Background field method: Alternative way of deriving the pinch technique's results

Journal Article · Thu Dec 01 00:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.7066· OSTI ID:6942345

Hashimoto, S; Kodaira, J; Yasui, Y ^[1]; Sasaki, K ^[2]

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1. Department of Physics, Hiroshima University, Higashi-Hiroshima 724 (Japan)
2. Department of Physics, Yokohama National University, Yokohama 240 (Japan)

We show that the background field method (BFM) is a simple way of deriving the same gauge-invariant results which are obtained by the pinch technique (PT). For illustration we construct gauge-invariant self-energy and three-point vertices for gluons at the one-loop level by the BFM and demonstrate that we get the same results which were derived via the PT. We also calculate the four-gluon vertex in the BFM and show that this vertex obeys the same Ward identity that was found with the PT.

• OSTI ID: 6942345
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 50:11; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
GLUONS
SELF-ENERGY
MEAN-FIELD THEORY
PINCH EFFECT
GAUGE INVARIANCE
GREEN FUNCTION
LAGRANGIAN FUNCTION
PROPAGATOR
VERTEX FUNCTIONS
WARD IDENTITY
BOSONS
ELEMENTARY PARTICLES
ENERGY
FUNCTIONS
INVARIANCE PRINCIPLES
POSTULATED PARTICLES
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
662120 - General Theory of Particles & Fields- Symmetry
Conservation Laws
Currents & Their Properties- (1992-)
662230 - Quantum Chromodynamics- (1992-)