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/26714Additional details
Identifiers
- DOI
- 10.1007/JHEP03(2018)106;
- arXiv
- arXiv:1711.07929;
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)