GRASSMANN.bib

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@ARTICLE{angelis1998berezin,
  AUTHOR = {G F De Angelis and G Jona-Lasinio and V
                  Sidoravicius},
  TITLE = {Berezin integrals and Poisson processes},
  JOURNAL = {J. Phys. A: Math. Gen.},
  YEAR = {1998},
  VOLUME = {31},
  PAGES = {289--308},
  PDF = {/sci_docs/physics/papers/JPhysA/angelis1998berezin.pdf},
  ROPSECTIONS = {ALGEBRA GRASSMANN QFT},
  ABSTRACT = {We show that the calculation of Berezin integrals
                  over anticommuting variables can be reduced to the
                  evaluation of expectations of functionals of Poisson
                  processes via an appropriate Feynman Kac formula. In
                  this way the tools of ordinary analysis can be
                  applied to Berezin integrals and, as an example, we
                  prove a simple upper bound. Possible applications of
                  our results are briefly mentioned.}
}


@ARTICLE{beccaria1999exact,
  AUTHOR = {M. Beccaria and C. Presilla and G. F. De Angelis and
                  G. Jona-Lasinio},
  TITLE = {An exact representation of the fermion dynamics in
                  terms of Poisson processes and its connection with
                  Monte Carlo algorithms},
  JOURNAL = {Europhys. Lett.},
  YEAR = {1999},
  VOLUME = {48},
  NUMBER = {3},
  PAGES = {243--249},
  MONTH = {November},
  ROPSECTIONS = {GRASSMANN QFT},
  PDF = {/sci_docs/physics/papers/EuroPhysLett/beccaria1999exact.pdf},
  ABSTRACT = {We present a simple derivation of a Feynman-Kac type
                  formula to study fermionic systems. In this approach
                  the real time or the imaginary time dynamics is
                  expressed in terms of the evolution of a collection
                  of Poisson processes. This formula leads to a family
                  of algorithms parametrized by the values of the jump
                  rates of the Poisson processes. From these an
                  optimal algorithm can be chosen which coincides with
                  the Green Function Monte Carlo method in the limit
                  when the latter becomes exact.}
}

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