Non-perturbative λΦ4 in D=1+1: an example of the constructive quantum field theory approach in a schematic way

 

Autores
Gueron, Jorge; Leston, Mauricio
Tipo de recurso
artículo
Estado
Versión publicada
Año de publicación
2013
País
Argentina
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio
CONICET Digital (CONICET)
Descripción
During the '70, several relativistic quantum field theory models in D = 1 + 1 and also in D = 2 + 1 have been constructed in a non-perturbative way. That was done in the so-called constructive quantum field theory approach, whose main results have been obtained by a clever use of Euclidean functional methods. Although in the construction of a single model there are several technical steps, some of them involving long proofs, the constructive quantum field theory approach contains conceptual insights about relativistic quantum field theory that deserved to be known and which are accessible without entering in technical details. The purpose of this note is to illustrate such insights by providing an oversimplified schematic exposition of the simple case of lambda(Phi)4 (with m > 0) in D = 1 + 1. Because of the absence of ultraviolet divergences in its perturbative version, this simple example , although does not capture all the difficulties in the constructive quantum field theory approach, allows to stress those difficulties inherent to the non-perturbative definition. We have made an effort in order to avoid several of the long technical intermediate steps without missing the main ideas and making contact with the usual language of the perturbative approach.
Idioma
inglés
OAI Identifier
oai:ri.conicet.gov.ar:11336/17036
Enlace del recurso
http://hdl.handle.net/11336/17036
Nivel de acceso
Acceso abierto
Materia
FIELD THEORIES IN LOWER DIMENSIONS
NON PERTURBATIVES EFFECTS
Física de Partículas y Campos
Ciencias Físicas
CIENCIAS NATURALES Y EXACTAS