Remarks on asymptotic symmetries and the subleading soft photon theorem

Conde, Eduardo; Mao, Pujian

doi:10.1103/physrevd.95.021701

Cited by 78 publications

(110 citation statements)

References 48 publications

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“…While there is qualitative difference in radial dependence of our residual symmetries with the asymptotic symmetries considered in [22,23,25,27], we still expect that there is a close link between equation (5.15) and their results. The reason is that there is a one to one correspondence between the smooth solutions to the Laplace equation inside a sphere and an arbitrary function on the sphere.…”

Section: Jhep06(2017)080mentioning

confidence: 60%

“…Most famously, in the context of gravity, large gauge transformations provide basic understanding of holography [10,18], microscopic counting of black hole entropy [5,19,20], and even an identification of black hole microstates [21]. In QED and gravity, they are recently used to prove Weinberg's soft theorems [7,[22][23][24][25] and more generally Low's subleading soft theorems [26][27][28] and its gravitational counterpart [29,30]. Also large gauge transformations are used to describe the so called "edge states" in quantum Hall effect [31,32].…”

Section: Residual Gauge Symmetries and Asymptotic Symmetriesmentioning

confidence: 99%

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Multipole charge conservation and implications on electromagnetic radiation

Seraj

2017

J. High Energ. Phys.

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It is shown that conserved charges associated with a specific subclass of gauge symmetries of Maxwell electrodynamics are proportional to the well known electric multipole moments. The symmetries are residual gauge transformations surviving the Lorenz gauge, with nontrivial conserved charge at spatial infinity. These "Multipole charges" receive contributions both from the charged matter and electromagnetic fields. The former is nothing but the electric multipole moment of the source. In a stationary configuration, there is a novel equipartition relation between the two contributions. The multipole charge, while conserved, can freely interpolate between the source and the electromagnetic field, and therefore can be propagated with the radiation. Using the multipole charge conservation, we obtain infinite number of constraints over the radiation produced by the dynamics of charged matter.

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Section: Jhep06(2017)080mentioning

confidence: 60%

Section: Residual Gauge Symmetries and Asymptotic Symmetriesmentioning

confidence: 99%

Multipole charge conservation and implications on electromagnetic radiation

Seraj

2017

J. High Energ. Phys.

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“…Examples include for instance asymptotically flat or anti-de Sitter spacetimes in three dimensions in Fefferman-Graham or BMS gauge with fixed conformal factor. In this case, the co-dimension 2 forms are closed for all residual gauge transformations, they are conserved and r-independent (see for instance [57,58]), so that they may be computed at any finite r. It also follows from (2.49) and (2.54) that subleading charges recently considered for instance in [31,59,60] are controlled by W 0 δL{δφ rφ, Rf s|φ.…”

Section: Residual Gauge Transformations and Breakingmentioning

confidence: 99%

BMS current algebra in the context of the Newman–Penrose formalism

Barnich

Mao

Ruzziconi

2020

Class. Quantum Grav.

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Starting from an action principle adapted to the Newman-Penrose formalism, we provide a self-contained derivation of BMS current algebra, which includes the generalization of the Bondi mass loss formula to all BMS generators. In the spirit of the Newman-Penrose approach, infinitesimal diffeomorphisms are expressed in terms of four scalars rather than a vector field. In this framework, the on-shell closed co-dimension two forms of the linearized theory associated with Killing vectors of the background are constructed from a standard algorithm. The explicit expression for the breaking that occurs when using residual gauge transformations instead of exact Killing vectors is worked out and related to the presymplectic flux.

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“…In Refs. [25,26], it was argued that the 1=r expansion of large gauge transformations and supertranslation charges correspond to the (sub)subleading soft theorems of the photon or graviton. In this sense, our x n expansion seems to correspond to the 1=r expansion.…”

mentioning

confidence: 99%

“…However, the method in Refs. [25,26] cannot determine the constant of integration completely, and higher order charges do not lead to soft theorems beyond the (sub)subleading order. As a different approach, it was shown in Refs.…”

mentioning

confidence: 99%

Infinite Set of Soft Theorems in Gauge-Gravity Theories as Ward-Takahashi Identities

Hamada

Shiu

2018

Phys. Rev. Lett.

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We show that the soft photon, gluon, and graviton theorems can be understood as the Ward-Takahashi identities of large gauge transformation, i.e., diffeomorphism that does not fall off at spatial infinity. We found infinitely many new identities which constrain the higher order soft behavior of the gauge bosons and gravitons in scattering amplitudes of gauge and gravity theories. Diagrammatic representations of these soft theorems are presented. DOI: 10.1103/PhysRevLett.120.201601 Introduction.-The last few decades have witnessed a remarkable synergy between particle physics and cosmology. While the objects of interest are vastly different, the tools to study them often share a great deal of similarity. A recent example of this synergy is the notion of "cosmological collider physics" [1]. Just as we extract particles' interactions from scattering in colliders, we can extract the interactions governing the early Universe from the correlations of primordial fluctuations that seed cosmic structure formation. Thus, N-point corrections (N ≥ 3) of the curvature perturbation (also known as non-Gaussianities) play a similar role as scattering amplitudes in particle physics.Another commonality between particle physics and cosmology is that they are both populated with a myriad of theories, and the challenge is to zero in on the right ones. In this regard, results based on symmetries are especially powerful as they allow us to test and discriminate broad classes of theories in a model-independent manner. Soft theorems which govern the behavior of scattering amplitudes or correlation functions when one or more of the momenta approach zero are a prominent example. The subject of soft theorems has a long history in particle physics, dating back to the early studies of the soft pion theorem. The equivalence between the soft photon theorem [2,3] and large gauge transformation has already been noted long ago by Ferrari and Picasso [4] (see, also, [5]), where the leading and subleading soft theorems were shown to follow from the Ward-Takahashi (WT) identity of linear transformation which survives after Lorenz gauge fixing.

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Remarks on asymptotic symmetries and the subleading soft photon theorem

Cited by 78 publications

References 48 publications

Multipole charge conservation and implications on electromagnetic radiation

Multipole charge conservation and implications on electromagnetic radiation

BMS current algebra in the context of the Newman–Penrose formalism

Infinite Set of Soft Theorems in Gauge-Gravity Theories as Ward-Takahashi Identities

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