Effective light front quantization of scalar field theories and two-dimensional electrodynamics

Abstract

We introduce a new method to include condensates in the light-cone Hamiltonian. By using a Gaussian approximation to the ordinary vacuum in a theory close to the light front, we derive an effective Hamiltonian on the light cone, which has new terms reflecting the nontriviality of the vacuum. We demonstrate our method for scalar ${\varphi }^4$-theory and the massive Schwinger model.

15 pages; LaTeX; local no. HD-TVP-94-7

Cited by in corpus (15)

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• QCD near the Light Cone
• A 3+1 Dimensional Light-Front Model with Spontaneous Breaking of Chiral Symmetry
• Parity Invariance and Effective Light-Front Hamiltonians
• Quantum Fields on the Light Front, Formulation in Coordinates close to the Light Front, Lattice Approximation
• Theta-Vacuum of the Bosonized Massive Light-Front Schwinger Model
• Formulating Light Cone QCD on the Lattice
• Noncommutativity from spectral flow
• Calculation of the Mass Spectrum of QED-2 in Light-Front Coordinates
• Effective Hamiltonian for Scalar Theories in the Gaussian Approximation
• Ultraviolet finiteness of Chiral Perturbation Theory for two-dimensional Quantum Electrodynamics
• Loop Expansion in Light-Cone ${\varphi }^4$ Field Theory