One-loop QED vertex in any covariant gauge: Its complete analytic form

Journal Article · Sat Jul 15 04:00:00 EDT 1995 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.52.1242· OSTI ID:69567

Kizilersue, A ^[1]; Reenders, M ^[2]; Pennington, M ^[1]

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1. Centre for Particle Theory, University of Durham, Durham DH1 3LE (United Kingdom)
2. Institute for Theoretical Physics, Nijenborgh 4, NL-9747 AG, Groningen (Netherlands)

The one-loop vertex in QED is calculated in arbitrary covariant gauges as an analytic function of its momenta. The vertex is decomposed into a longitudinal part, which is fully responsible for ensuring that the Ward and Ward-Takahashi identities are satisfied, and a transverse part. The transverse part is decomposed into 8 independent components each being separately free of kinematic singularities in {ital any} covariant gauge in a basis that modifies that proposed by Ball and Chiu. Analytic expressions for all 11 components of the {ital O}({alpha}) vertex are given explicitly in terms of elementary functions and one Spence function. These results greatly simplify in particular kinematic regimes.

• Sponsoring Organization: USDOE
• OSTI ID: 69567
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 2 Vol. 52; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ANALYTIC FUNCTIONS
FIELD EQUATIONS
GAUGE INVARIANCE
QUANTUM ELECTRODYNAMICS
SCHWINGER FUNCTIONAL EQUATIONS
SINGULARITY
VERTEX FUNCTIONS
WARD IDENTITY