Daniel Litim “Interacting UV fixed points – from 4D quantum gauge theories to 4D quantum gravitation” (U. of Sussex) (String Seminars)

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Abstract:
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 a well-known example where the UV fixed point
is non-interacting. In this talk, I will provide an exact proof of existence
for interacting UV fixed points in certain 4D matter-gauge theories,
strictly controlled by perturbation theory. In particular, it is found that
all types of fields (scalars, fermions, vectors) are required for the UV
fixed point to emerge. Interacting UV fixed points may also exist beyond
perturbation theory. Here, I discuss results and challenges for
4D quantum gravity to display an interacting UV fixed point.