Mellin amplitudes for fermionic conformal correlators
Mellin amplitudes for fermionic conformal correlators
We define Mellin amplitudes for the fermion-scalar four point function and the fermion four point function. The Mellin amplitude thus defined has multiple components each associated with a tensor structure. In the case of three spacetime dimensions, we explicitly show that each component factorizes on dynamical poles onto components of the Mellin amplitudes for the corresponding three point functions. The novelty here is that for a given exchanged primary, each component of the Mellin amplitude may in general have more than one series of poles. We present a few examples of Mellin amplitudes for tree-level Witten diagrams and tree-level conformal Feynman integrals with fermionic legs, which illustrate the general properties
Faller, Josua
73f32e60-a7fb-4325-93b0-5fbae90be1f9
Sarkar, Sourav
1c47716e-e409-4ea9-bee2-fca727182814
Verma, Mritunjay
eefb3825-946d-406e-9f92-c80ba123a3bb
19 March 2018
Faller, Josua
73f32e60-a7fb-4325-93b0-5fbae90be1f9
Sarkar, Sourav
1c47716e-e409-4ea9-bee2-fca727182814
Verma, Mritunjay
eefb3825-946d-406e-9f92-c80ba123a3bb
Faller, Josua, Sarkar, Sourav and Verma, Mritunjay
(2018)
Mellin amplitudes for fermionic conformal correlators.
JHEP, 2018, [106].
(doi:10.1007/JHEP03(2018)106).
Abstract
We define Mellin amplitudes for the fermion-scalar four point function and the fermion four point function. The Mellin amplitude thus defined has multiple components each associated with a tensor structure. In the case of three spacetime dimensions, we explicitly show that each component factorizes on dynamical poles onto components of the Mellin amplitudes for the corresponding three point functions. The novelty here is that for a given exchanged primary, each component of the Mellin amplitude may in general have more than one series of poles. We present a few examples of Mellin amplitudes for tree-level Witten diagrams and tree-level conformal Feynman integrals with fermionic legs, which illustrate the general properties
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Accepted/In Press date: 25 February 2018
Published date: 19 March 2018
Identifiers
Local EPrints ID: 467489
URI: http://eprints.soton.ac.uk/id/eprint/467489
ISSN: 1029-8479
PURE UUID: 83994354-3541-46b5-9f30-29ebf0846714
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Date deposited: 11 Jul 2022 16:44
Last modified: 16 Mar 2024 17:06
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Author:
Josua Faller
Author:
Sourav Sarkar
Author:
Mritunjay Verma
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