Phys. Rev. Lett. 103, 186403 (2009) [4 pages]Exact Bosonization for an Interacting Fermi Gas in Arbitrary DimensionsReceived 19 July 2009; published 26 October 2009 We present an exact mapping of models of interacting fermions onto boson models. The bosons correspond to collective excitations in the initial fermionic models. This bosonization is applicable in any dimension and for any interaction between fermions. Introducing superfields, we derive a field theory that may serve as a new way of analytical study. We show schematically how the mapping can be used for Monte Carlo calculations and argue that it should be free from the sign problem. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.103.186403
DOI:
10.1103/PhysRevLett.103.186403
PACS:
71.10.Ay, 71.10.Pm, 75.40.Cx
See AlsoComment: D. Galanakis, S. Yang, F. F. Assaad, M. Jarrell, P. Werner, and M. Troyer, Comment on “Exact Bosonization for an Interacting Fermi Gas in Arbitrary Dimensions”, Phys. Rev. Lett. 105, 159701 (2010). |
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