Integration over a generic algebra

Details Integration over a generic algebra Integration over a generic algebra

1997-02-19

arxiv.org/abs/physics/9702019v2

Int.J.Mod.Phys. A12 (1997) 5803-5826

Physics

Mathematical Physics

31 pages, Latex. A few typos have been corrected. Some comments about algebras with identity and about inner derivations have

Scientific paper

10.1142/S0217751X97003042

In this paper we consider the problem of quantizing theories defined over configuration spaces described by non-commuting parameters. If one tries to do that by generalizing the path-integral formalism, the first problem one has to deal with is the definition of integral over these generalized configuration spaces. This is the problem we state and solve in the present work, by constructing an explicit algorithm for the integration over a general algebra. Many examples are discussed in order to illustrate our construction.

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