A renormalizable field theory: The massive Gross-Neveu model in two dimensions |
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| Authors: | Joel Feldman J. Magnen V. Rivasseau R. Sénéor |
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| Affiliation: | (1) Mathematics Department, University of British Columbia, V6T 1Y4 Vancouver, B.C., Canada;(2) Centre de Physique Théorique, Ecole Polytechnique, F-91128 Palaiseau Cedex, France |
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| Abstract: | The Euclidean massive Gross-Neveu model in two dimensions is just renormalizable and asymptotically free. Thanks to the Pauli principle, bare perturbation theory with an ultra-violet cut-off (and the correct ansatz for the bare mass) is convergent in a disk, whose radius corresponds by asymptotic freedom to a small finite renormalized coupling constant. Therefore, the theory can be fully constructed in a perturbative way. It satisfies the O.S. axioms and is the Borel sum of the renormalized perturbation expansion of the model |
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