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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• Universal Aspects of QCD-like Theories
• 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
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• Critical lensing and kurtosis near a critical point in the QCD phase diagram in and out-of-equilibrium
• Lattice-fermionic Casimir effect and topological insulators
• Casimir effect for lattice fermions
• Soft modes in hot QCD matter
• 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
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• Critical behaviour of an effective relativistic mean field model in the presence of magnetic background and boundaries
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• Effect of momentum anisotropy on quark matter in the quark-meson model
• QCD transition at the physical point, and its scaling window from twisted mass Wilson fermions
• Gliding down the QCD transition line, from $N_f=2$ till the onset of conformality
• Thermal and Quantum Phase Transitions of the ${\varphi }^4$ Model
• Finite size effect on Dissociation and Diffusion of chiral partners in Nambu-Jona-Lasinio model