English

Solutions to sign problems in lattice Yukawa models

High Energy Physics - Lattice 2013-05-30 v2 Strongly Correlated Electrons

Abstract

We prove that sign problems in the traditional approach to some lattice Yukawa models can be completely solved when the fermions are formulated using fermion bags and the bosons are formulated in the worldline representation. We prove this within the context of two examples of three dimensional models, symmetric under UL(1)×UR(1)×Z2(Parity)U_L(1) \times U_R(1) \times Z_2 ({Parity}) transformations, one involving staggered fermions and the other involving Wilson fermions. We argue that these models have interesting quantum phase transitions that can now be studied using Monte Carlo methods.

Keywords

Cite

@article{arxiv.1205.0084,
  title  = {Solutions to sign problems in lattice Yukawa models},
  author = {Shailesh Chandrasekharan},
  journal= {arXiv preprint arXiv:1205.0084},
  year   = {2013}
}

Comments

5 pages, 1 figure (Fixed minor typographical errors, expanded the discussion to include solution to the sign problem with the conventional bosonic action and added a reference.)

R2 v1 2026-06-21T20:56:58.256Z