2004Physics Letters BOpen access

QED revisited: proving equivalence between path integral and stochastic quantization

Helmuth Hüffel, Gerald Kelnhofer

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Abstract

We perform the stochastic quantization of scalar QED based on a generalization of the stochastic gauge fixing scheme and its geometric interpretation. It is shown that the stochastic quantization scheme exactly agrees with the usual path integral formulation.

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We perform the stochastic quantization of scalar QED based on a generalization of the stochastic gauge fixing scheme and its geometric interpretation. It is shown that the stochastic quantization scheme exactly agrees with the usual path integral formulation.

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Available abstract

We perform the stochastic quantization of scalar QED based on a generalization of the stochastic gauge fixing scheme and its geometric interpretation. It is shown that the stochastic quantization scheme exactly agrees with the usual path integral formulation.

Key concepts: Stochastic quantization, Path integral formulation, Quantization (signal processing), Equivalence (formal languages), Mathematics, Generalization, Stochastic interpretation, Gauge fixing

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