Nambu Jona Lasinio model with proper time regularization in a finite volume

Abstract

Based on the two flavor NJL model with a proper time regularization, we used stationary wave condition (SWC) for the first time to study the influence of the finite volume effects on the chiral phase transition of quark matter at finite temperature. It is found that when the cubic volume size L is large than LSWC = 500 fm, the chiral quark condensate is indistinguishable from that max at L = $\infinity$,Here it should be noted that 500 fm is far greater than the size of QGP produced at laboratory and the lattice QCD simulation space size. It is also much larger than the previous limit size LAPBC = 5 fm estimated by the commonly used anti-periodic boundary condition (APBC). max We also found that when the space size L is less than LSWC = 0.25 fm, the spontaneous symmetry min breaking concept is no longer valid. In addition, we first introduce the spatial susceptibility, and through the study of the spatial susceptibility, it was revealed for the first time that the chiral phase transition caused by the finite volume effects in the nonchiral limit is a crossover.

References in corpus (34)

• Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
• NJL-model analysis of dense quark matter
• The chiral and deconfinement aspects of the QCD transition
• Physics of Strongly coupled Quark-Gluon Plasma
• Quark matter under strong magnetic fields in the Nambu--Jona-Lasinio Model
• The QCD phase diagram at nonzero quark density
• Finite volume effects for meson masses and decay constants
• Interacting fermions in rotation: chiral symmetry restoration, moment of inertia and thermodynamics
• Probing the gluon self-interaction in light mesons
• Inverse magnetic catalysis for the chiral transition induced by thermo-magnetic effects on the coupling constant
• On the Connection Between Momentum Cutoff and Operator Cutoff Regularizations
• Dual quark condensate and dressed Polyakov loops
• Effects of rotation and boundaries on chiral symmetry breaking of relativistic fermions
• Chiral transition in a finite system and possible use of finite size scaling in relativistic heavy ion collisions
• Thermodynamic Properties of Strongly Interacting Matter in a Finite Volume using the Polyakov-Nambu-Jona-Lasinio model
• Volume and Quark Mass Dependence of the Chiral Phase Transition
• The Effect of Fluctuations on the QCD Critical Point in a Finite Volume
• Predictive power of renormalisation group flows: a comparison
• Fluctuation of strongly interacting matter in Polyakov Nambu Jona-Lasinio model in finite volume
• Volume Dependence of the Pion Mass in the Quark-Meson-Model
• Thermo-magnetic properties of the strong coupling in the local Nambu--Jona-Lasinio model
• Influence of quark boundary conditions on the pion mass in finite volume
• Volume behaviour of quark condensate, pion mass and decay constant from Dyson-Schwinger equations
• The Chiral Condensate in a Finite Volume
• Modeling Finite-Volume Effects and Chiral Symmetry Breaking in Two-Flavor QCD Thermodynamics
• Edge states and thermodynamics of rotating relativistic fermions under magnetic field
• Finite volume effects for nucleon and heavy meson masses
• Examination of scaling of Hanbury-Brown--Twiss radii with charged particle multiplicity
• The Wigner Solution and QCD Phase Transitions in a Modified PNJL Model
• Finite-volume effects on phase transition in the Polyakov-loop extended Nambu-Jona-Lasinio model with a chiral chemical potential
• Studies of the structure of massive hybrid stars within a modified NJL model
• Boundary Effects in the Magnetic Catalysis of Chiral Symmetry Breaking
• Reaction dynamics in Pb+Pb at the CERN/SPS: from partonic degrees of freedom to freeze-out
• Perturbative and non-perturbative aspects of the proper time renormalization group

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• Chiral phase transition from the Dyson-Schwinger equations in a finite spherical volume
• Chiral crossover transition from the Dyson-Schwinger equations in a sphere
• Chiral phase transition in a rotating sphere
• Sensitivity of finite size effects to the boundary conditions and the vacuum term
• Nambu-Jona-Lasinio model in a sphere
• Properties of neutral mesons in a hot and magnetized quark matter: size-dependent effects
• QCD Phase Diagram and the Finite Volume Fireball: A Model Study
• Inverse magnetic catalysis and size-dependent effects on the chiral symmetry restoration
• Finite size effect on the thermodynamics of a hot and magnetized hadron resonance gas
• Finite-size effects and scaling properties of chiral and baryon-number fluctuations
• Finite size effects on the phase diagram and the baryon fluctuations via momentum space constraints