Aspects of self-consistency in the Dyson-Schwinger approach to QED and {lambda}({phi}*{phi}){sup 2} theories

Journal Article · Mon Nov 01 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.094023· OSTI ID:21503798

Casalbuoni, Roberto ^[1]; Ladisa, Massimo; Olevano, Valerio ^[2]

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1. Department of Physics, University of Florence and INFN, I-50019 Sesto F., Firenze (Italy)
2. Institut Neel, CNRS and UJF, 25 rue des Martyrs, BP 166, F-38042 Grenoble cedex 9 (France)

We investigate some aspects of the self-consistency in the Dyson-Schwinger approach to both the QED and the self-interacting scalar field theories. We prove that the set of the Dyson-Schwinger equations, together with the Green-Ward-Takahashi identity, is equivalent to the analogous set of integral equations studied in condensed matter, namely, many-body perturbation theory, where it is solved self-consistently and iteratively. In this framework, we compute the nonperturbative solution of the gap equation for the self-interacting scalar field theory.

• OSTI ID: 21503798
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 9; Other Information: DOI: 10.1103/PhysRevD.82.094023; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
MANY-BODY PROBLEM
MATHEMATICAL SOLUTIONS
PERTURBATION THEORY
QUANTUM ELECTRODYNAMICS
SCALAR FIELDS
ELECTRODYNAMICS
FIELD THEORIES
QUANTUM FIELD THEORY