The transformations of non-abelian gauge fields under translations

2000/06/06 by Bernd A. Berg, Berg, Bernd A.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0006045

References to work by Jackiw and others are added

arxiv created 2000/06/16 · arxiv updated 2009/11/30

Abstract

I consider infinitesimal translations x'^α=x^α+δx^α and demand that Noether's approach gives a symmetric energy-momentum tensor as it is required for gravitational sources. This argument determines the transformations of non-abelian gauge fields under infinitesimal translations to differ from the usually assumed invariance by the gauge transformation, A'^a_γ (x') - A^a_γ(x) = ∂_γ [ δx_β A^{a β}(x)] + C^a_bc δx_β A^{c β}(x) A^b_γ(x) where the C^a_bc are the structure constants of the gauge group.

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