The Vacuum in Light-Cone Field Theory

Details The Vacuum in Light-Cone Field Theory The Vacuum in Light-Cone Field Theory

1996-03-29

arxiv.org/abs/hep-th/9603205v2

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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.]

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