Quantization in a General Light-front Frame

Abstract

In this paper, we study the question of quantization of quantum field theories in a general light-front frame. We quantize scalar, fermion as well as gauge field theories in a systematic manner carrying out the Hamiltonian analysis carefully. The decomposition of the fields into positive and negative frequency terms needs to be done carefully after which we show that the (anti) commutation relations for the quantum operators become frame independent. The frame dependence is completely contained in the functions multiplying these operators in the field decomposition. We derive the propagators from the vacuum expectation values of the time ordered products of the fields.

14 pages, revtex, version to be published in Phys. Rev. D with the discussion of Abelian field quantization replaced by the non-Abelian field and some comments added on the Mandelstam-Liebbrandt prescription

References in corpus (7)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Light Front Quantization
• Light-Front-Quantized QCD in Light-Cone Gauge: The Doubly Transverse Gauge Propagator
• Light-front field theories at finite temperature
• Light-Front-Quantized QCD in Covariant Gauge
• Thermal Field Theory and Generalized Light Front Coordinates
• Light-front Schwinger Model at Finite Temperature

Cited by in corpus (6)

• Statistical Physics and Light-Front Quantization
• Finite Temperature Effective Actions
• Noncommutativity from spectral flow
• Effective actions at finite temperature
• Path Integral Approach to Residual Gauge Fixing
• Unruh Effect in the General Light-Front Frame