On the scaling behavior of the chiral phase transition in QCD in finite and infinite volume

Abstract

We study the scaling behavior of the two-flavor chiral phase transition using an effective quark-meson model. We investigate the transition between infinite-volume and finite-volume scaling behavior when the system is placed in a finite box. We can estimate effects that the finite volume and the explicit symmetry breaking by the current quark masses have on the scaling behavior which is observed in full QCD lattice simulations. The model allows us to explore large quark masses as well as the chiral limit in a wide range of volumes, and extract information about the scaling regimes.In particular, we find large scaling deviations for physical pion masses and significant finite volume effects for pion masses that are used in current lattice simulations.

26 pages, 6 figures, 1 table

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Cited by in corpus (22)

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• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
• QCD at finite temperature and density within the fRG approach: An overview
• Ultracold atoms and the Functional Renormalization Group
• Universal Aspects of QCD-like Theories
• Ising and Gross-Neveu model in next-to-leading order
• Thermodynamics and fluctuations of conserved charges in Hadron Resonance Gas model in finite volume
• Fluctuation of strongly interacting matter in Polyakov Nambu Jona-Lasinio model in finite volume
• Modeling Finite-Volume Effects and Chiral Symmetry Breaking in Two-Flavor QCD Thermodynamics
• Dynamics of the $O(4)$ critical point in QCD
• Critical lensing and kurtosis near a critical point in the QCD phase diagram in and out-of-equilibrium
• Soft modes in hot QCD matter
• Casimir effect for lattice fermions
• U(2)xU(2)-symmetric fixed point from the Functional Renormalization Group
• Phase structure of 2+1-flavour QCD and the magnetic equation of state
• Finite-size effects on the Phase Structure of the Walecka Model
• The QCD moat regime and its real-time properties
• Critical behaviour of an effective relativistic mean field model in the presence of magnetic background and boundaries
• Dilepton production from moaton quasiparticles
• QCD transition at the physical point, and its scaling window from twisted mass Wilson fermions
• Thermal and Quantum Phase Transitions of the ${\varphi }^4$ Model
• Gliding down the QCD transition line, from $N_f=2$ till the onset of conformality