Harman Patil (Editor)

Light cone gauge

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In theoretical physics, light cone gauge is an approach to remove the ambiguities arising from a gauge symmetry. While the term refers to several situations, a null component of a field A is set to zero (or a simple function of other variables) in all cases.

Contents

Gauge theory

In gauge theory, light-cone gauge refers to the condition A + = 0 where

A + ( x 0 , x 1 , x 2 , x 3 ) = A 0 ( x 0 , x 1 , x 2 , x 3 ) + A 3 ( x 0 , x 1 , x 2 , x 3 )

It is a method to get rid of the redundancies implied by Yang–Mills symmetry.

String theory

In string theory, light-cone gauge fixes the reparameterization invariance on the world sheet by

X + ( σ , τ ) = p + τ

where p + is a constant and τ is the worldsheet time.

The advantage of light-cone gauge is that all ghosts and other unphysical degrees of freedom can be eliminated. The disadvantage is that some symmetries such as Lorentz symmetry become obscured (they become non-manifest, i.e. hard to prove).

References

Light cone gauge Wikipedia