20–25 Aug 2023
Universität Hamburg
Europe/Berlin timezone

One-loop RG-flow for adjoint multi-scalar gauge theory

25 Aug 2023, 09:50
20m
Hörsaal H (Historic main building)

Hörsaal H

Historic main building

Edmund-Siemers-Allee 1
Parallel session talk Quantum Field and String Theory T11 Quantum Field and String Theory

Speaker

Nadia Flodgren (Stockholm University, Oscar Klein Center)

Description

We study the one loop renormalisation of 4d SU(N) Yang-Mills theory with M adjoint representation scalar multiplets. We calculate the coupled one-loop renormalization group flows for this theory by developing an algebraic description, which we find to be characterised by a non-associative algebra of marginal couplings. The 4d one loop beta function of the gauge coupling $g^2$ vanishes for the case M = 22, which is intriguing for string theory. There are real fixed flows (fixed points of $λ/g^2$) only for $M \geq 406$, rendering one-loop fixed points of the gauge coupling and scalar couplings incompatible.

Collaboration / Activity Theory

Primary author

Nadia Flodgren (Stockholm University, Oscar Klein Center)

Co-author

Prof. Bo Sundborg (Stockholm University, Oscar Klein Center)

Presentation materials