The strong couplings of massive Yang-Mills theory
arXiv:2111.00017 · doi:10.1007/JHEP03(2022)167
Abstract
We study the massive Yang-Mills theory in which the mass term is added by hand. The standard perturbative approach suggests that the massless limit of this theory is not smooth. We confirm that this issue is related to the existence of additional degrees of freedom, which are absent in the massless theory. Nevertheless, we show that the longitudinal modes become strongly coupled at the Vainshtein scale, which coincides with the scale of the unitarity violation. Beyond this scale, they decouple from the remaining degrees of freedom, and the massless theory is restored up to small corrections. From here, it follows that the apparent discontinuity in the massless limit is only an artefact of the perturbation theory. The massless limit of massive Yang-Mills theory is smooth, as originally proposed by A. I. Vainshtein and I. B. Khriplovich.
arXiv comment23 pages
References in corpus (9)
- Nonperturbative Continuity in Graviton Mass versus Perturbative Discontinuity
- The Stueckelberg Field
- On the Graviton Mass
- Physical Unitarity for Massive Non-abelian Gauge Theories in the Landau Gauge: Stueckelberg and Higgs
- Mimetic Massive Gravity: Beyond Linear Approximation
- A Massive Yang-Mills Theory based on the Nonlinearly Realized Gauge Group
- Polynomial Form of the Stueckelberg Model
- One-loop Self-energy and Counterterms in a Massive Yang-Mills Theory based on the Nonlinearly Realized Gauge Group
- On renormalizability of the effective field theory of massive Yang-Mills fields