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

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

2001-11-21

arxiv.org/abs/hep-th/0111186v1

Nucl.Phys.Proc.Suppl. 108 (2002) 208-213

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, 1 figure

Scientific paper

10.1016/S0920-5632(02)01330-0

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 $\eta$ is found to be governed by the behaviour of the infinite volume limit under conformal transformations properties preserving the local LC structure. The $\beta$-function is calculated exactly and found non-analytic, with a critical exponent $\omega=2$, in agreement with the conformal field theory analysis of Calabrese et al.

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