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

Ayyar, Venkitesh; Chandrasekharan, Shailesh; Rantaharju, Jarno

doi:10.1103/PhysRevD.97.054501

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

Venkitesh Ayyar, Shailesh Chandrasekharan, Jarno Rantaharju

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

Swansea University Author: Jarno Rantaharju

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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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last_indexed	2018-06-04T19:01:09Z
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spelling	2018-06-04T14:51:48.4225494 v2 39467 2018-04-18 Benchmark results in the 2D lattice Thirring model with a chemical potential 5dd2a2d389162bae32578b6601758cfc 0000-0002-0072-7707 Jarno Rantaharju Jarno Rantaharju true false 2018-04-18 MACS 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. Journal Article Physical Review D 97 5 054501-1 054501-13 American Physical Society 2470-0010 2470-0029 Lattice field theory, Thirring model, Sign problem 5 3 2018 2018-03-05 10.1103/PhysRevD.97.054501 COLLEGE NANME Mathematics and Computer Science School COLLEGE CODE MACS Swansea University 2018-06-04T14:51:48.4225494 2018-04-18T10:13:09.2062501 Faculty of Science and Engineering School of Mathematics and Computer Science - Computer Science Venkitesh Ayyar 1 Shailesh Chandrasekharan 2 Jarno Rantaharju 0000-0002-0072-7707 3 0039467-03052018114352.pdf 39467.pdf 2018-05-03T11:43:52.9400000 Output 543188 application/pdf Version of Record true 2018-05-03T00:00:00.0000000 Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. true eng
title	Benchmark results in the 2D lattice Thirring model with a chemical potential
spellingShingle	Benchmark results in the 2D lattice Thirring model with a chemical potential Jarno Rantaharju
title_short	Benchmark results in the 2D lattice Thirring model with a chemical potential
title_full	Benchmark results in the 2D lattice Thirring model with a chemical potential
title_fullStr	Benchmark results in the 2D lattice Thirring model with a chemical potential
title_full_unstemmed	Benchmark results in the 2D lattice Thirring model with a chemical potential
title_sort	Benchmark results in the 2D lattice Thirring model with a chemical potential
author_id_str_mv	5dd2a2d389162bae32578b6601758cfc
author_id_fullname_str_mv	5dd2a2d389162bae32578b6601758cfc_***_Jarno Rantaharju
author	Jarno Rantaharju
author2	Venkitesh Ayyar Shailesh Chandrasekharan Jarno Rantaharju
format	Journal article
container_title	Physical Review D
container_volume	97
container_issue	5
container_start_page	054501-1
publishDate	2018
institution	Swansea University
issn	2470-0010 2470-0029
doi_str_mv	10.1103/PhysRevD.97.054501
publisher	American Physical Society
college_str	Faculty of Science and Engineering
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department_str	School of Mathematics and Computer Science - Computer Science{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Computer Science
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description	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.
published_date	2018-03-05T07:25:16Z
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Benchmark results in the 2D lattice Thirring model with a chemical potential

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