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

Abstract

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.

26 pages, 12 figures, minor changes, final version accepted by Phys. Rev. D, typos corrected in eqs.(8),(17),(27),(28)

References in corpus (3)

• A Massive Yang-Mills Theory based on the Nonlinearly Realized Gauge Group
• Further Comments on the Symmetric Subtraction of the Nonlinear Sigma Model
• Path-integral over non-linearly realized groups and Hierarchy solutions

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• The Algebra of Physical Observables in Nonlinearly Realized Gauge Theories
• The Stueckelberg Mechanism in the presence of Physical Scalar Resonances
• A non-perturbative study of massive gauge theories
• A Symmetric Approach to the Massive Nonlinear Sigma Model
• The Electroweak Model based on the Nonlinearly realized Gauge Group. Theoretical Foundations and Phenomenological Prospects
• Quantum Local Symmetry of the D-Dimensional Non-Linear Sigma Model: A Functional Approach
• Of Higgs, Unitarity and other Questions