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Non-perturbative effects in the O(N) gross-neveu model
Affiliation:1. Cardiology Department, IRCCS S. Luca Hospital, Istituto Auxologico Italiano, Milan, Italy;2. Clinica Medica, S. Gerardo Hospital, University Milano Bicocca, Monza, Italy;1. Instituto Oceanográfico, Universidade de São Paulo, Praça do Oceanográfico, 191, 05508-120 São Paulo, SP, Brazil;2. Instituto de Ciências do Mar, Universidade Federal do Ceará, Av. Abolição, 3207, 60165-081 Fortaleza, CE, Brazil;3. Departamento de Química Analítica e Físico-Química, Universidade Federal do Ceará, 60455-760 Fortaleza, CE, Brazil;4. Centro de Investigação em Ecotoxicologia Aquática e Poluição (NEPEA), São Paulo State University (UNESP Campus do Litoral Paulista), Praça Infante Dom Henrique, s/n., CEP 11330-900 São Vicente, SP, Brazil;5. Department of Marine Chemistry and Geochemistry, Woods Hole Oceanographic Institution, 266 Woods Hole road, MA 02543, United States of America
Abstract:The construction of an ordered lagrangian for the O(N) Gross-Neveu model is presented. The procedure introduces a mass gap into the theory, prior to the development of perturbation theory. The results of the standard large N analysis of the theory, including mass generation, can then succesfully be produced. The renormalization of the ordered lagrangian at next to leading order is discussed in detail, and the large N corrections to the β-function are established.
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