Asymptotic structure of higher dimensional Yang-Mills theory
Creators
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1.
California Institute of Technology
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2.
University of Cambridge
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 ≥ 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.
Copyright and License
Copyright T. He and P. Mitra. This work is licensed under the Creative Commons Attribution 4.0 International License.
Published by the SciPost Foundation.
Acknowledgement
We would like to thank Daniel Kapec for useful conversations that initiated this work
Funding
T.H. has been supported by the Heising-Simons Foundation “Observational Signatures of Quantum Gravity” collaboration grant 2021-2817, the U.S. Department of Energy grant DE-SC0011632, and the Walter Burke Institute for Theoretical Physics.
P.M. gratefully acknowledges support from the STFC consolidated grants ST/P000681/1 and
ST/T000694/1
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Additional details
Funding
- Heising-Simons Foundation
- “Observational Signatures of Quantum Gravity 2021-2817
- Science and Technology Facilities Council
- ST/P000681/1
- Science and Technology Facilities Council
- ST/T000694/1
- United States Department of Energy
- DE-SC0011632
Dates
- Accepted
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2024-05-07Accepted
- Available
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2024-05-30Published online