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Volume and Quark Mass Dependence of the Chiral Phase Transition

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arxiv hep-ph/0512274 v2 pith:3O2MDONX submitted 2005-12-21 hep-ph

J. Braun (1) , B. Klein (2) , H.-J. Pirner (1 , 3) , A.H. Rezaeian (1) ((1) Institute for Theoretical Physics , University of Heidelberg , (2) GSI , Darmstadt
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(3) Max-Planck-Institut fuer Kernphysik Heidelberg)
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keywords volumechiralcurrent-quarkdependencespatialtemperaturefinitemass
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We investigate chiral symmetry restoration in finite spatial volume and at finite temperature by calculating the dependence of the chiral phase transition temperature on the size of the spatial volume and the current-quark mass for the quark-meson model, using the proper-time Renormalization Group approach. We find that the critical temperature is weakly dependent on the size of the spatial volume for large current-quark masses, but depends strongly on it for small current-quark masses. In addition, for small volumes we observe a dependence on the choice of quark boundary conditions.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Dynamical quark mass and finite volume effects in the Dyson-Schwinger Equations

    hep-ph 2025-08 conditional novelty 4.0 of 10

    In a Dyson-Schwinger model with spherical finite-volume corrections and magnetic-field-dependent coupling, constituent quark masses fall by about 30-40% as the fireball radius shrinks from infinity to 2 fm.

  2. Finite size effects on the phase diagram and the baryon fluctuations via momentum space constraints

    hep-ph 2024-12 conditional novelty 4.0 of 10

    Finite-volume momentum-space constraints in a mean-field quark-meson model shift the critical endpoint significantly for L<10 fm and displace baryon fluctuation signals, with the shift direction depending on the chose...

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