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.

10 pages

References in corpus (6)

• Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
• Equality of Two Definitions for Transverse Momentum Dependent Parton Distribution Functions
• Nonperturbative light-front Hamiltonian methods
• Deep Elastic Processes of Composite Particles in Field Theory and Asymptotic Freedom
• The Light-Front Vacuum
• On Transverse-Momentum Dependent Light-Cone Wave Functions of Light Mesons

Cited by in corpus (5)

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• Artificial Dynamical Effects in Quantum Field 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
• Pion GPDs: A path toward phenomenology