- Conference date: 28 March-3 April 2004
- Location: Rio de Janeiro (Brazil)
The density corrections, in terms of the isospin chemical potential μ1 to the mass of the pions are studied in the framework of the SU (2) low energy effective chiral lagrangian in the two phases: The normal phase |μ1| < m π and the condensed phase |μ1| > m π. The pion decay constant f π(T,μ1) is also analyzed in the first phase. As a function of temperature for μ1 = 0, the mass remains quite stable, starting to grow for very high values of T, confirming previous results. However, there are interesting corrections to the mass when both effects (temperature and chemical potential) are simultaneously present. At zero temperature the π± should condense when μ1 = ±m π. This is not longer valid anymore at finite T. The mass of the π0 acquires also a non trivial dependence on μ1 due to the finite temperature. In the second phase we are able to calculate the thermal and density evolution of masses in the limits where |μ1| ≫ m and where |μ1| ∼ m. We also identified the phase transition curve.
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