Worldline calculation of the three-gluon vertex

Journal Article · Tue Oct 23 00:00:00 EDT 2012 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4763517· OSTI ID:22075667

Ahmadiniaz, N; Schubert, C ^[1]

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1. Dipartimento di Fisica, Universita di Bologna and INFN Sezione di Bologna Via Irnerio 46, I-40126 Bologna (Italy)

The three-gluon vertex is a basic object of interest in nonabelian gauge theory. At the one-loop level, it has been calculated and analyzed by a number of authors. Here we use the worldline formalism to unify the calculations of the scalar, spinor and gluon loop contributions to the one-loop vertex, leading to an extremely compact representation in terms of field strength tensors. We verify its equivalence with previously obtained representations, and explain the relation of its structure to the low-energy effective action. The sum rule found by Binger and Brodsky for the scalar, spinor and gluon loop contributions in the present approach relates to worldline supersymmetry.

• OSTI ID: 22075667
• Journal Information: AIP Conference Proceedings, Vol. 1492, Issue 1; Conference: QCD-WORK 2012: International workshop on quantum chromodynamics: Theory and experiment, Lecce (Italy), 18-21 Jun 2012; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ACTION INTEGRAL
FEYNMAN DIAGRAM
GAUGE INVARIANCE
GLUONS
QUANTUM FIELD THEORY
SCALARS
SUM RULES
SUPERSYMMETRY
TENSORS