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arXiv · 1209.3994

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

Kei-Ichi Kondo·Kenta Suzuki·Hitoshi Fukamachi·Shogo Nishino·Toru Shinohara
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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.

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Kei-Ichi Kondo, Kenta Suzuki, Hitoshi Fukamachi, Shogo Nishino, Toru Shinohara. 2013-01-11. Physical unitarity for a massive Yang-Mills theory without the Higgs field: (I) A perturbative treatment. https://doi.org/10.1103/physrevd.87.025017

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