TH BSM Forum

Interacting UV fixed points - from 4D quantum gauge theories to 4D quantum gravity

by Daniel Litim

4/2-011 - TH common room (CERN)

4/2-011 - TH common room


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It is commonly believed that a fundamental definition of quantum field theory requires the existence of an UV fixed point. Asymptotic freedom of QCD is the well-known example where the UV fixed point is free. In the first part of the talk, a proof of existence for interacting UV fixed points in certain 4D matter-gauge theories is given, strictly controlled by perturbation theory. It is found that all types of fields (scalars, fermions, vectors) are required for the fixed point to emerge. In the second part of the talk, we discuss the challenges for testing the existence or not of interacting UV fixed points beyond perturbation theory, including in 4D quantum gravity.