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Study of the nonlocal gauge invariant mass operator Tr∫d4xFμν(D2)−1Fμν in the maximal Abelian gauge

M A L Capri1, V E R Lemes1, R F Sobreiro2, S P Sorella1 and R Thibes1

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The nonlocal gauge invariant mass operator Tr∫d4xFμν(D2)−1Fμν is investigated in Yang–Mills theories in the maximal Abelian gauge. By means of the introduction of auxiliary fields a local action is achieved, enabling us to use the algebraic renormalization in order to prove the renormalizability of the resulting local model to all orders of perturbation theory.


PACS

11.15.Bt General properties of perturbation theory

11.10.Lm Nonlinear or nonlocal theories and models

11.10.Gh Renormalization

12.38.Aw General properties of QCD (dynamics, confinement, etc.)

MSC

81V05 Strong interaction, including quantum chromodynamics

81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)

81T15 Perturbative methods of renormalization

Subjects

Particle physics and field theory

Dates

Issue 15 (18 April 2008)

Received 18 December 2007, in final form 19 December 2007

Published 2 April 2008



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