of topics at the
research level. To supplement the research-level
side the book includes some research papers. Several
of these are classics in the field, including a
suite of six works on self-organized criticality and
complexity, a pair on diffusion-limited aggregation,
some papers on correlations near critical points, a
few of the basic sources on the development of the
real-space renormalization group, and several papers
on magnetic behavior in a plain geometry. In
addition, the author has included a few of his own
papers. }
}
This file has been generated by
bibtex2html 1.46
. Bibliography collected by S. Correia.