QCD Ward Identity in Axial Gauge

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SUMMARY

The discussion focuses on the derivation of QCD Ward identities in the axial gauge, highlighting the introduction of a \xi term, specifically -\frac{1}{2\xi} (n.A)^2. The axial gauge gluon propagator is analyzed for general values of \xi, with particular emphasis on the unitary limit as \xi approaches 0. It is established that the graphical Ward identities in the axial gauge are similar to those in the covariant gauge, albeit with a reduction in the number of diagrams for external gluon lines due to the decoupling of ghosts.

PREREQUISITES
  • Understanding of QCD (Quantum Chromodynamics)
  • Familiarity with BRST symmetry
  • Knowledge of axial gauge and its implications
  • Experience with gluon propagators and diagrammatic techniques
NEXT STEPS
  • Study the derivation of BRST symmetry in covariant gauge
  • Research the implications of the unitary limit in axial gauge
  • Explore graphical techniques in quantum field theory
  • Learn about the role of ghost fields in gauge theories
USEFUL FOR

The discussion is beneficial for theoretical physicists, particularly those specializing in quantum field theory, gauge theories, and QCD, as well as researchers interested in the axial gauge approach to Ward identities.

petergreat
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How do (offshell) QCD ward identities look like in the axial gauge? How to derive them? The standard treatment of ward identities uses BRST symmetry in the covariant gauge. I don't know where I can read about the axial gauge version of the ward identities.
 
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I figured out myself. One had to introduce a \xi term -\frac 1 {2\xi} (n.A)^2 and work out the axial gauge gluon propagator for general values of \xi, even though we're only interested in the unitary limit \xi\rightarrow 0. The graphical ward identities are almost the same as the counterpart in the covariant gauge, except that now we have only half as many diagrams for external gluon lines since ghosts have decoupled.
 

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