Conformal structure of massless scalar amplitudes beyond tree level
A bstract We show that the one-loop on-shell four-point scattering amplitude of massless ϕ 4 scalar field theory in 4D Minkowski space time, when Mellin transformed to the Celestial sphere at infinity, transforms covariantly under the global conformal group (SL(2, ℂ)) on the sphere. The unitarity of...
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| Published in | The journal of high energy physics Vol. 2018; no. 4; pp. 1 - 15 |
|---|---|
| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.04.2018
Springer Nature B.V SpringerOpen |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1029-8479 1029-8479 |
| DOI | 10.1007/JHEP04(2018)039 |
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| Abstract | A
bstract
We show that the one-loop on-shell four-point scattering amplitude of massless
ϕ
4
scalar field theory in 4D Minkowski space time, when Mellin transformed to the Celestial sphere at infinity, transforms covariantly under the global conformal group (SL(2, ℂ)) on the sphere. The unitarity of the four-point scalar amplitudes is recast into this Mellin basis. We show that the same conformal structure also appears for the two-loop Mellin amplitude. Finally we comment on some universal structure for all loop four-point Mellin amplitudes specific to this theory. |
|---|---|
| AbstractList | A
bstract
We show that the one-loop on-shell four-point scattering amplitude of massless
ϕ
4
scalar field theory in 4D Minkowski space time, when Mellin transformed to the Celestial sphere at infinity, transforms covariantly under the global conformal group (SL(2, ℂ)) on the sphere. The unitarity of the four-point scalar amplitudes is recast into this Mellin basis. We show that the same conformal structure also appears for the two-loop Mellin amplitude. Finally we comment on some universal structure for all loop four-point Mellin amplitudes specific to this theory. Abstract We show that the one-loop on-shell four-point scattering amplitude of massless ϕ 4 scalar field theory in 4D Minkowski space time, when Mellin transformed to the Celestial sphere at infinity, transforms covariantly under the global conformal group (SL(2, ℂ)) on the sphere. The unitarity of the four-point scalar amplitudes is recast into this Mellin basis. We show that the same conformal structure also appears for the two-loop Mellin amplitude. Finally we comment on some universal structure for all loop four-point Mellin amplitudes specific to this theory. We show that the one-loop on-shell four-point scattering amplitude of massless ϕ4 scalar field theory in 4D Minkowski space time, when Mellin transformed to the Celestial sphere at infinity, transforms covariantly under the global conformal group (SL(2, ℂ)) on the sphere. The unitarity of the four-point scalar amplitudes is recast into this Mellin basis. We show that the same conformal structure also appears for the two-loop Mellin amplitude. Finally we comment on some universal structure for all loop four-point Mellin amplitudes specific to this theory. We show that the one-loop on-shell four-point scattering amplitude of massless ϕ 4 scalar field theory in 4D Minkowski space time, when Mellin transformed to the Celestial sphere at infinity, transforms covariantly under the global conformal group (SL(2, ℂ)) on the sphere. The unitarity of the four-point scalar amplitudes is recast into this Mellin basis. We show that the same conformal structure also appears for the two-loop Mellin amplitude. Finally we comment on some universal structure for all loop four-point Mellin amplitudes specific to this theory. |
| ArticleNumber | 39 |
| Author | Banerjee, Nabamita Jain, Sachin Banerjee, Shamik Bhatkar, Sayali Atul |
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| Cites_doi | 10.1007/JHEP08(2017)133 10.1007/JHEP07(2014)151 10.1007/JHEP05(2017)144 10.1007/JHEP08(2014)058 10.1007/JHEP12(2014)115 10.1007/JHEP05(2017)161 10.2307/1968455 10.1007/JHEP01(2017)112 10.1103/PhysRevLett.105.111103 10.1103/PhysRevD.96.065026 10.1103/PhysRevD.96.065022 10.1103/PhysRevD.90.085015 10.1103/PhysRevLett.119.121601 10.1103/PhysRevD.92.065022 10.1103/PhysRevD.90.084035 10.1103/PhysRevD.96.085006 |
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bstract
We show that the one-loop on-shell four-point scattering amplitude of massless
ϕ
4
scalar field theory in 4D Minkowski space time, when Mellin... We show that the one-loop on-shell four-point scattering amplitude of massless ϕ 4 scalar field theory in 4D Minkowski space time, when Mellin transformed to... We show that the one-loop on-shell four-point scattering amplitude of massless ϕ4 scalar field theory in 4D Minkowski space time, when Mellin transformed to... Abstract We show that the one-loop on-shell four-point scattering amplitude of massless ϕ 4 scalar field theory in 4D Minkowski space time, when Mellin... |
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| SubjectTerms | Amplitudes Celestial sphere Classical and Quantum Gravitation Conformal Field Theory Elementary Particles Field theory Global Symmetries High energy physics Minkowski space Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory Scattering amplitude Scattering Amplitudes String Theory |
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| Title | Conformal structure of massless scalar amplitudes beyond tree level |
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