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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 | |
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| 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 | |
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| Academic field: | Physics |
| Specialties: |
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| 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:
Has been resubmitted