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

##### Fulltext (public)

1907.02501.pdf

(Preprint), 290KB

Casarin-Tseytlin2019_Article_One-loopΒ-functionsIn4-derivat.pdf

(Publisher version), 413KB

##### Supplementary Material (public)

There is no public supplementary material available

##### Citation

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.

Cite as: http://hdl.handle.net/21.11116/0000-0004-70C0-4

##### 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.