Relating field theories via stochastic quantization |
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Authors: | Robbert Dijkgraaf Domenico Orlando Susanne Reffert |
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Affiliation: | 1. KdV Institute for Mathematics, University of Amsterdam, Plantage Muidergracht 24, 1018 TV Amsterdam, The Netherlands;2. Institute for Theoretical Physics, University of Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam, The Netherlands;3. Institute for the Mathematics and Physics of the Universe, The University of Tokyo, Kashiwa-no-Ha 5-1-5, Kashiwa-shi, 277-8568 Chiba, Japan |
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Abstract: | This note aims to subsume several apparently unrelated models under a common framework. Several examples of well-known quantum field theories are listed which are connected via stochastic quantization. We highlight the fact that the quantization method used to obtain the quantum crystal is a discrete analog of stochastic quantization. This model is of interest for string theory, since the (classical) melting crystal corner is related to the topological A-model. We outline several ideas for interpreting the quantum crystal on the string theory side of the correspondence, exploring interpretations in the Wheeler–De Witt framework and in terms of a non-Lorentz invariant limit of topological M-theory. |
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