Linear sigma model at finite density in the 1/N expansion to next-to-leading order
- Department of Physics, Norwegian University of Science and Technology, N-7491 Trondheim (Norway)
We 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.
- OSTI ID:
- 21250236
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 78, Issue 1; Other Information: DOI: 10.1103/PhysRevD.78.014030; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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