Large N solution of generalized Gross-Neveu model with two coupling constants

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages, 13 figures; v2: small corrections, improved readability; v3: typos in references corrected

Scientific paper

10.1103/PhysRevD.80.125038

The Gross-Neveu model in 1+1 dimensions is generalized to the case of different scalar and pseudoscalar coupling constants. This enables us to interpolate smoothly between the standard massless Gross-Neveu models with either discrete or continuous chiral symmetry. We present the solution of the generalized model in the large N limit including the vacuum, fermion-antifermion scattering and bound states, solitonic baryons with fractional baryon number and the full phase diagram at finite temperature and chemical potential.

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