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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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1907.02501.pdf (Preprint), 290KB
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Casarin-Tseytlin2019_Article_One-loopΒ-functionsIn4-derivat.pdf (Publisher version), 413KB
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Creators:
Casarin, Lorenzo1, Author
Affiliations:
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