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ON THE LANGEVIN EQUATION FOR STOCHASTIC QUANTIZATION OF GRAVITY

Naohito Nakazawa

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Abstract

We study the Langevin equation for stochastic quantization of gravity. By introducing two independent variables with a second-class constraint for the gravitational field, we formulate a pair of Langevin equations for gravity which couples with white noises. After eliminating the multiplier field for the second-class constraint, we show that the equations lead to stochastic quantization of gravity including a unique superspace metric.

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What this paper is about

We study the Langevin equation for stochastic quantization of gravity. By introducing two independent variables with a second-class constraint for the gravitational field, we formulate a pair of Langevin equations for gravity which couples with white noises. After eliminating the multiplier field for the second-class constraint, we show that the equations lead to stochastic quantization of gravity including a unique superspace metric.

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Available abstract

We study the Langevin equation for stochastic quantization of gravity. By introducing two independent variables with a second-class constraint for the gravitational field, we formulate a pair of Langevin equations for gravity which couples with white noises. After eliminating the multiplier field for the second-class constraint, we show that the equations lead to stochastic quantization of gravity including a unique superspace metric.

Key concepts: Stochastic quantization, Physics, Langevin equation, Quantization (signal processing), Stochastic differential equation, Gravitational field, Gravitation, Classical mechanics

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