Mass inequalities in two dimensional gauged four fermi models

Details Mass inequalities in two dimensional gauged four fermi models Mass inequalities in two dimensional gauged four fermi models

2001-08-17

arxiv.org/abs/hep-ph/0108140v1

Phys.Rev. D65 (2002) 025003

Physics

High Energy Physics

High Energy Physics - Phenomenology

14pp, 5 figs

Scientific paper

10.1103/PhysRevD.65.025003

We quantitatively analyze the meson mass inequality relations of two dimensional gauged four fermi models in the large N limit. The class of models we study includes the 't Hooft model, the chiral and non-chiral Gross-Neveu models as special points in the space of field theories. Cases where the chiral symmetry is spontaneously or explicitly broken are both studied. We study the meson mass inequality quantitatively and define a susceptibility which allows us to systematically analyze the inequality. In the generalized Gross-Neveu model limit, we derive an analytic expression for this susceptibility. Even though no analytic proof of the validity of the classic mass inequality exists for the generic case, the mass inequality is found to be positive throughout most of the parameter space. We point out that the inequality might be negative in certain cases.

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