$k^{+}=0$ Modes in Light-Cone Quantization

Abstract

We investigate the light-cone quantization of ${\varphi }^3$ theory in 1+1 dimensions with a regularization of discretized light-cone momentum $k^{+}$. Solving a second-class constraint associated with the $k^{+}=0$ mode, we show that the $k^{+}=0$ mode propagates along the internal lines of Feynman diagrams in any order of perturbation, hence our theory recovers the Lorentz invariance.

14pp

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