Off-Shell Green Functions: One-Loop with Growing Legs

One loop calculations in gauge theories in arbitrary gauge and dimensions become exceedingly hard with growing number of external off-shell legs. Let alone higher point functions, such a calculation for even the three point one-loop vertices for quantum electrodynamics (QED) and quantum chromodynami...

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Bibliographic Details
Main Authors: Bashir, A, Concha-Sanchez, Y, Delbourgo, R, Tejeda-Yeomans, M E
Format: Conference Proceeding
Language:English
Subjects:
CALCULATION METHODS
ELECTRON-PROTON INTERACTIONS
FEYNMAN DIAGRAM
GAUGE INVARIANCE
GREEN FUNCTION
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM CHROMODYNAMICS
QUANTUM ELECTRODYNAMICS
SCALARS
WARD IDENTITY
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Summary:One loop calculations in gauge theories in arbitrary gauge and dimensions become exceedingly hard with growing number of external off-shell legs. Let alone higher point functions, such a calculation for even the three point one-loop vertices for quantum electrodynamics (QED) and quantum chromodynamics (QCD) has been made available only recently. In this article, we discuss how Ward-Fradkin-Green-Takahashi identities (WFGTI) may provide a helpful tool in these computations. After providing a glimpse of our suggestion for the case of the 3-point vertex, we present our preliminary findings towards our similar efforts for the 4-point function. We restrict ourselves to the example of scalar quantum electrodynamics (SQED).
ISSN:0094-243X
1551-7616
DOI:10.1063/1.2965034