Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-07-14
Phys.Lett. B472 (2000) 5
Physics
High Energy Physics
High Energy Physics - Phenomenology
14 pages including 2 eps figures. Modified sentences on the lowering of the vacuum energy density
Scientific paper
10.1016/S0370-2693(99)01370-2
We extend the N-quantum approach to quantum field theory to finite temperature ($T$) and chemical potential ($\mu$) and apply it to the NJL model. In this approach the Heisenberg fields are expressed using the Haag expansion while temperature and chemical potential are introduced simultaneously through a generalized Bogoliubov transformation. Known mean field results are recovered using only the first term in the Haag expansion. In addition, we find that at finite T and in the broken symmetry phase of the model the mean field approximation can not diagonalize the Hamiltonian. Inclusion of scalar and axial vector diquark channels in the SU(2)$_{rm f}$ $otimes$ SU(3)$_{\rm c}$ version of the model can lead to a lowering of the vacuum energy density. We discuss how to go beyond the mean field approximation by including higher order terms in the Haag expansion.
Umino Yasuo
Vento Vicente
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