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. (C) 2002 Elsevier Science B.V. All rights reserved.
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Univ Paris Saclay, Univ Paris Sud, CNRS, Lab Phys Theor,UMR8627, F-91405 Orsay, FranceUniv Paris Saclay, Univ Paris Sud, CNRS, Lab Phys Theor,UMR8627, F-91405 Orsay, France
Benedetti, Dario
Carrozza, Sylvain
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Perimeter Inst Theoret Phys, 31 Caroline St N, Waterloo, ON N2L 2Y5, CanadaUniv Paris Saclay, Univ Paris Sud, CNRS, Lab Phys Theor,UMR8627, F-91405 Orsay, France
Carrozza, Sylvain
Gurau, Razvan
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Perimeter Inst Theoret Phys, 31 Caroline St N, Waterloo, ON N2L 2Y5, Canada
Ecole Polytech, CNRS, Ctr Phys Theor, F-91128 Palaiseau, FranceUniv Paris Saclay, Univ Paris Sud, CNRS, Lab Phys Theor,UMR8627, F-91405 Orsay, France
Gurau, Razvan
Sfondrini, Alessandro
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Swiss Fed Inst Technol, Inst Theoret Phys, Wolfgang Pauli Str 27, CH-8093 Zurich, SwitzerlandUniv Paris Saclay, Univ Paris Sud, CNRS, Lab Phys Theor,UMR8627, F-91405 Orsay, France