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- W18641284 abstract "A new invariant way of obtaining interactions from gauge freedom is explored. No use is made of Lagrangians. Instead, the starting point is a scalar quantity of immediate physical interest: the probability density ρ of the particle in phase space, as defined in references [3–6]. This theory is based not on space-time R4 but on the forward tube T, which is interpreted as an extended classical phase space. The probability density ρ is a positive function on T which can be expressed as the fiberwise inner product 〈f, f〉 of the wave function f with itself. Here f is a holomorphic section of the trivial holomorphic vector bundle T × CS, and the inner product is with respect to a fiber metric h: 〈f, f〉 = f*hf. Conservation of probability, combined with holomorphy, leads to an equation for f which is closely related to the Klein-Gordon equation for a particle minimally coupled to a Yang-Mills field. The Yang-Mills potential is uniquely determined as the canonical connection of type (1,0) defined by h." @default.
- W18641284 created "2016-06-24" @default.
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- W18641284 date "1980-01-01" @default.
- W18641284 modified "2023-10-14" @default.
- W18641284 title "Holomorphic gauge theory" @default.
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- W18641284 doi "https://doi.org/10.1007/bfb0092024" @default.
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