English

User Manual Privacy Policy Disclaimer Contact us

# Item

ITEM ACTIONSEXPORT

Released

Journal Article

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

##### MPS-Authors
/persons/resource/persons226447

Casarin,  Lorenzo
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

##### Locator
There are no locators available
##### 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.