Field Theory of Yang-Mills Quantum Mechanics for D Particles

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dc.creatorYoneya, Tamiaki
dc.date2007-05-14
dc.date2007-07-11
dc.date.accessioned2026-07-07T12:34:38Z
dc.date.available2026-07-07T12:34:38Z
dc.descriptionWe propose a new field-theoretic framework for formulating the non-relativistic quantum mechanics of D particles in a Fock space of U(N) Yang-Mills theories with all different N in a unified way. D-particle field operators, creating and annihilating a D particle and hence changing N one by one, are defined. The base space of these D-particle fields is a (complex) vector space of infinite dimensions. The gauge invariance of Yang-Mills quantum mechanics is reinterpreted as a quantum-statistical symmetry, which is taken into account by setting up a novel algebraic and projective structure in the formalism. Ordinary physical observables of Yang-Mills theory, obeying the standard algebra, are expressed as bilinear forms of the D-particle fields. Together with the open-closed string duality, our new formulation suggests a trinity of three different but mutually dual viewpoints in string theory.
dc.descriptioncorrected typos, corrected references, 39 pages, 2 figures, version to be published in Prog. Theor. Phys
dc.identifierhttps://arxiv.org/abs/0705.1960
dc.identifierhttp://arxiv.org/abs/0705.1960
dc.identifierProg.Theor.Phys.118:135-167,2007
dc.identifierdoi:10.1143/PTP.118.135
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217506
dc.subjectHigh Energy Physics - Theory
dc.titleField Theory of Yang-Mills Quantum Mechanics for D Particles
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