2004/08/18 by A. T. Suzuki, Alfredo Takashi Suzuki, Suzuki, A. T. +3
Engineering · Physics and Astronomy · #Astronomical Observations and Instrumentation #Astronomy and Astrophysical Research #History and Developments in Astronomy #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0408135
5 pages. Talk given in Light-Cone Workshop: Hadrons and Beyond, LC03, Grey College, University of Durham, Durham, 5-9 August, 2003
arxiv created 2004/08/18 · arxiv updated 2009/12/01
At the classical level, the inverse differential operator for the quadratic term in the gauge field Lagrangian density fixed in the light front through the multiplier (nA)2 yields the standard two term propagator with single unphysical pole of the type (kn)-1. Upon canonical quantization on the light-front, there emerges a third term of the form (kn^(mu)n^(nu))(kn)-2. This third term in the propagator has traditionally been dropped on the grounds that is exactly cancelled by the "instantaneous" term in the interaction Hamiltonian in the light-front. Our aim in this work is not to discuss which of the propagators is the correct one, but rather to present at the classical level, the gauge fixing conditions that can lead to the three-term propagator.