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Fernández Fraile, Daniel and Gómez Nicola, Ángel (2009) Chemical nonequilibrium for interacting bosons: applications to the pion gas. Physical review D, 80 (5). ISSN 15507998

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Official URL: http://dx.doi.org/10.1103/PhysRevD.80.056003
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http://journals.aps.org  Publisher 
Abstract
We consider an interacting pion gas in a stage of the system evolution where thermal but not chemical equilibrium has been reached, i.e., for temperatures between thermal and chemical freezeout T(ther) < T < T(chem) reached in relativistic heavyion collisions. Approximate particle number conservation is implemented by a nonvanishing pion number chemical potential mu(pi) within a diagrammatic thermal fieldtheory approach, valid in principle for any bosonic field theory in this regime. The resulting Feynman rules are derived here and applied within the context of chiral perturbation theory to discuss thermodynamical quantities of interest for the pion gas such as the free energy, the quark condensate, and thermal selfenergy. In particular, we derive the mu(pi) not equal 0 generalization of Luscher and GellMannOakesRennertype relations. We pay special attention to the comparison with the conventional kinetic theory approach in the dilute regime, which allows for a check of consistency of our approach. Several phenomenological applications are discussed, concerning chiral symmetry restoration, freezeout conditions, and BoseEinstein pion condensation.
Item Type:  Article 

Additional Information:  © 2009 The American Physical Society. 
Uncontrolled Keywords:  Chiral perturbationtheory; Heavyion collisions; BoseEinstein condensation; Quantumfield theories; Finitetemperature; Realtime; Dispersionrelations; Imaginarytime; Matter; Dynamics 
Subjects:  Sciences > Physics > PhysicsMathematical models Sciences > Physics > Mathematical physics 
ID Code:  30321 
Deposited On:  27 May 2015 09:54 
Last Modified:  10 Dec 2018 15:09 
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