Light cone gauge

In gauge theory, light-cone gauge refers to the condition ${\displaystyle A^{+}=0}$ where

${\displaystyle A^{+}(x^{0},x^{1},x^{2},x^{3})=A^{0}(x^{0},x^{1},x^{2},x^{3})+A^{3}(x^{0},x^{1},x^{2},x^{3})}$

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

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

${\displaystyle X^{+}(\sigma ,\tau )=p^{+}\tau }$

where ${\displaystyle p^{+}}$ is a constant and ${\displaystyle \tau }$ 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).

• light cone coordinates