Exact solutions for fermionic Green's functions in the Bloch-Nordsieck approximation of QED

Journal Article · Fri Sep 15 00:00:00 EDT 1989 · Physical Review (Section) D: Particles and Fields; (USA)

DOI:https://doi.org/10.1103/PhysRevD.40.2103· OSTI ID:5396047

Kernemann, A; Stefanis, N G ^[1]

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1. Institut fuer Theoretische Physik II, Ruhr-Universitaet Bochum, D-4630 Bochum, Federal Republic of Germany (DE)

A set of new closed-form solutions for fermionic Green's functions in the Bloch-Nordsieck approximation of QED is presented. A manifestly covariant phase-space path-integral method is applied for calculating the {ital n}-fermion Green's function in a classical external field. In the case of one and two fermions, explicit expressions for the full Green's functions are analytically obtained, with renormalization carried out in the modified minimal subtraction scheme. The renormalization constants and the corresponding anomalous dimensions are determined. The mass-shell behavior of the two-fermion Green's function is investigated in detail. No assumptions are made concerning the structure of asymptotic states and no IR cutoff is used in the calculations.

• OSTI ID: 5396047
• Journal Information: Physical Review (Section) D: Particles and Fields; (USA), Vol. 40:6; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM ELECTRODYNAMICS
GREEN FUNCTION
COUPLING CONSTANTS
FERMIONS
PERTURBATION THEORY
PHASE SPACE
RENORMALIZATION
ULTRAVIOLET DIVERGENCES
ELECTRODYNAMICS
FIELD THEORIES
FUNCTIONS
MATHEMATICAL SPACE
QUANTUM FIELD THEORY
SPACE
645400* - High Energy Physics- Field Theory