Volume and quark mass dependence of the chiral phase transition

We investigate chiral symmetry restoration in finite spatial volume and at finite temperature by calculating the dependence of the chiral phase transition temperature T{sub c} on the size of the spatial volume and the current-quark mass for the quark-meson model, using the proper-time renormalizatio...

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Veröffentlicht in:Physical review. D, Particles and fields Particles and fields, 2006-04, Vol.73 (7), Article 074010
Hauptverfasser: Braun, J., Klein, B., Pirner, H.-J., Rezaeian, A. H.
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container_title Physical review. D, Particles and fields
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creator Braun, J.
Klein, B.
Pirner, H.-J.
Rezaeian, A. H.
description We investigate chiral symmetry restoration in finite spatial volume and at finite temperature by calculating the dependence of the chiral phase transition temperature T{sub c} 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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subjects ALGEBRAIC CURRENTS
BOUNDARY CONDITIONS
CHIRAL SYMMETRY
CHIRALITY
CRITICAL TEMPERATURE
MESONS
PHASE TRANSFORMATIONS
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUARKS
RENORMALIZATION
REST MASS
title Volume and quark mass dependence of the chiral phase transition
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