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  Exploring Perturbative Conformal Field Theory in Mellin space

Nizami, A. A., Rudra, A., Sarkar, S., & Verma, M. (2017). Exploring Perturbative Conformal Field Theory in Mellin space. Journal of high energy physics: JHEP, 2017(01): 102. doi:10.1007/JHEP01(2017)102.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002B-5FB2-A Version Permalink: http://hdl.handle.net/21.11116/0000-0002-F961-8
Genre: Journal Article

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 Creators:
Nizami, Amin A., Author
Rudra, Arnab, Author
Sarkar, Sourav1, Author
Verma, Mritunjay, Author
Affiliations:
1AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24008              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: We explore the Mellin representation of correlation functions in conformal field theories in the weak coupling regime. We provide a complete proof for a set of Feynman rules to write the Mellin amplitude for a general tree level Feynman diagram involving only scalar operators. We find a factorised form involving beta functions associated to the propagators, similar to tree level Feynman rules in momentum space for ordinary QFTs. We also briefly consider the case where a generic scalar perturbation of the free CFT breaks conformal invariance. Mellin space still has some utility and one can consider non-conformal Mellin representations. In this context, we find that the beta function corresponding to conformal propagator uplifts to a hypergeometric function.

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 Dates: 2016-07-252017
 Publication Status: Published in print
 Pages: 47 pages, 15 figures
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1607.07334
URI: http://arxiv.org/abs/1607.07334
DOI: 10.1007/JHEP01(2017)102
 Degree: -

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Title: Journal of high energy physics : JHEP
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2017 (01) Sequence Number: 102 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: /journals/resource/111021927548002