Work

Renormalized Schwinger–Dyson functional

Year: 2021

Type: article

Abstract: We consider the perturbative renormalization of the Schwinger–Dyson functional, which is the generating functional of the expectation values of the products of the composite operator given by the field derivative of the action. It is argued that this functional plays an important role in the topological Chern–Simons and BF quantum field theories. It is shown that, by means of the renormalized perturbation theory, a canonical renormalization procedure for the Schwinger–Dyson functional is obtained. The combinatoric structure of the Feynman diagrams is illustrated in the case of scalar models. For the Chern–Simons and the BF gauge theories, the relationship between the renormalized Schwinger–Dyson functional and the generating functional of the correlation functions of the gauge fields is produced.

Source: The European Physical Journal C

DOI: 10.1140/epjc/s10052-021-08868-5

Authors: Enore Guadagnini, Vittoria Urso

Institutions: University of Pisa, Istituto Nazionale di Fisica Nucleare, Sezione di Pisa, University of Salento

Language: English

Topic: Quantum and Classical Electrodynamics

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W3126907257

FWCI:

Cites: 33

Cited by: 1

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