Infrared and Holographic Aspects of the $S$-Matrix in Gauge Theory and Gravity

Kalyanapuram, Nikhil

doi:10.48550/arxiv.2107.06660

Cited by 5 publications

(7 citation statements)

References 181 publications

(274 reference statements)

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“…We believe that our result lends support to the holographic interpretation of the celestial CFT formalism. There is a small body of previous work addressing soft exchange in celestial CFT, primarily in four dimensions [2][3][4][5][6][7][8]. The methods and rationale in these treatments differ significantly from ours but the results for the case d " 2 are equivalent.…”

Section: Introductionmentioning

confidence: 73%

Shadows and Soft Exchange in Celestial CFT

Kapec,

Mitra

2021

Preprint

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We study exponentiated soft exchange in d`2 dimensional gauge and gravitational theories using the celestial CFT formalism. These models exhibit spontaneously broken asymptotic symmetries generated by gauge transformations with non-compact support, and the effective dynamics of the associated Goldstone "edge" mode is expected to be d-dimensional. The introduction of an infrared regulator also explicitly breaks these symmetries so the edge mode in the regulated theory is really a d-dimensional pseudo-Goldstone boson. Symmetry considerations determine the leading terms in the effective action, whose coefficients are controlled by the infrared cutoff. Computations in this model reproduce the abelian infrared divergences in d " 2, and capture the re-summed (infrared finite) soft exchange in higher dimensions. The model also reproduces the leading soft theorems in gauge and gravitational theories in all dimensions. Interestingly, we find that it is the shadow transform of the Goldstone mode that has local d-dimensional dynamics: the effective action expressed in terms of the Goldstone mode is non-local for d ą 2. We also introduce and discuss new magnetic soft theorems. Our analysis demonstrates that symmetry principles suffice to calculate soft exchange in gauge theory and gravity.

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Section: Introductionmentioning

confidence: 73%

Shadows and Soft Exchange in Celestial CFT

Kapec,

Mitra

2021

Preprint

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“…The former would be related to the (partial) sub-subleading soft gluon factorization [32]. In this context, it would be important to make contact with the "celestial" 2d CFT approach to symmetries [58][59][60][61][62][63][64][65], which naturally incorporates higher order factorization formulas satisfying a rich algebraic structure [34,66].…”

Section: Discussionmentioning

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.

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“…While this problem remains more or less intractable for the full dynamics of four-dimensional gravity, it turns out to be considerably simpler to ask intelligent questions as long as we restrict our attention to the soft sector of gravity. Indeed, in a recent series of papers due to the present author [29,36,37], it was shown that in the case of QED and gravity, the leading order soft sectors are dynamically captured by theories that are entirely two dimensional. In the case of QED, this theory turns out to be the simple case of a free boson on the sphere, while in the case of gravity this theory is that of a two-dimensional field obeying a biharmonic equation.…”

Section: Introductionmentioning

confidence: 92%

“…Specifically, we will study this problem in the context of the two-dimensional duals that we now know describe the soft part of gravity at leading order. Indeed, since we now know that the soft theorems are really invariance under supertranslations in disguise, we will recast the entire problem of constructing supertranslation eigenstates in terms of the two-dimensional models of [29,36,37]. In concrete terms, we will give a prescription of how to construct eigenstates of supertranslations given a list of supermomenta in terms of the dual two-dimensional model of soft gravity.…”

Section: Introductionmentioning

confidence: 99%

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Holographic Representations of Supertranslation Eigenstates

Kalyanapuram

2021

Preprint

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We construct by direct computation holographic presentations of supertranslation vacua given a set of supermomenta. To do this, we make use of two-dimensional dual models recently discovered by the author, which encode soft dynamics of gravity at leading order. In particular, the two-dimensional models are used to define soft currents, of which the supertranslation vacua are eigenstates. Operationally, the eigenstates are determined by the bare vacuum state dressed by exponential operators that generalize the dressing due to Faddeev and Kulish.

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Infrared and Holographic Aspects of the $S$-Matrix in Gauge Theory and Gravity

Cited by 5 publications

References 181 publications

Shadows and Soft Exchange in Celestial CFT

Shadows and Soft Exchange in Celestial CFT

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

Holographic Representations of Supertranslation Eigenstates

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