Fermion bag solutions to some sign problems in four-fermion field theories

Details Fermion bag solutions to some sign problems in four-fermion field theories Fermion bag solutions to some sign problems in four-fermion field theories

2012-02-29

arxiv.org/abs/1202.6572v3

Physics

High Energy Physics

High Energy Physics - Lattice

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Scientific paper

Lattice four-fermion models containing $N$ flavors of staggered fermions, that are invariant under $Z_2$ and U(1) chiral symmetries, are known to suffer from sign problems when formulated using the auxiliary field approach. Although these problems have been ignored in previous studies, they can be severe. Here we show that the sign problems disappear when the models are formulated in the fermion bag approach, allowing us to solve them rigorously for the first time.

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