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
Hauptverfasser: Tripolt, Ralf-Arno, Braun, Jens, Klein, Bertram, Schaefer, Bernd-Jochen
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container_title Physical review. D, Particles, fields, gravitation, and cosmology
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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.
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source American Physical Society Journals
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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