Integration Over a Generic Algebra
- 30 December 1997
- journal article
- research article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Modern Physics A
- Vol. 12 (32) , 5803-5826
- https://doi.org/10.1142/s0217751x97003042
Abstract
In this paper we consider the problem of quantizing theories defined over configuration spaces described by noncommuting 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 generic algebra. The general conditions a given algebra has to satisfy in order to admit our integration are not yet fully understood, but many examples are discussed in order to illustrate our construction.Keywords
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