We interpret the results of the preceding paper (I) in terms of partial resummations of the perturbative series for the effective interaction. As an application we sketch how our resummation method leads to a simple summation rule leading to a convergent expansion for the Schwinger functions of the planar $\varphi^4_4$-theory.

Renormalization Theory for four dimensional scalar fields, II / Gallavotti, Giovanni; F., Nicolo`. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - STAMPA. - 101:(1985), pp. 247-282. [10.1007/BF01218761]

Renormalization Theory for four dimensional scalar fields, II

GALLAVOTTI, Giovanni;
1985

Abstract

We interpret the results of the preceding paper (I) in terms of partial resummations of the perturbative series for the effective interaction. As an application we sketch how our resummation method leads to a simple summation rule leading to a convergent expansion for the Schwinger functions of the planar $\varphi^4_4$-theory.
1985
Renormalization group; 4D scalar field theory; Quantum field theory; Schwinger functions N! bounds; Resummations and Feynman graphs
01 Pubblicazione su rivista::01a Articolo in rivista
Renormalization Theory for four dimensional scalar fields, II / Gallavotti, Giovanni; F., Nicolo`. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - STAMPA. - 101:(1985), pp. 247-282. [10.1007/BF01218761]
File allegati a questo prodotto
Non ci sono file associati a questo prodotto.

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/11573/382862
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 30
  • ???jsp.display-item.citation.isi??? 43
social impact