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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 $d \geq 2$, 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.

Current status:
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