Year: 2025
Type: article
Abstract: A bstract The metric and potential associated with the gradient property of renormalisation group flow in multiscalar models in d = 4 − ε dimensions are studied. The metric is identified with the Zamolodchikov metric of nearly marginal operators on the sphere. An explicit form for the associated Ricci scalar in d = 4 − ε is derived, which shows that the space of multiscalar field theories is curved. The potential is identified with a quantity $$ \overset{\sim }{F} $$ F ~ that was previously proposed as a weakly monotonic function interpolating between the a -theorem in four dimensions and the F -theorem in three dimensions. This implies that the $$ \overset{\sim }{F} $$ F ~ -theorem can be extended perturbatively to a theorem about gradient flow in d = 4 − ε .
Source: Journal of High Energy Physics
Authors: William H. Pannell, Andreas Stergiou
Institution: King's College London
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4414226792