Asymptotic charges and coherent states in QCD

Gonzo, Riccardo; Loughlin, Tristan Mc; Spiering, Anne; Medrano, Diego

doi:10.1103/physrevd.104.025019

“…Since the seminal work of Strominger [6] it has been understood that the leading soft gluon factorization can be understood as a conservation law associated to large O(r 0 ) gauge symmetries (see also [41][42][43][44][45]). On the other hand, the symmetry interpretation of the subleading factorization is more subtle: the asymptotic charges are known thanks to the work of Lysov, Pasterski and Strominger (LPS) [21], 6 but it is unclear what the underlying symmetry algebra is.…”

Section: Review Of Known Asymptotic Chargesmentioning

confidence: 99%

Charge algebra for non-abelian large gauge symmetries at O(r)

Campiglia

¹

,

Peraza

²

2021

J. High Energ. Phys.

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Asymptotic symmetries of gauge theories are known to encode infrared properties of radiative fields. In the context of tree-level Yang-Mills theory, the leading soft behavior of gluons is captured by large gauge symmetries with parameters that are O(1) in the large r expansion towards null infinity. This relation can be extended to subleading order provided one allows for large gauge symmetries with O(r) gauge parameters. The latter, however, violate standard asymptotic field fall-offs and thus their interpretation has remained incomplete. We improve on this situation by presenting a relaxation of the standard asymptotic field behavior that is compatible with O(r) gauge symmetries at linearized level. We show the extended space admits a symplectic structure on which O(1) and O(r) charges are well defined and such that their Poisson brackets reproduce the corresponding symmetry algebra.

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“…Further studies of their connection may enhance our understanding of both of these problems. See reference [57] for a recent work on the leading soft FK dressings and asymptotic symmetries of perturbative QCD.…”

Section: Discussionmentioning

confidence: 99%

Subleading soft dressings of asymptotic states in QED and perturbative quantum gravity

Choi

¹

,

Akhoury

²

2019

J. High Energ. Phys.

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We construct Faddeev-Kulish states in QED and perturbative quantum gravity to subleading order in the soft momentum expansion and to first order in the coupling constant, using the charge conservation formula of asymptotic symmetries associated with the tree-level subleading soft theorems. We demonstrate that the emission and absorption of soft photons/gravitons in dressed amplitudes vanish. The fact that no additional soft radiation may be added to a dressed amplitude supports the claim that, in the dressed state formalism, the soft and hard sectors of scattering processes are correlated. We also show that the dressed virtual amplitudes are equivalent to the infrared-finite part of the traditional amplitudes constructed using Fock states. Since there is no real soft radiation in the asymptotic Hilbert space, the dressed state formalism gives the same cross sections as the Bloch-Nordsieck method.

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“…Since the seminal work of Strominger [6] it has been understood that the leading soft gluon factorization can be understood as a conservation law associated to large O(r 0 ) gauge symmetries (see also [41][42][43][44][45]). On the other hand, the symmetry interpretation of the subleading factorization is more subtle: The asymptotic charges are known thanks to the work of Lysov, Pasterski and Strominger (LPS) [21], 5 but it is unclear what the underlying symmetry algebra is.…”

Section: Review Of Known Asymptotic Chargesmentioning

confidence: 99%

Charge algebra for non-abelian large gauge symmetries at $O(r)$

Campiglia,

Peraza

2021

Preprint

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Asymptotic symmetries of gauge theories are known to encode infrared properties of radiative fields. In the context of tree-level Yang-Mills theory, the leading soft behavior of gluons is captured by large gauge symmetries with parameters that are O(1) in the large r expansion towards null infinity. This relation can be extended to subleading order provided one allows for large gauge symmetries with O(r) gauge parameters. The latter, however, violate standard asymptotic field fall-offs and thus their interpretation has remained incomplete. We improve on this situation by presenting a relaxation of the standard asymptotic field behavior that is compatible with O(r) gauge symmetries at linearized level. We show the extended space admits a symplectic structure on which O(1) and O(r) charges are well defined and such that their Poisson brackets reproduce the corresponding symmetry algebra.

show abstract

Asymptotic charges and coherent states in QCD

Cited by 8 publications

References 83 publications

Charge algebra for non-abelian large gauge symmetries at O(r)

Charge algebra for non-abelian large gauge symmetries at O(r)

Subleading soft dressings of asymptotic states in QED and perturbative quantum gravity

Charge algebra for non-abelian large gauge symmetries at $O(r)$

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