Exact solution of the multiflavor gross-neveu model |
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| Affiliation: | 1. Departamento de Engenharia de Produção, Centro de Tecnologia, Universidade Federal da Paraíba, Campus I - Bloco G, Cidade Universitíria, 58051-970, João Pessoa, PB , Brazil;2. Departamento de Sistemas de Computação, Centro de Informática, Universidade Federal da Paraíba, Rua dos Escoteiros, Mangabeira, 58058-600, João Pessoa, PB, Brazil;3. School of Management, University of Bath, Bath BA2 7AY, United Kingdom;4. CIRRELT and HEC Montréal, Montréal H3T 2A7, Canada |
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| Abstract: | The Bethe-ansatz solution is presented for the multiflavor model arising in the Polyakov-Wiegmann fermionization of the SU(2) principal chiral field, i.e. the O(4) σ model. The vacuum and excitations with finite energy and momentum are constructed. The assumption that massive particles of the σ model are in the vector representation of O(4) is not corroborated. The renormalization-group β function agrees with a one-charge solution in perturbation theory. |
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