Sunday, May 27, 2012

0709.0644 (Daniele Bettinelli et al.)

One-loop Self-energy and Counterterms in a Massive Yang-Mills Theory
based on the Nonlinearly Realized Gauge Group
   [PDF]

Daniele Bettinelli, Ruggero Ferrari, Andrea Quadri
In this paper we evaluate the self-energy of the vector mesons at one loop in our recently proposed subtraction scheme for massive nonlinearly realized SU(2) Yang-Mills theory. We check the fulfillment of physical unitarity. The resulting self-mass can be compared with the value obtained in the massive Yang-Mills theory based on the Higgs mechanism, consisting in extra terms due to the presence of the Higgs boson (tadpoles included). Moreover we evaluate all the one-loop counterterms necessary for the next order calculations. By construction they satisfy all the equations of the model (Slavnov-Taylor, local functional equation and Landau gauge equation). They are sufficient to make all the one-loop amplitudes finite through the hierarchy encoded in the local functional equation.
View original: http://arxiv.org/abs/0709.0644

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