The non-triviality of the vacuum in light-front quantization: An elementary treatment

Abstract

It is often stated that the vacuum is trivial when light-front (null-plane) quantization is applied to a quantum field theory, in contrast to the situation with equal-time quantization. In fact, it is has long been known that the statement is false, and that in certain cases the standard rules for light-front perturbation theory need modification. This paper gives an elementary review of these issues, including an explanation of how and when there is a failure of the elementary derivation of the rules for light-front perturbation theory.

arXiv comment10 pages

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Cited by in corpus (12)

• Computing Light-Front Wave Functions Without Light-Front Quantization: A Large-Momentum Effective Theory Approach
• Introduction to Lightcone Conformal Truncation: QFT Dynamics from CFT Data
• Nonperturbative Matching Between Equal-Time and Lightcone Quantization
• Artificial Dynamical Effects in Quantum Field Theory
• Structure of light front vacuum sector diagrams
• Wavelet representation of light-front quantum field theory
• Mode truncations and scattering in strong fields
• Transitioning from equal-time to light-front quantization in ${\varphi }_2^4$ theory
• Color Confinement and Supersymmetric Properties of Hadron Physics from Light-Front Holography
• Convergence of the light-front coupled-cluster method in quenched scalar Yukawa theory
• Critical Coupling for Two-dimensional ${\varphi }^4$ Theory in Discretized Light-Cone Quantization
• Pion GPDs: A path toward phenomenology