Physical Math Seminar: Beta function without UV divergences

Speaker: Maxim Gritskov (Skolkovo Institute of Science and Technology; Saint Petersburg State University)

Time: 2026-03-11 14:00-16:00
Location: 710, SIMIS
Zoom meeting ID: 890 4476 1655 Password: SIMIS

摘要：

I will talk about the beta function in the functorial formulation of two-dimensional quantum field theories (FQFT). A key feature of this approach is the absence of ultraviolet divergences. We show that, nevertheless, in the FQFT perturbation theory, the local observables of deformed theories acquire logarithmic dimension, leading to a conformal anomaly. The beta function arises in the functorial approach as an infinitesimal transformation of the partition function under the variation of the metric’s conformal factor, without ultraviolet divergences, UV cutoff, or the traditional renormalization procedure.