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- Types of event
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- Venue
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Bachstraße 18, SR 042 Bachstraße 18k
07743 Jena
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- Andras Laszlo
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- English
- Wheelchair access
- No
- Public
- No
Andras Laszlo (Budapest)
Title: Existence theorem on the UV limit of Wilsonian renormalization group flows
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This talk takes place in Bachstraße 18!
Abstract:
In Euclidean signature, we show that under mild conditions a nonterminating a 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 by the regulators. In addition, one can state certain absolute continuity properties of the UV limit. If the flow is described by a family of reference free Gaussian measures and running potentials, it is shown that the parameters of the reference Gaussian cannot run. In arbitrary signature, an analogy of the measure existence theorem can be proved, for the Wilsonian RG flow of formal moments (correlators).
Joint work with Zsigmond Tarcsay and Jobst Ziebell [Class.Quant.Grav.41(2024)125009 and arXiv:2502.16319].