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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14pp

Scientific paper

10.1016/0370-2693(94)90827-3

We investigate the light-cone quantization of $\phi^3$ 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.

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