Generalized coherent states in QCD from asymptotic symmetries

H, Anupam A.; Athira, P V

doi:10.1103/physrevd.101.066010

“…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.

View full text Add to dashboard Cite

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

“…On the other hand, quite interestingly, the recent symmetrybased interpretation of infrared limits on the 'celestial sphere' [161] can be linked to coherent states [180]. This has lead to a number of new studies and applications [158,[181][182][183][184][185], including the case of gravity [186][187][188][189], and it is to be expected that further developments will be forthcoming.…”

Section: Soft Divergences In Qedmentioning

confidence: 99%

The Infrared Structure of Perturbative Gauge Theories

Agarwal¹,

Magnea²,

Signorile-Signorile³

2021

Preprint

View full text Add to dashboard Cite

Infrared divergences in the perturbative expansion of gauge theory amplitudes and cross sections have been a focus of theoretical investigations for almost a century. New insights still continue to emerge, as higher perturbative orders are explored, and high-precision phenomenological applications demand an ever more refined understanding. This review aims to provide a pedagogical overview of the subject. We briefly cover some of the early historical results, we provide some simple examples of low-order applications in the context of perturbative QCD, and discuss the necessary tools to extend these results to all perturbative orders. Finally, we describe recent developments concerning the calculation of soft anomalous dimensions in multi-particle scattering amplitudes at high orders, and we provide a brief introduction to the very active field of infrared subtraction for the calculation of differential distributions at colliders.

show abstract

“…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

View full text Add to dashboard Cite

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

Generalized coherent states in QCD from asymptotic symmetries

Cited by 10 publications

References 25 publications

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

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

The Infrared Structure of Perturbative Gauge Theories

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

Contact Info

Product

Resources

About