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First-order phase transitions in Yang-Mills theories and the density of state method
Physical Review D, Volume: 108, Issue: 7
Swansea University Authors:
Biagio Lucini , Maurizio Piai
, David Mason
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DOI (Published version): 10.1103/physrevd.108.074517
Abstract
When studied at finite temperature, Yang-Mills theories in 3 + 1 dimensions display the presence of confinement/deconfinement phase transitions, which are known to be of first order—the SU(2) gauge theory being the exception. Theoretical as well as phenomenological considerations indicate that it is...
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v2 64601 2023-09-22 First-order phase transitions in Yang-Mills theories and the density of state method 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 3ce295f2c7cc318bac7da18f9989d8c3 0000-0002-2251-0111 Maurizio Piai Maurizio Piai true false 341431eb263f8df9a38d8df4ae3d1cb2 David Mason David Mason true false 2023-09-22 SMA When studied at finite temperature, Yang-Mills theories in 3 + 1 dimensions display the presence of confinement/deconfinement phase transitions, which are known to be of first order—the SU(2) gauge theory being the exception. Theoretical as well as phenomenological considerations indicate that it is essential to establish a precise characterisation of these physical systems in proximity of such phase transitions. We present and test a new method to study the critical region of parameter space in non-Abelian quantum field theories on the lattice, based upon the Logarithmic Linear Relaxation (LLR) algorithm. We apply this method to the SU(3) Yang Mills lattice gauge theory, and perform extensive calculations with one fixed choice of lattice size. We identify the critical temperature, and measure interesting physical quantities near the transition. Among them, we determine the free energy of the model in the critical region, exposing for the first time its multi-valued nature with a numerical calculation from first principles, providing this novel evidence in support of a first order phase transition. This study sets the stage for future high precision measurements, by demonstrating the potential of the method. Journal Article Physical Review D 108 7 American Physical Society (APS) 2470-0010 2470-0029 0 0 0 0001-01-01 10.1103/physrevd.108.074517 http://dx.doi.org/10.1103/physrevd.108.074517 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University Not Required 2024-04-04T12:34:51.6731335 2023-09-22T12:35:29.2164517 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Biagio Lucini 0000-0001-8974-8266 1 David Mason 0000-0002-1857-1085 2 Maurizio Piai 0000-0002-2251-0111 3 Enrico Rinaldi 0000-0003-4134-809x 4 Davide Vadacchino 0000-0002-5783-5602 5 David Mason 6 64601__28973__1c5e4694d78c4fc884cd017f9deb8b28.pdf 64601.pdf 2023-11-08T12:27:52.9880068 Output 4927187 application/pdf Version of Record true Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. true eng http://creativecommons.org/licenses/by/4.0/ 211 Biagio Lucini 0000-0001-8974-8266 b.lucini@swansea.ac.uk true DOI:10.5281/zenodo.8124749, DOI:10.5281/zenodo.8134756. false |
title |
First-order phase transitions in Yang-Mills theories and the density of state method |
spellingShingle |
First-order phase transitions in Yang-Mills theories and the density of state method Biagio Lucini Maurizio Piai David Mason |
title_short |
First-order phase transitions in Yang-Mills theories and the density of state method |
title_full |
First-order phase transitions in Yang-Mills theories and the density of state method |
title_fullStr |
First-order phase transitions in Yang-Mills theories and the density of state method |
title_full_unstemmed |
First-order phase transitions in Yang-Mills theories and the density of state method |
title_sort |
First-order phase transitions in Yang-Mills theories and the density of state method |
author_id_str_mv |
7e6fcfe060e07a351090e2a8aba363cf 3ce295f2c7cc318bac7da18f9989d8c3 341431eb263f8df9a38d8df4ae3d1cb2 |
author_id_fullname_str_mv |
7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini 3ce295f2c7cc318bac7da18f9989d8c3_***_Maurizio Piai 341431eb263f8df9a38d8df4ae3d1cb2_***_David Mason |
author |
Biagio Lucini Maurizio Piai David Mason |
author2 |
Biagio Lucini David Mason Maurizio Piai Enrico Rinaldi Davide Vadacchino David Mason |
format |
Journal article |
container_title |
Physical Review D |
container_volume |
108 |
container_issue |
7 |
institution |
Swansea University |
issn |
2470-0010 2470-0029 |
doi_str_mv |
10.1103/physrevd.108.074517 |
publisher |
American Physical Society (APS) |
college_str |
Faculty of Science and Engineering |
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Faculty of Science and Engineering |
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Faculty of Science and Engineering |
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School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics |
url |
http://dx.doi.org/10.1103/physrevd.108.074517 |
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description |
When studied at finite temperature, Yang-Mills theories in 3 + 1 dimensions display the presence of confinement/deconfinement phase transitions, which are known to be of first order—the SU(2) gauge theory being the exception. Theoretical as well as phenomenological considerations indicate that it is essential to establish a precise characterisation of these physical systems in proximity of such phase transitions. We present and test a new method to study the critical region of parameter space in non-Abelian quantum field theories on the lattice, based upon the Logarithmic Linear Relaxation (LLR) algorithm. We apply this method to the SU(3) Yang Mills lattice gauge theory, and perform extensive calculations with one fixed choice of lattice size. We identify the critical temperature, and measure interesting physical quantities near the transition. Among them, we determine the free energy of the model in the critical region, exposing for the first time its multi-valued nature with a numerical calculation from first principles, providing this novel evidence in support of a first order phase transition. This study sets the stage for future high precision measurements, by demonstrating the potential of the method. |
published_date |
0001-01-01T12:34:48Z |
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1795403796985151488 |
score |
11.021648 |