Gap equations and effective potentials at finite temperature and chemical potential in D dimensional four-fermion models

Details Gap equations and effective potentials at finite temperature and chemical potential in D dimensional four-fermion models Gap equations and effective potentials at finite temperature and chemical potential in D dimensional four-fermion models

2002-12-13

arxiv.org/abs/hep-ph/0212193v2

Commun.Theor.Phys.39:663-666,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, Latex, no figure Peport-no: AS-GS-TP-012 (2002)

Scientific paper

We have proven the general relations between the gap equations obeyed by dynamical fermion mass and corresponding effective potentials at finite temperature and chemical potential in D dimensional four-fermion interaction models. This gives an easy approach to get effective potentials directly from the gap equations. We find out explicit expressions for the effective potentials at zero temperature in the cases of $D=2,3$ and 4 for practical use.

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