The Effect of Fluctuations on the QCD Critical Point in a Finite Volume

Abstract

We investigate the effect of a finite volume on the critical behavior of the theory of the strong interaction (QCD) by means of a quark-meson model for two 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.

9 pages, 2 figures, 1 table

References in corpus (22)

• Exact evolution equation for the effective potential
• The Phase Structure of the Polyakov--Quark-Meson Model
• Susceptibilities and the Phase Structure of a Chiral Model with Polyakov Loops
• The phase structure of the Polyakov--quark-meson model beyond mean field
• QCD at finite chemical potential with six time slices
• The phase boundary for the chiral transition in (2+1)-flavor QCD at small values of the chemical potential
• The QCD phase diagram at nonzero quark density
• Susceptibilities near the QCD (tri)critical point
• The renormalization group and quark number fluctuations in the Polyakov loop extended quark-meson model at finite baryon density
• Renormalization Group Approach towards the QCD Phase Diagram
• Ising exponents from the functional renormalisation group
• Quark Number Fluctuations in a Chiral Model at Finite Baryon Chemical Potential
• The QCD Phase Boundary from Quark-Gluon Dynamics
• Thermodynamic Properties of Strongly Interacting Matter in a Finite Volume using the Polyakov-Nambu-Jona-Lasinio model
• On the scaling behavior of the chiral phase transition in QCD in finite and infinite volume
• Non-perturbative thermal flows and resummations
• Perturbation theory and non-perturbative renormalization flow in scalar field theory at finite temperature
• Polyakov-Quark-Meson-Diquark Model for two-color QCD
• Finite-size scaling as a tool in the search for the QCD critical point in heavy ion data
• Status of Lattice Studies of the QCD Phase Diagram
• Large volume behaviour of Yang-Mills propagators
• Deconfining Phase Transition on Lattices with Boundaries at Low Temperature

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