Solutions to sign problems in lattice Yukawa models
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 threedimensional models, symmetric under U_{L}(1)×U_{R}(1)×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.
 Publication:

Physical Review D
 Pub Date:
 July 2012
 DOI:
 10.1103/PhysRevD.86.021701
 arXiv:
 arXiv:1205.0084
 Bibcode:
 2012PhRvD..86b1701C
 Keywords:

 71.10.Fd;
 02.70.Ss;
 05.30.Rt;
 11.10.Kk;
 Lattice fermion models;
 Quantum Monte Carlo methods;
 Field theories in dimensions other than four;
 High Energy Physics  Lattice;
 Condensed Matter  Strongly Correlated Electrons
 EPrint:
 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.)