Thermal pion masses in the second phase: $|μ_{I}| >m_π$

Details Thermal pion masses in the second phase: $|μ_{I}| >m_π$ Thermal pion masses in the second phase: $|μ_{I}| >m_π$

2004-04-26

arxiv.org/abs/hep-ph/0404232v3

Phys.Rev. D70 (2004) 074005

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 13 figures. Published in Physical Review D70

Scientific paper

10.1103/PhysRevD.70.074005

Density and thermal corrections to the mass of the pions are studied in the framework of the SU(2) low energy effective chiral lagrangian, in terms of the isospin chemical potential $\mu_\tin{I}$. We concentrate the discussion in the region where the isospin chemical potential (absolute value) becomes bigger than the pion mass at zero temperature and density, i.e. in the phase where the condensed $\pi^-$ phase appears (for negative chemical potential). We are able to calculate the thermal and density evolution of masses in the limits where $|\mu_{I}|\gg m$ and where $|\mu_{I}| \gtrsim m$. We also identified the phase transition curve.

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