Space-Time Quantization and Nonlocal Field Theory -Relativistic Second Quantization of Matrix Model

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dc.creatorTanaka, Sho
dc.date2000-02-01
dc.date2000-09-24
dc.date.accessioned2026-07-07T04:09:25Z
dc.date.available2026-07-07T04:09:25Z
dc.descriptionWe propose relativistic second quantization of matrix model of D particles in a general framework of nonlocal field theory based on Snyder-Yang's quantized space-time. Second-quantized nonlocal field is in general noncommutative with quantized space-time, but conjectured to become commutative with light cone time $X^+$. This conjecture enables us to find second-quantized Hamiltonian of D particle system and Heisenberg's equation of motion of second-quantized {\bf D} field in close contact with Hamiltonian given in matrix model. We propose Hamilton's principle of Lorentz-invariant action of {\bf D} field and investigate what conditions or approximations are needed to reproduce the above Heisenberg's equation given in light cone time. Both noncommutativities appearing in position coordinates of D particles in matrix model and in quantized space-time will be eventually unified through second quantization of matrix model.
dc.description22 pages, no figures (plain TeX with PHYZZX macro), Eq.(4.3) corrected, Eq. (5.6) corrected, minor changes of expression in section 5, a footnote on Eq.(5.6) and one reference added
dc.identifierhttps://arxiv.org/abs/hep-th/0002001
dc.identifierhttp://arxiv.org/abs/hep-th/0002001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/49837
dc.subjectHigh Energy Physics - Theory
dc.titleSpace-Time Quantization and Nonlocal Field Theory -Relativistic Second Quantization of Matrix Model
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