Stochastic Quantization of the Linearized Gravitational Field

  • H. Rumpf
Conference paper
Part of the Acta Physica Austriaca book series (FEWBODY, volume 26/1984)


The stochastic quantization scheme of Parisi and Wu [1] exhibits a Euclidean quantum field ψ(x) as the stationary limit with respect to a fictitious time t of the stochastic relaxation process defined for t ≥ 0 by the Langevin equation
$$\frac{\partial } {{\partial t}}\,\psi \,(t,x)\, = \, - \,\frac{{\delta S[\psi (t,x)]}} {{\delta \psi (t,x)}}\, + \,\eta \,(t,x).$$


Langevin Equation Stochastic Quantization Generalize Gauge Transformation Symmetric Tensor Field Fictitious Time 
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  1. 1.
    G. Parisi and Wu Yong-Shi, Sci. Sinica 24 (1981) 483.MathSciNetGoogle Scholar
  2. 2.
    P. van Nieuwenhuizen, Nucl. Phys. B60 (1973) 478.CrossRefADSGoogle Scholar
  3. 3.
    H. van Dam, M. Veltman, Nucl. Phys. B22 (1970) 397.ADSGoogle Scholar
  4. 4.
    L. Baulieu, D. Zwanziger, Nucl. Phys. B193 (1981) 163; see also E. Seller, lectures at this school.CrossRefADSMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • H. Rumpf
    • 1
  1. 1.Institut für Theoretische PhysikUniversität WienViennaAustria

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