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Benchmark results in the 2D lattice Thirring model with a chemical potential

Venkitesh Ayyar, Shailesh Chandrasekharan, Jarno Rantaharju Orcid Logo

Physical Review D, Volume: 97, Issue: 5, Pages: 054501-1 - 054501-13

Swansea University Author: Jarno Rantaharju Orcid Logo

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DOI (Published version): 10.1103/PhysRevD.97.054501

Abstract

We study the two-dimensional lattice Thirring model in the presence of a fermion chemical potential. Our model is asymptotically free and 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...

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Published in: Physical Review D
ISSN: 2470-0010 2470-0029
Published: American Physical Society 2018
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa39467
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Abstract: We study the two-dimensional lattice Thirring model in the presence of a fermion chemical potential. Our model is asymptotically free and 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: Lattice field theory, Thirring model, Sign problem
College: Faculty of Science and Engineering
Issue: 5
Start Page: 054501-1
End Page: 054501-13

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