Power series representations for complex bosonic effective actions. III. Substitution and fixed point equations
Annales de l’Institut Henri Poincaré D, Tome 6 (2019) no. 1, pp. 43-71.
Le texte intégral des articles récents est réservé aux abonnés de la revue. Consultez l'article sur le site de la revue.

In [3, 4, 5] we developed a polymer-like expansion that applies when the (effective) action in a functional integral is an analytic function of the fields being integrated. Here, we develop methods to aid the application of this technique when the method of steepest descent is used to analyze the functional integral. We develop a version of the Banach fixed point theorem that can be used to construct and control the critical fields, as analytic functions of external fields, and substitution formulae to control the change in norms that occurs when one replaces the integration fields by the sum of the critical fields and the fluctuation fields.

Accepté le :
Publié le :
DOI : 10.4171/aihpd/64
Classification : 82-XX, 81-XX
Mots-clés : Polymer-like expansion, renormalization group 
@article{AIHPD_2019__6_1_43_0,
     author = {Balaban, Tadeusz and Feldman, Joel and Kn\"orrer, Horst and Trubowitz, Eugene},
     title = {Power series representations for complex bosonic effective actions. {III.} {Substitution} and fixed point equations},
     journal = {Annales de l{\textquoteright}Institut Henri Poincar\'e D},
     pages = {43--71},
     volume = {6},
     number = {1},
     year = {2019},
     doi = {10.4171/aihpd/64},
     mrnumber = {3911689},
     zbl = {1432.82005},
     language = {en},
     url = {http://archive.numdam.org/articles/10.4171/aihpd/64/}
}
TY  - JOUR
AU  - Balaban, Tadeusz
AU  - Feldman, Joel
AU  - Knörrer, Horst
AU  - Trubowitz, Eugene
TI  - Power series representations for complex bosonic effective actions. III. Substitution and fixed point equations
JO  - Annales de l’Institut Henri Poincaré D
PY  - 2019
SP  - 43
EP  - 71
VL  - 6
IS  - 1
UR  - http://archive.numdam.org/articles/10.4171/aihpd/64/
DO  - 10.4171/aihpd/64
LA  - en
ID  - AIHPD_2019__6_1_43_0
ER  - 
%0 Journal Article
%A Balaban, Tadeusz
%A Feldman, Joel
%A Knörrer, Horst
%A Trubowitz, Eugene
%T Power series representations for complex bosonic effective actions. III. Substitution and fixed point equations
%J Annales de l’Institut Henri Poincaré D
%D 2019
%P 43-71
%V 6
%N 1
%U http://archive.numdam.org/articles/10.4171/aihpd/64/
%R 10.4171/aihpd/64
%G en
%F AIHPD_2019__6_1_43_0
Balaban, Tadeusz; Feldman, Joel; Knörrer, Horst; Trubowitz, Eugene. Power series representations for complex bosonic effective actions. III. Substitution and fixed point equations. Annales de l’Institut Henri Poincaré D, Tome 6 (2019) no. 1, pp. 43-71. doi : 10.4171/aihpd/64. http://archive.numdam.org/articles/10.4171/aihpd/64/

Cité par Sources :