Proof of the Classical Soft Graviton Theorem in D=4

Saha, Arnab Priya; Sahoo, Biswajit; Sen, Ashoke

doi:10.48550/arxiv.1912.06413

Cited by 6 publications

(20 citation statements)

References 74 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Here we wish to emphasise that these modes are not expected to give rise to memory effects as they do not contribute to ∆A σ . In particular the 'quantum' 1 u -mode present in (22) does not contribute to the tail memory effect discussed in [29,30]. It should also be noted that this 1 u -mode appears at O(e) and is not related to the long range electromagnetic interaction.…”

Section: Radiative Field With Feynman Propagatormentioning

confidence: 86%

“…On the same lines, let us check if the 1 ur -term is related to discontinuity in subleading soft insertion. We will extend the calculation of the previous subsection to subleading order, so we start with the second term in (30). We do not write the leading order term to avoid clutter.…”

Section: The 1 Ur Mode In a σmentioning

confidence: 99%

“…Let us check if the log u u -term is related to discontinuity in loop level subleading soft mode of the quantum gauge field. We need to start with the second term in (30). We do not write the leading order term in (30) to avoid clutter.…”

Section: The Log U Ur Mode In a σmentioning

confidence: 99%

“…We need to start with the second term in (30). We do not write the leading order term in (30) to avoid clutter.…”

Section: The Log U Ur Mode In a σmentioning

confidence: 99%

“…The Θ(u) u term gives rise to the tail memory effect discussed in [29,30]. Here we are interested in the log u u mode.…”

Section: Hence We Getmentioning

confidence: 99%

See 4 more Smart Citations

Asymptotic conservation law with Feynman boundary condition

Bhatkar

2021

Preprint

View full text Add to dashboard Cite

Recently it was shown that classical electromagnetism admits new asymptotic conservation laws [21]. In this paper we derive the analogue of the first of these asymptotic conservation laws upon imposing Feynman boundary condition on the radiative field. We also show that the Feynman solution at O(e 3 ) contains purely imaginary modes falling off as { log u u n r , n ≥ 0} which are absent in the classical radiative solution. The log u mode has also appeared in [22,23] and violates the Ashtekar-Struebel fall offs for the radiative field [24]. We expect that new (log u) m u m r -modes would appear in the Feynman solution at order O(e 2m+1 ). Thus, all the other modes are expected to preserve the Ashtekar-Struebel fall offs.

show abstract

Section: Radiative Field With Feynman Propagatormentioning

confidence: 86%

Section: The 1 Ur Mode In a σmentioning

confidence: 99%

Section: The Log U Ur Mode In a σmentioning

confidence: 99%

“…We need to start with the second term in (30). We do not write the leading order term in (30) to avoid clutter.…”

Section: The Log U Ur Mode In a σmentioning

confidence: 99%

“…The Θ(u) u term gives rise to the tail memory effect discussed in [29,30]. Here we are interested in the log u u mode.…”

Section: Hence We Getmentioning

confidence: 99%

See 3 more Smart Citations

Asymptotic conservation law with Feynman boundary condition

Bhatkar

2021

Preprint

View full text Add to dashboard Cite

show abstract

Ward identity for loop level soft photon theorem for massless QED coupled to gravity

Bhatkar¹

2019

Preprint

View full text Add to dashboard Cite

We study the loop level asymptotic conservation law proposed by Campiglia and Laddha [1] for massless scalar QED in presence of dynamical gravity. We show that the equivalence between the loop level Ward identity and the Sahoo-Sen soft photon theorem [2] continues to hold. In presence of gravity, the new feature is that photons also acquire a dressing due to long range gravitational force and contribute to the charge. Similar to the massive case, the terms in the asymptotic charge are directly related to the dressing of scalars and photons due to long range forces.

show abstract

New Asymptotic Conservation laws for Electromagnetism

Bhatkar

2020

Preprint

View full text Add to dashboard Cite

We study the subleading tail to the memory term in the late time electromagnetic radiative field generated due to a generic scattering of charged bodies. The universal nature of this term hints that it is tied to a soft theorem. We show that there exists an O(e 5 ) asymptotic conservation law related to the subleading tail term. This shows that the subleading tail arises from classical limit of a 2-loop soft photon theorem. Building on the m = 1 [29, 30] and m = 2 cases, we propose existence of an O(e 2m+1 ) conservation law for every m which would imply a hierarchy of an infinite number of m-loop soft theorems. We also predict the structure of the m th order tail to the memory term that is tied to the corresponding classical soft theorem. We verify above proposals for m = 3.

show abstract

Proof of the Classical Soft Graviton Theorem in D=4

Cited by 6 publications

References 74 publications

Asymptotic conservation law with Feynman boundary condition

Asymptotic conservation law with Feynman boundary condition

Ward identity for loop level soft photon theorem for massless QED coupled to gravity

New Asymptotic Conservation laws for Electromagnetism

Contact Info

Product

Resources

About