Speaker
Description
In Euclidean signature, we show that under mild conditions a nonterminating Wilsonian renormalization group (RG) flow of Feynman measures has a factorization property: there exists a regularization-independent ultimate Feynman measure (UV limit), from which the flow originates via pushforward (marginal) by the regulators. In addition, we prove certain existence theorems on the UV limit interaction potentials. We also show that whenever a (possibly effective) Wilsonian flow is described by a family of reference free Gaussian measures modified by a family of running interaction potentials, then the parameters of the reference Gaussian measure cannot run: a possible running mass or field renormalization factor must be present rather in the running potential. In arbitrary signature, an analogy of the measure existence theorem will be stated, for the Wilsonian RG flow of formal moments (correlators). Joint work with Zsigmond Tarcsay and Jobst Ziebell [Class.Quant.Grav.41(2024)125009 and J.Phys.A59(2026)035401].
| Affiliation | HUN-REN Wigner Research Centre for Physics, Budapest |
|---|---|
| Link to paper | https://doi.org/10.1088/1751-8121/ae36d6 and https://doi.org/10.1088/1361-6382/ad4a1a |
| Career status | Senior |