Published March 19, 2018 | Version v1
Journal article

Mellin amplitudes for fermionic conformal correlators

  • 1. Institut für Physik, Humboldt-Universität zu Berlin,IRIS-Adlershof, Zum Großen Windkanal 6, 12489 Berlin (Germany)
  • 2. Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut,Am Mühlenberg 1, 14476 Potsdam (Germany)
  • 3. Institut für Mathematik, Humboldt-Universität zu Berlin,IRIS-Adlershof, Zum Großen Windkanal 6, 12489 Berlin (Germany)
  • 4. International Centre for Theoretical Sciences, TIFR,Hesaraghatta, Hubli, Bengaluru-560089 (India)
  • 5. Harish-Chandra Research Institute, HBNI,Chhatnag Road, Jhunsi, Allahabad-211019 (India)

Description

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.

Availability note (English)

Available from http://dx.doi.org/10.1007/JHEP03(2018)106; Available from http://repo.scoap3.org/record/26714

Additional details

Identifiers

Publishing Information

Journal Title
Journal of High Energy Physics (Online)
Journal Volume
2018
Journal Issue
03
Journal Page Range
p. 106
ISSN
1029-8479

INIS

Country of Publication
Germany
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
49090460
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
CONFORMAL INVARIANCE; FERMIONS; FEYNMAN PATH INTEGRAL; QUANTUM FIELD THEORY; SPACE-TIME
Descriptors DEC
FIELD THEORIES; INTEGRALS; INVARIANCE PRINCIPLES; PATH INTEGRALS

Optional Information

Copyright
Copyright (c) OPEN ACCESS, © The Authors
Notes
PUBLISHER-ID: JHEP03(2018)106; ARXIV:1711.07929; OAI: oai:repo.scoap3.org:26714
Funding organization
SCOAP3, CERN, Geneva (Switzerland)