METAPLECTIC SPINOR FIELDS AND GLOBAL ANOMALIES
نویسندگان
چکیده
منابع مشابه
Quantum Mechanics as a Gauge Theory of Metaplectic Spinor Fields 1
A hidden gauge theory structure of quantum mechanics which is invisible in its conventional formulation is uncovered. Quantum mechanics is shown to be equivalent to a certain Yang–Mills theory with an infinite–dimensional gauge group and a nondynamical connection. It is defined over an arbitrary symplectic manifold which constitutes the phase–space of the system under consideration. The ”matter...
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Smooth irreducible representations of tori over local fields have been parameterized by Langlands, using class field theory and Galois cohomology. This paper extends this parameterization to central extensions of such tori, which arise naturally in the setting of nonlinear covers of reductive groups.
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The Dirac equation is expressed entirely in terms of geometrical quantities by providing a geometrical interpretation for the (−1) which appears explicitly in the Dirac equation. In the modification of the Dirac electron theory which ensues, the (−1) appears as the generator of rotations in the spacelike plane orthogonal to the plane containing the electron current and spin vectors. This amount...
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Let λ : G̃ → G be the non-trivial double covering of the symplectic group G = Sp(V, ω) of the symplectic vector space (V, ω) by the metaplectic group G̃ = Mp(V, ω). In this case, λ is also a representation of G̃ on the vector space V and thus, it gives rise to the representation of G̃ on the space of exterior forms ∧• V by taking wedge products. Let S be the minimal globalization of the Harish-Chan...
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ژورنال
عنوان ژورنال: International Journal of Modern Physics A
سال: 1995
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x95000036