We discuss the possibility to define exact RG equations for a UV regulated Wilsonian action based on a proper time (PT) regulator function. We start from a functional mapping which shows how each particular flow equation (and RG scheme) is associated to infinitely many scale dependent field redefinitions, which are related to specific coarse-graining procedures. On specializing to a sub-family of one parameter PT regulators we briefly analyze few results for the Ising Universality class in three dimensions, obtained within a second order truncation in the derivative expansion of the Wilsonian action.

On exact proper time Wilsonian RG flows / Bonanno, A.; Lippoldt, S.; Percacci, R.; Vacca, G. P.. - In: THE EUROPEAN PHYSICAL JOURNAL. C, PARTICLES AND FIELDS. - ISSN 1434-6044. - 80:3(2020), pp. 1-9. [10.1140/epjc/s10052-020-7798-9]

On exact proper time Wilsonian RG flows

Bonanno A.;Percacci R.;
2020-01-01

Abstract

We discuss the possibility to define exact RG equations for a UV regulated Wilsonian action based on a proper time (PT) regulator function. We start from a functional mapping which shows how each particular flow equation (and RG scheme) is associated to infinitely many scale dependent field redefinitions, which are related to specific coarse-graining procedures. On specializing to a sub-family of one parameter PT regulators we briefly analyze few results for the Ising Universality class in three dimensions, obtained within a second order truncation in the derivative expansion of the Wilsonian action.
2020
80
3
1
9
249
http://arxiv.org/abs/1912.08135v2
Bonanno, A.; Lippoldt, S.; Percacci, R.; Vacca, G. P.
File in questo prodotto:
File Dimensione Formato  
bonanno_lippoldt_vacca_propertime.pdf

accesso aperto

Descrizione: Open Access
Tipologia: Versione Editoriale (PDF)
Licenza: Creative commons
Dimensione 324.03 kB
Formato Adobe PDF
324.03 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/110764
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 5
  • ???jsp.display-item.citation.isi??? 5
social impact