A local and integrable lattice regularization of the massive Thirring model |
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| Affiliation: | 1. Dipartimento di Fisica, Università di Milano and INFN, Sezione di Milano, I-20133 Milan, Italy;2. Dipartimento di Fisica, Università di Parma and INFN, Gruppo Collegato di Parma, I-43100 Parma, Italy;1. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;2. Key Lab of Mathematics Mechanization, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China;3. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;1. School of Mathematical Sciences, Peking University, Beijing, 100871, China;2. Department of Mathematics, University of Rochester, Rochester, NY 14627, USA |
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| Abstract: | The light-cone lattice approach to the massive Thirring model is reformulated using a local and integrable lattice hamiltonian written in terms of discrete Fermi fields. Several subtle points concerning boundary conditions, normal ordering, continuum limit, finite renormalizations and decoupling of fermion doublers are elucidated. The relations connecting the six-vertex anisotropy and the various coupling constants of the continuum are analyzed in detail. |
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