Thermodynamic Gross-Neveu model under constant electromagnetic field

Details Thermodynamic Gross-Neveu model under constant electromagnetic field Thermodynamic Gross-Neveu model under constant electromagnetic field

1997-07-09

arxiv.org/abs/hep-ph/9707285v2

Nucl.Phys. B517 (1998) 567-598

Physics

High Energy Physics

High Energy Physics - Phenomenology

35 pages, latex with 11 figures

Scientific paper

10.1016/S0550-3213(97)00830-4

Analyzed is the effective potential of D-dimensional thermodynamic Gross-Neveu model (defined by large-N leading order, $2\leq D<4$) under constant electromagnetic field ($\vec{E}\cdot\vec{B}=0$). The potential is derived from a thermal analogy of the worldline formalism. In the magnetic case, the potential is expressed in terms of a discretized momentum sum instead of a continuum momentum integral, and it reproduces known critical values of $\mu$ and $T$ in the continuum limit. In the electric case, chiral symmetry is restored at finite $T$ (with arbitrary $\mu$) against instability of fermion vacuum. An electromagnetic duality is pointed out as well. Phase diagrams are obtained in both cases.

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