DIAGRAMMATIC ANALYSIS OF QCD GAUGE TRANSFORMATIONS AND GAUGE CANCELLATIONS

Abstract

Diagrammatic techniques are invented to implement QCD gauge transformations. These techniques can be used to discover how gauge-dependent terms are cancelled among diagrams to yield gauge-invariant results in the sum. In this way a multiloop pinching technique can be developed to change ordinary vertices into background-gauge vertices. The techniques can also be used to design new gauges to simplify calculations by reducing the number of gauge-dependent terms present in the intermediate steps. Two examples are discussed to illustrate this aspect of the applications.

Latex, with 40 diagrams in a uuencoded postscript file. 27 pages in total.

References in corpus (5)

• Multi-Parton Amplitudes in Gauge Theories
• Worldline Green Functions for Multiloop Diagrams
• Gauge Invariance of Green Functions: Background-Field Method versus Pinch Technique
• The Background Field Method: Alternative Way of Deriving the Pinch Technique's Results
• String Organization of Field Theories: Duality and Gauge Invariance

Cited by in corpus (11)

• Pinch Technique: Theory and Applications
• The Pinch Technique to All Orders
• Generalized Pinch Technique and the Background Field Method in General Gauges
• Pinch technique self-energies and vertices to all orders in perturbation theory
• Evaluation of the CHY Gauge Amplitude
• The Pinch Technique Beyond One Loop: The Gauge-Independent Two-Loop Quark Self-Energy
• Gauge-Independent Off-Shell Fermion Self-Energies at Two Loops: The Cases of QED and QCD
• Off-Shell Yang-Mills Amplitude in the CHY Formalism
• Action Principle and Algebraic Approach to Gauge Transformations in Gauge Theories
• Gauge Invariance of Resummation Schemes: The QCD Partition Function
• Generalized Background-Field Method