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arXiv · hep-ph/9707285

Thermodynamic Gross-Neveu model under constant electromagnetic field

Shinya Kanemura·Haru-Tada Sato·Hiroshi Tochimura
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Abstract

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 $μ$ and $T$ in the continuum limit. In the electric case, chiral symmetry is restored at finite $T$ (with arbitrary $μ$) against instability of fermion vacuum. An electromagnetic duality is pointed out as well. Phase diagrams are obtained in both cases.

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Shinya Kanemura, Haru-Tada Sato, Hiroshi Tochimura. 1997-12-24. Thermodynamic Gross-Neveu model under constant electromagnetic field. https://doi.org/10.1016/s0550-3213(97)00830-4

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