Symmetry restoration in gauge boson wave packet collisions in Yang-Mills-Higgs theory

We present an analytic calculation of the paramagnetic and diamagnetic contributions to the one-loop effective action in the SU(2) Higgs model. The paramagnetic contribution is produced by the gauge boson, while the diamagnetic contribution is produced by the gauge boson and the ghost. In the limit, where these particles are massless, the standard result of - 12 for the ratio of the paramagnetic to the diamagnetic contribution is reproduced. If the mass of the gauge boson and the ghost become much larger than the inverse vacuum correlation lengths of the Yang–Mills vacuum, the value of the ratio goes to - 8 . We also find that the same values of the ratio are achieved in the deconfinement phase of the model, up to the temperatures at which the dimensional reduction occurs.

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Asymptotic dynamics on the worldline for spinning particles

Journal of High Energy Physics ◽

10.1007/jhep02(2021)007 ◽

2021 ◽

Vol 2021 (2) ◽

Cited By ~ 1

Author(s):

Domenico Bonocore

Keyword(s):

Scattering Amplitudes ◽

Gauge Boson ◽

Classical Limit ◽

Wilson Line ◽

Background Field ◽

Spinning Particle ◽

Spinning Particles ◽

Yang Mills ◽

Asymptotic Dynamics ◽

Gravity Theories

Abstract There has been a renewed interest in the description of dressed asymptotic states à la Faddeev-Kulish. In this regard, a worldline representation for asymptotic states dressed by radiation at subleading power in the soft expansion, known as the Generalized Wilson Line (GWL) in the literature, has been available for some time, and it recently found applications in the derivation of factorization theorems for scattering processes of phenomenological relevance. In this paper we revisit the derivation of the GWL in the light of the well-known supersymmetric wordline formalism for the relativistic spinning particle. In particular, we discuss the importance of wordline supersymmetry to understand the contribution of the soft background field to the asymptotic dynamics. We also provide a derivation of the GWL for the gluon case, which was not previously available in the literature, thus extending the exponentiation of next-to-soft gauge boson corrections to Yang-Mills theory. Finally, we comment about possible applications in the current research about asymptotic states in scattering amplitudes for gauge and gravity theories and their classical limit.

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Lorentz violating gaugeon formalism of Yang–Mills theory

International Journal of Modern Physics A ◽

10.1142/s0217751x1950026x ◽

2019 ◽

Vol 34 (05) ◽

pp. 1950026

Author(s):

Mushtaq B. Shah ◽

Prince A. Ganai ◽

W. A. Dar

Keyword(s):

Gauge Boson ◽

Configuration Space ◽

Lorentz Group ◽

Relativistic Effects ◽

Brst Transformation ◽

Gauge Freedom ◽

Yang Mills ◽

Functional Measure

VSR is a way of keeping the main relativistic effects intact using subgroups of the Lorentz group instead of the full Lorentz group itself. In this paper, we study the quantization of the Yang–Mills theory, gaugeon formalism within the VSR framework. The gauge freedom is restored once we develop the gaugeon formalism. Also, the mass of corresponding gauge boson is modified because of the VSR effect. We find that the gaugeon formalism for Yang–Mills theory in VSR is consistent with the Lorentz invariant case except the fact that each field gets mass. We also discuss the generalization of BRST transformation within VSR framework. It is found that the gaugeon modes appear in the configuration space through the Jacobian of functional measure.

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