Uniting Gross-Neveu and Massive Schwinger Models

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Version to appear in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(02)02692-8

We show that it is possible to obtain the Gross-Neveu model in 1+1 dimensions from gauge fields only. This is reminiscent of the fact that in 1+1 dimensions the gauge field tensor is essentially a pseudo-scalar. We also show that it is possible in this context to combine the Gross-Neveu model with the massive Schwinger model in the limit where the fermion mass is larger than the electric charge.

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