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Asymptotic Structure of Higher Dimensional Yang-Mills Theory

by Temple He, Prahar Mitra

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Submission summary

Authors (as registered SciPost users): Prahar Mitra
Submission information
Preprint Link: https://arxiv.org/abs/2306.04571v1  (pdf)
Date submitted: 2023-06-29 22:38
Submitted by: Mitra, Prahar
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • High-Energy Physics - Theory
Approach: Theoretical

Abstract

Using the covariant phase space formalism, we construct the phase space for non-Abelian gauge theories in (d+2)-dimensional Minkowski spacetime for any d2, including the edge modes that symplectically pair to the low energy degrees of freedom of the gauge field. Despite the fact that the symplectic form in odd and even-dimensional spacetimes appear ostensibly different, we demonstrate that both cases can be treated in a unified manner by utilizing the shadow transform. Upon quantization, we recover the algebra of the vacuum sector of the Hilbert space and derive a Ward identity that implies the leading soft gluon theorem in (d+2)-dimensional spacetime.

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