Physical unitarity for a massive Yang-Mills theory without the Higgs field: (I) A perturbative treatment

Abstract

In a series of papers, we examine the physical unitarity in a massive Yang-Mills theory without the Higgs field in which the color gauge symmetry is not spontaneously broken and kept intact. For this purpose, we use a new framework proposed in the previous paper Kondo [arXiv:1208.3521] based on a nonperturbative construction of a non-Abelian field describing a massive spin-one vector boson field, which enables us to perform the perturbative and nonperturbative studies on the physical unitarity. In this paper, we present a new perturbative treatment for the physical unitarity after giving the general properties of the massive Yang-Mills theory. Then we reproduce the violation of physical unitarity in a transparent way. This paper is a preliminary work to the subsequent papers in which we present a nonperturbative framework to propose a possible scenario of restoring the physical unitarity in the Curci-Ferrari model.

17 pages, 11 figures, references updated, a version published in Phys.Rev.D. arXiv admin note: substantial text overlap with arXiv:1208.3521

References in corpus (4)

• Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
• Infrared propagators of Yang-Mills theory from perturbation theory
• A Massive Yang-Mills Theory based on the Nonlinearly Realized Gauge Group
• Remarks on the Curci-Ferrari model

Cited by in corpus (12)

• Covariant gauges without Gribov ambiguities in Yang-Mills theories
• Gluon mass generation in the massless bound-state formalism
• Gluon propagator in two-color dense QCD: Massive Yang-Mills approach at one-loop
• Complex poles and spectral functions of Landau gauge QCD and QCD-like theories
• Reflection positivity and complex analysis of the Yang-Mills theory from a viewpoint of gluon confinement
• Radiative improvement of the lattice NRQCD action using the background field method with applications to quarkonium spectroscopy
• Gauge-independent Brout-Englert-Higgs mechanism and Yang-Mills theory with a gauge-invariant gluon mass term
• Non-perturbative BRST quantization of Euclidean Yang-Mills theories in Curci-Ferrari gauges
• Effects of a quark chemical potential on the analytic structure of the gluon propagator
• Gluon bound state and asymptotic freedom derived from the Bethe--Salpeter equation
• Higher spin fields with reversed spin-statistics relation
• Physical unitarity of a massive Yang-Mills theory without the Higgs field from a viewpoint of confinement