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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
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URI: https://cronfa.swan.ac.uk/Record/cronfa39467
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first_indexed 2018-04-18T13:36:34Z
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 SMA 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 COLLEGE CODE SMA 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
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Computer Science{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Computer Science
document_store_str 1
active_str 0
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 2018-03-05T03:50:07Z
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score 11.012678

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