Lattice Constraints on the QCD Chiral Phase Transition at Finite Temperature and Baryon Density

The thermal restoration of chiral symmetry in QCD is known to proceed by an analytic crossover, which is widely expected to turn into a phase transition with a critical endpoint as the baryon density is increased. In the absence of a genuine solution to the sign problem of lattice QCD, simulations a...

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Autor principal:	Owe Philipsen
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	QCD phase diagram chiral symmetry restoration lattice QCD Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/f23029833de8429eb227b5a978d9ca42
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spelling	oai:doaj.org-article:f23029833de8429eb227b5a978d9ca422021-11-25T19:06:34ZLattice Constraints on the QCD Chiral Phase Transition at Finite Temperature and Baryon Density10.3390/sym131120792073-8994https://doaj.org/article/f23029833de8429eb227b5a978d9ca422021-11-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2079https://doaj.org/toc/2073-8994The thermal restoration of chiral symmetry in QCD is known to proceed by an analytic crossover, which is widely expected to turn into a phase transition with a critical endpoint as the baryon density is increased. In the absence of a genuine solution to the sign problem of lattice QCD, simulations at zero and imaginary baryon chemical potential in a parameter space enlarged by a variable number of quark flavours and quark masses constitute a viable way to constrain the location of a possible non-analytic phase transition and its critical endpoint. In this article I review recent progress towards an understanding of the nature of the transition in the massless limit, and its critical temperature at zero density. Combined with increasingly detailed studies of the physical crossover region, current data bound a possible critical point to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>μ</mi><mi>B</mi></msub></semantics></math></inline-formula> ≳ 3<i>T</i>.Owe PhilipsenMDPI AGarticleQCD phase diagramchiral symmetry restorationlattice QCDMathematicsQA1-939ENSymmetry, Vol 13, Iss 2079, p 2079 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	QCD phase diagram chiral symmetry restoration lattice QCD Mathematics QA1-939
spellingShingle	QCD phase diagram chiral symmetry restoration lattice QCD Mathematics QA1-939 Owe Philipsen Lattice Constraints on the QCD Chiral Phase Transition at Finite Temperature and Baryon Density
description	The thermal restoration of chiral symmetry in QCD is known to proceed by an analytic crossover, which is widely expected to turn into a phase transition with a critical endpoint as the baryon density is increased. In the absence of a genuine solution to the sign problem of lattice QCD, simulations at zero and imaginary baryon chemical potential in a parameter space enlarged by a variable number of quark flavours and quark masses constitute a viable way to constrain the location of a possible non-analytic phase transition and its critical endpoint. In this article I review recent progress towards an understanding of the nature of the transition in the massless limit, and its critical temperature at zero density. Combined with increasingly detailed studies of the physical crossover region, current data bound a possible critical point to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>μ</mi><mi>B</mi></msub></semantics></math></inline-formula> ≳ 3<i>T</i>.
format	article
author	Owe Philipsen
author_facet	Owe Philipsen
author_sort	Owe Philipsen
title	Lattice Constraints on the QCD Chiral Phase Transition at Finite Temperature and Baryon Density
title_short	Lattice Constraints on the QCD Chiral Phase Transition at Finite Temperature and Baryon Density
title_full	Lattice Constraints on the QCD Chiral Phase Transition at Finite Temperature and Baryon Density
title_fullStr	Lattice Constraints on the QCD Chiral Phase Transition at Finite Temperature and Baryon Density
title_full_unstemmed	Lattice Constraints on the QCD Chiral Phase Transition at Finite Temperature and Baryon Density
title_sort	lattice constraints on the qcd chiral phase transition at finite temperature and baryon density
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/f23029833de8429eb227b5a978d9ca42
work_keys_str_mv	AT owephilipsen latticeconstraintsontheqcdchiralphasetransitionatfinitetemperatureandbaryondensity
_version_	1718410315853463552

Lattice Constraints on the QCD Chiral Phase Transition at Finite Temperature and Baryon Density

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