Effect of fluctuations on the QCD critical point in a finite volume
We investigate the effect of a finite volume on the critical behavior of the theory of the strong interaction, Quantum Chromodynamics (QCD), by means of a quark-meson model for Nf = 2 quark flavors. In particular, we analyze the effect of a finite volume on the location of the critical point in the...
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Veröffentlicht in: | Physical review. D, Particles, fields, gravitation, and cosmology Particles, fields, gravitation, and cosmology, 2014-09, Vol.90 (5), Article 054012 |
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creator | Tripolt, Ralf-Arno Braun, Jens Klein, Bertram Schaefer, Bernd-Jochen |
description | We investigate the effect of a finite volume on the critical behavior of the theory of the strong interaction, Quantum Chromodynamics (QCD), by means of a quark-meson model for Nf = 2 quark flavors. In particular, we analyze the effect of a finite volume on the location of the critical point in the phase diagram existing in our model. In our analysis, we take into account the effect of long-range fluctuations with the aid of renormalization group techniques. We find that these quantum and thermal fluctuations, absent in mean-field studies, play an import role for the dynamics in a finite volume. We show that the critical point is shifted towards smaller temperatures and larger values of the quark chemical potential if the volume size is decreased. This behavior persists for antiperiodic as well as periodic boundary conditions for the quark fields as used in many lattice QCD simulations. |
doi_str_mv | 10.1103/PhysRevD.90.054012 |
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In particular, we analyze the effect of a finite volume on the location of the critical point in the phase diagram existing in our model. In our analysis, we take into account the effect of long-range fluctuations with the aid of renormalization group techniques. We find that these quantum and thermal fluctuations, absent in mean-field studies, play an import role for the dynamics in a finite volume. We show that the critical point is shifted towards smaller temperatures and larger values of the quark chemical potential if the volume size is decreased. This behavior persists for antiperiodic as well as periodic boundary conditions for the quark fields as used in many lattice QCD simulations.</description><identifier>ISSN: 1550-7998</identifier><identifier>EISSN: 1550-2368</identifier><identifier>DOI: 10.1103/PhysRevD.90.054012</identifier><language>eng</language><subject>Cosmology ; Critical point ; Dynamic tests ; Flavor (particle physics) ; Fluctuation ; Mathematical analysis ; Phase diagrams ; Quantum chromodynamics ; Quarks</subject><ispartof>Physical review. 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D, Particles, fields, gravitation, and cosmology</title><description>We investigate the effect of a finite volume on the critical behavior of the theory of the strong interaction, Quantum Chromodynamics (QCD), by means of a quark-meson model for Nf = 2 quark flavors. In particular, we analyze the effect of a finite volume on the location of the critical point in the phase diagram existing in our model. In our analysis, we take into account the effect of long-range fluctuations with the aid of renormalization group techniques. We find that these quantum and thermal fluctuations, absent in mean-field studies, play an import role for the dynamics in a finite volume. We show that the critical point is shifted towards smaller temperatures and larger values of the quark chemical potential if the volume size is decreased. This behavior persists for antiperiodic as well as periodic boundary conditions for the quark fields as used in many lattice QCD simulations.</description><subject>Cosmology</subject><subject>Critical point</subject><subject>Dynamic tests</subject><subject>Flavor (particle physics)</subject><subject>Fluctuation</subject><subject>Mathematical analysis</subject><subject>Phase diagrams</subject><subject>Quantum chromodynamics</subject><subject>Quarks</subject><issn>1550-7998</issn><issn>1550-2368</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><recordid>eNo10MlOwzAYBGALgUQpvAAnH7kk_I4TL0eUlkWqxCI4W44X1SiNS-xU6ttT1HKaOYzm8CF0S6AkBOj923qfPtxuUUoooamBVGdoRpoGiooycX7qXEpxia5S-gagFeN8htql985kHD32_WTypHOIQ8JxwHnt8Hu7wGYMORjd420MQ8ZhwBr7MITs8C7208Zdowuv--RuTjlHX4_Lz_a5WL0-vbQPq8LQmuWCUWetq53oGsustpKLjkFVdb6rATrqmeSNo1zQxvqaG0u8kEYTC76ztejoHN0df7dj_JlcymoTknF9rwcXp6QIh4MFkU19mFbHqRljSqPzajuGjR73ioD6E1P_YkqCOorRX3uPYLE</recordid><startdate>20140911</startdate><enddate>20140911</enddate><creator>Tripolt, Ralf-Arno</creator><creator>Braun, Jens</creator><creator>Klein, Bertram</creator><creator>Schaefer, Bernd-Jochen</creator><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20140911</creationdate><title>Effect of fluctuations on the QCD critical point in a finite volume</title><author>Tripolt, Ralf-Arno ; Braun, Jens ; Klein, Bertram ; Schaefer, Bernd-Jochen</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c346t-63edde4e8b5d6dad978b6022bfb400b3f6975e37835df47cd1f89ca1d0fbd48b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Cosmology</topic><topic>Critical point</topic><topic>Dynamic tests</topic><topic>Flavor (particle physics)</topic><topic>Fluctuation</topic><topic>Mathematical analysis</topic><topic>Phase diagrams</topic><topic>Quantum chromodynamics</topic><topic>Quarks</topic><toplevel>online_resources</toplevel><creatorcontrib>Tripolt, Ralf-Arno</creatorcontrib><creatorcontrib>Braun, Jens</creatorcontrib><creatorcontrib>Klein, Bertram</creatorcontrib><creatorcontrib>Schaefer, Bernd-Jochen</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Physical review. 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In particular, we analyze the effect of a finite volume on the location of the critical point in the phase diagram existing in our model. In our analysis, we take into account the effect of long-range fluctuations with the aid of renormalization group techniques. We find that these quantum and thermal fluctuations, absent in mean-field studies, play an import role for the dynamics in a finite volume. We show that the critical point is shifted towards smaller temperatures and larger values of the quark chemical potential if the volume size is decreased. This behavior persists for antiperiodic as well as periodic boundary conditions for the quark fields as used in many lattice QCD simulations.</abstract><doi>10.1103/PhysRevD.90.054012</doi></addata></record> |
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subjects | Cosmology Critical point Dynamic tests Flavor (particle physics) Fluctuation Mathematical analysis Phase diagrams Quantum chromodynamics Quarks |
title | Effect of fluctuations on the QCD critical point in a finite volume |
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