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Gluon Propagators

Renwick James Hudspith edited this page Sep 28, 2016 · 5 revisions

GLU supports several gluon propagator calculations.


Momentum Space Gluon Propagators

A gluon propagator in momentum space is defined as

Landau gauge

In Landau gauge $\mu,\nu$ run in all ND-dimensions. Generically the propagator has Longitudinal and Transverse components,

We can define projectors for the transverse and longitudinal components,

Because of the Landau condition in momentum space, the longitudinal component is zero as is the second term in the transverse component, so this expression just leaves a Kronecker delta.

We write out the transverse component in Big Endian binary format.

Coulomb gauge

Coulomb gauge propagators are different. I use indices i and j to define indices running only in the spatial directions. The Coulomb condition is simply,

We can define both spatial and temporal propagators


Configuration Space Gluon Propagators

Defining the configuration space gluon correlator via the momentum space convolution,

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