Path integral quantization for massive vector bosons

Abstract

A parity-conserving and Lorentz-invariant effective field theory of self-interacting massive vector fields is considered. For the interaction terms with dimensionless coupling constants the canonical quantization is performed. It is shown that the self-consistency condition of this system with the second-class constraints in combination with the perturbative renormalizability leads to an SU(2) Yang-Mills theory with an additional mass term.

16 pages, 2 figures, REVTeX 4

References in corpus (6)

• The complex-mass scheme for perturbative calculations with unstable particles
• Infrared regularization for spin-1 fields
• Two-Loop Renormalization in the Standard Model Part III: Renormalization Equations and their Solutions
• Complex-mass renormalization in chiral effective field theory
• Two-Loop Threshold Singularities, Unstable Particles and Complex Masses
• Infrared regularization with vector mesons and baryons

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• Derivation of spontaneously broken gauge symmetry from the consistency of effective field theory I: Massive vector bosons coupled to a scalar field
• Chiral effective field theories of the strong interactions
• Derivation of spontaneously broken gauge symmetry from the consistency of effective field theory II: Scalar field self-interactions and the electromagnetic interaction
• Properties of effective massive Yang-Mills theory in the limit of vanishing vector boson mass