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arXiv · hep-th/0111186

Dynamical Zero Modes and Criticality in Continuous Light Cone Quantization of Phi^{4}_{1+1}

P. Grange·S. Salmons·E. Werner
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Abstract

Critical behaviour of the 2D scalar field theory in the LC framework is reviewed. The notion of dynamical zero modes is introduced and shown to lead to a non trivial covariant dispersion relation only for Continuous LC Quantization (CLCQ). The critical exponent $η$ is found to be governed by the behaviour of the infinite volume limit under conformal transformations properties preserving the local LC structure. The $β$-function is calculated exactly and found non-analytic, with a critical exponent $ω=2$, in agreement with the conformal field theory analysis of Calabrese et al.

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P. Grange, S. Salmons, E. Werner. 2001-11-21. Dynamical Zero Modes and Criticality in Continuous Light Cone Quantization of Phi^{4}_{1+1}. https://doi.org/10.1016/s0920-5632(02)01330-0

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