Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-05-14
Prog.Theor.Phys.118:135-167,2007
Physics
High Energy Physics
High Energy Physics - Theory
corrected typos, corrected references, 39 pages, 2 figures, version to be published in Prog. Theor. Phys
Scientific paper
10.1143/PTP.118.135
We 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.
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