Linear sigma model at finite density in the 1/N expansion to next-to-leading order

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dc.creatorAndersen, Jens O.
dc.creatorBrauner, Tomas
dc.date2008-04-29
dc.date2008-06-27
dc.date.accessioned2026-07-07T11:50:22Z
dc.date.available2026-07-07T11:50:22Z
dc.descriptionWe study relativistic Bose-Einstein condensation at finite density and temperature using the linear sigma model in the one-particle-irreducible 1/N-expansion. We derive the effective potential to next-to-leading (NLO) order and show that it can be renormalized in a temperature-independent manner. As a particular application, we study the thermodynamics of the pion gas in the chiral limit as well as with explicit symmetry breaking. At nonzero temperature we solve the NLO gap equation and show that the results describe the chiral-symmetry-restoring second-order phase transition in agreement with general universality arguments. However, due to nontrivial regularization issues, we are not able to extend the NLO analysis to nonzero chemical potential.
dc.description12 pages, REVTeX4, 6 eps figures; v2: added references + minor corrections throughout the text; version to appear in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/0804.4604
dc.identifierhttp://arxiv.org/abs/0804.4604
dc.identifierPhys.Rev.D78:014030,2008
dc.identifierdoi:10.1103/PhysRevD.78.014030
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203542
dc.subjectHigh Energy Physics - Phenomenology
dc.titleLinear sigma model at finite density in the 1/N expansion to next-to-leading order
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