English

The Vacuum in Light-Cone Field Theory

High Energy Physics - Theory 2008-02-03 v2 High Energy Physics - Phenomenology Nuclear Theory

Abstract

This is an overview of the problem of the vacuum in light-cone field theory, stressing its close connection to other puzzles regarding light-cone quantization. I explain the sense in which the light-cone vacuum is ``trivial,'' and describe a way of setting up a quantum field theory on null planes so that it is equivalent to the usual equal-time formulation. This construction is quite helpful in resolving the puzzling aspects of the light-cone formalism. It furthermore allows the extraction of effective Hamiltonians that incorporate vacuum physics, but that act in a Hilbert space in which the vacuum state is simple. The discussion is fairly informal, and focuses mainly on the conceptual issues. [Talk presented at {\sc Orbis Scientiae 1996}, Miami Beach, FL, January 25--28, 1996. To appear in the proceedings.]

Cite

@article{arxiv.hep-th/9603205,
  title  = {The Vacuum in Light-Cone Field Theory},
  author = {David G. Robertson},
  journal= {arXiv preprint arXiv:hep-th/9603205},
  year   = {2008}
}

Comments

20 pages, RevTeX, 4 Postscript figures. Minor typos corrected

R2 v1 2026-07-22T15:58:48.326Z