Angular momentum of zero-frequency gravitons

Di Vecchia, PaoloStockholms universitet,KTH,Nordic Institute for Theoretical Physics NORDITA,The Niels Bohr Institute, Blegdamsvej 17, Copenhagen, DK-2100, Denmark; Stockholm University, Hannes Alfvéns väg 12, Stockholm, SE-11419, Sweden,Nordiska institutet för teoretisk fysik (Nordita),Niels Bohr Inst, Blegdamsvej 17, DK-2100 Copenhagen, Denmark.;KTH Royal Inst Technol, NORDITA, Hannes Alfvens Vag 12, SE-11419 Stockholm, Sweden.;Stockholm Univ, Hannes Alfvens Vag 12, SE-11419 Stockholm, Sweden. (författare)

QC 20220909
By following closely Weinberg's soft theorem, which captures the 1/omega pole contribution to the amplitude for soft graviton emissions (omega < Lambda on top of an arbitrary background hard process, we calculate the expectation value of the graviton's angular momentum operator for arbitrary collisions dressed with soft radiation. We find that the result becomes independent of the cutoff Lambda on the graviton's frequency, effectively localizing at omega = 0. In this way, our result captures the contribution to the angular momentum that comes from the zero-frequency modes. Like the soft theorem, our formula has an exact dependence on the kinematics of the hard particles and is only a function of their momenta. As an example, we discuss in some detail the case of the 2 -> 2 scattering of spinless particles in General Relativity and N = 8 supergravity.

Heissenberg, CarloUppsala universitet,Stockholms universitet,Nordiska institutet för teoretisk fysik (Nordita),Uppsala University, Sweden,KTH Royal Inst Technol, NORDITA, Stockholm, Sweden.;Stockholm Univ, Hannes Alfvens Vag 12, SE-11419 Stockholm, Sweden.,Teoretisk fysik(Swepub:uu)carhe818 (författare)
Russo, RodolfoQueen Mary Univ London, Ctr Theoret Phys, Dept Phys & Astron, Mile End Rd, London E1 4NS, England. (författare)
KTHNordic Institute for Theoretical Physics NORDITA (creator_code:org_t)

Ingår i:Journal of High Energy Physics (JHEP): Springer Nature:81126-67081029-8479

Av författaren/redakt...: Di Vecchia, Paol ...; Heissenberg, Car ...; Russo, Rodolfo

Om ämnet

Av lärosätet: Kungliga Tekniska Högskolan; Stockholms universitet; Uppsala universitet

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