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[Somogyi Gábor <somogyi.gabor AT wigner.hu>]

Wigner FK RMI Elméleti Osztály Szemináriuma
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      László András
      (HUN-REN Wigner RCP)
      

"On the running and the UV limit of Wilsonian renormalization group flows”


címmel tartandó szemináriumára.


Kivonat:



In this talk we describe a recent result [Class.Quant.Grav.41(2024)125009] 
which states that, under mild conditions, a Wilsonian renormalization group 
(RG) flow of Feynman correlators, which extends to arbitrary regularization 
strengths, has a factorization property. Namely, there exists a 
regularization-independent distributional Feynman correlator (UV limit), from 
which the flow originates via an algebric ansatz. In addition, we will 
mention a newer development, stating the analogy of the above theorem in the 
context of Euclidean Feynman measures. Namely, under mild conditions, a 
Wilsonian RG flow of Feynman measures extending to arbitrary regularization 
strenghts has a factorization property: there exists some ultimate Feynman 
measure (UV limit) on the distributional fields, such that the regularized 
instances in the flow are obtained from this UV limit via taking the marginal 
measure against the regulator. Some theorems about the flow and UV limit of 
the corresponding action functional can also be stated.



Helye: Wigner FK RMI III. ép. Tanácsterem
Ideje: 2024 szeptember 20. péntek d.u. 14 óra

Szívesen látunk minden érdeklődőt.


                 Somogyi Gábor