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Relating Field Theories via Stochastic Quantization

Dijkgraaf, R.H. and Orlando, D. and Reffert, S (2009) Relating Field Theories via Stochastic Quantization. .

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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.

Item Type:Article
Institutes:Bureau KNAW
ID Code:3872
Deposited On:27 Aug 2009 11:48
Last Modified:13 Oct 2010 22:35

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