Incompatibility of gauge invariance and nonrelativistic locality in path integral formulation |
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Authors: | J Patera |
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Institution: | (1) Centre de Recherches Mathématiques, Université de Montréal, Montréal, Canada |
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Abstract: | It is shown that a modification of the usual gauge transformations is essential to the path integral formulation of nonrelativistic quantum mechanics as a consequence of defining the locality condition as follows: The contribution from each path comes entirely from the points on the path. Arguments are based on the similarity between Wiener and Feynman functional (path) integrals. |
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Keywords: | Quantum mechanics gauge invariance path integral stochastic integral |
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