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SUMMARY:Gradient Properties of RG Flows - Andy Stergiou\, King's College L
 ondon
DTSTART:20240523T120000Z
DTEND:20240523T130000Z
UID:TALK215740@talks.cam.ac.uk
CONTACT:Jackson Fliss
DESCRIPTION:General properties of the renormalisation group (RG) are of im
 mense theoretical interest\, as they have implications for the evolution o
 f physical systems from high to low energies. In a perturbative setting\, 
 RG flows are determined by a vector field\, the beta function\, that can b
 e computed in a loop expansion. In this talk we will discuss the gradient 
 property of the RG up to six loops in multi-scalar models in d=4 and d=4-
 ε dimensions. After elucidating a variety of subtleties\, we will derive 
 and discuss highly nontrivial constraints that need to be satisfied for th
 e RG flow to be gradient.
LOCATION:Potter Room (B1.19)
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