Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-01-09
J.Phys.A39:12707-12734,2006
Physics
High Energy Physics
High Energy Physics - Theory
33 pages, 12 figures; invited contribution to a special issue of Journal of Physics A on "QFT in lower dimensions and its appl
Scientific paper
10.1088/0305-4470/39/41/S04
During the last few years, the phase diagram of the large N Gross-Neveu model in 1+1 dimensions at finite temperature and chemical potential has undergone a major revision. Here we present a streamlined account of this development, collecting the most important results. Quasi-one-dimensional condensed matter systems like conducting polymers provide real physical systems which can be approximately described by the Gross-Neveu model and have played some role in establishing its phase structure. The kink-antikink phase found at low temperatures is closely related to inhomogeneous superconductors in the Larkin-Ovchinnikov-Fulde-Ferrell phase. With the complete phase diagram at hand, the Gross-Neveu model can now serve as a firm testing ground for new algorithms and theoretical ideas.
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