Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-02-26
Phys.Rev.D75:105017,2007
Physics
High Energy Physics
High Energy Physics - Theory
10 pages, 10 figures; v2: More details about perturbation theory given, cf Eqs. (46-48)
Scientific paper
10.1103/PhysRevD.75.105017
The phase diagram of the massive chiral Gross-Neveu model (the 1+1-dimensional Nambu-Jona-Lasinio model at large N) is investigated in the vicinity of the tricritical point. Using the derivative expansion, the grand canonical potential is cast into the form of a Ginzburg-Landau effective action. Minimization of this action by variational and numerical methods reveals both 1st and 2nd order phase transitions to a chiral crystal phase, separated by a tricritical line. These findings are contrasted to the massive Gross-Neveu model with discrete chiral symmetry where only 2nd order transitions have been observed.
Boehmer Christian
Thies Michael
Urlichs Konrad
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