Benchmark results in the 2D lattice Thirring model with a chemical potential
Abstract
We study the two dimensional lattice Thirring model in the presence of a fermion chemical po- tential. Our model is asymptotically free, contains massive fermions that mimic a baryon and light bosons that mimic pions. Hence it is a useful toy model for QCD, especially since it too suffers from a sign problem in the auxiliary field formulation in the presence of a fermion chemical potential. In this work we formulate the model in both the world line and fermion-bag representations and show that the sign problem can be completely eliminated with open boundary conditions when the fermions are massless. Hence we are able accurately compute a variety of interesting quantities in the model, and these results could provide benchmarks for other methods that are being developed to solve the sign problem in QCD.
Keywords
Cite
@article{arxiv.1711.07898,
title = {Benchmark results in the 2D lattice Thirring model with a chemical potential},
author = {Venkitesh Ayyar and Shailesh Chandrasekharan and Jarno Rantaharju},
journal= {arXiv preprint arXiv:1711.07898},
year = {2018}
}
Comments
11 pages, 13 figures, 7 tables