Phase Structure of Four-Fermion Theories at Finite Temperature and Chemical Potential in Arbitrary Dimensions

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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32 pages, uses LaTeX, here.sty(attached), eepic.sty, HUPD-9402 (some misprints corrected)

Scientific paper

10.1142/S0217751X95001091

The phase structure of four-fermion theories is thoroughly investigated with varying temperature and chemical potential for arbitrary space-time dimensions $(2 \leq D < 4)$ by using the 1/N expansion method. It is shown that the chiral symmetry is restored in the theory under consideration for sufficiently high temperature and/or chemical potential. The critical line dividing the symmetric and broken phase is given explicitly. It is found that for space-time dimension $2 \leq D < 3$ both the first-order and second-order phase transition occur depending on the value of temperature and chemical potential while for $3 \leq D < 4$ only the second-order phase transition exists.

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