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Solutions to sign problems in lattice Yukawa models

Shailesh Chandrasekharan
Phys. Rev. D 86, 021701(R) – Published 3 July 2012

Abstract

We prove that sign problems in the traditional approach to some lattice Yukawa models can be completely solved when fermions are formulated using fermion bags and 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) 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.

  • Figure
  • Received 22 May 2012

DOI:https://doi.org/10.1103/PhysRevD.86.021701

© 2012 American Physical Society

Authors & Affiliations

Shailesh Chandrasekharan

  • Department of Physics, Duke University, Durham, North Carolina 27708, USA

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Issue

Vol. 86, Iss. 2 — 15 July 2012

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