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Local renormalizable gauge theories from nonlocal operators
Authors:M.A.L. Capri  R. Thibes
Affiliation:a UERJ, Universidade do Estado do Rio de Janeiro, Rua São Francisco Xavier 524, 20550-013 Maracanã, Rio de Janeiro, Brazil
b CBPF, Centro Brasileiro de Pesquisas Físicas, Rua Xavier Sigaud 150, 22290-180 Urca, Rio de Janeiro, Brazil
Abstract:The possibility that nonlocal operators might be added to the Yang-Mills action is investigated. We point out that there exists a class of nonlocal operators which lead to renormalizable gauge theories. These operators turn out to be localizable by means of the introduction of auxiliary fields. The renormalizability is thus ensured by the symmetry content exhibited by the resulting local theory. The example of the nonlocal operator View the MathML source is analyzed in detail. A few remarks on the possible role that these operators might have for confining theories are outlined.
Keywords:Yang-Mills theories   Confinement   BRST symmetry   Algebraic renormalization
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