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  One-loop beta-functions in 4-derivative gauge theory in 6 dimensions

Casarin, L., & Tseytlin, A. A. (2019). One-loop beta-functions in 4-derivative gauge theory in 6 dimensions. Journal of high energy physics: JHEP, 2019(08): 159. doi:10.1007/JHEP08(2019)159.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0004-70C0-4 Version Permalink: http://hdl.handle.net/21.11116/0000-0004-B069-F
Genre: Journal Article

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1907.02501.pdf (Preprint), 290KB
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 Creators:
Casarin, Lorenzo1, Author              
Tseytlin , Arkady A., Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: A classically scale-invariant 6d analog of the 4d Yang-Mills theory is the 4-derivative $ (\nabla F)^2 + F^3$ gauge theory with two independent couplings. Motivated by a search for a perturbatively conformal but possibly non-unitary 6d models we compute the one-loop $\beta$-functions in this theory. A systematic way of doing this using the background field method requires the expression for the $b_6$ Seeley-DeWitt coefficient for a generic 4-derivative operator. It was previously unknown and we derive it here. As an application, we also compute the one-loop $\beta$-function in the (1,0) supersymmetric $ (\nabla F)^2$ 6d gauge theory constructed in hep-th/0505082.

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 Dates: 2019-07-042019-07-152019
 Publication Status: Published in print
 Pages: 16 pages. v3: mistake in calculation of beta-functions corrected, note added about full agreement with earlier computation of J. Gracey
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 Rev. Method: -
 Identifiers: arXiv: 1907.02501
URI: http://arxiv.org/abs/1907.02501
DOI: 10.1007/JHEP08(2019)159
 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: 2019 (08) Sequence Number: 159 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: https://pure.mpg.de/cone/journals/resource/111021927548002