Abstract
From the path probability density for nonlinear stochastic processes a Lagrangean for classical field dynamics is derived. This formulation provides a convenient approach to the mode coupling equations and the renormalization group theory of critical dynamics. An application is given for the time-dependent isotropic Heisenberg ferromagnet. The dynamical exponent\(z = \frac{{d + 2 - \eta }}{2}\) is derived aboveT c for all dimensionsd>2.
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Janssen, HK. On a Lagrangean for classical field dynamics and renormalization group calculations of dynamical critical properties. Z Physik B 23, 377–380 (1976). https://doi.org/10.1007/BF01316547
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DOI: https://doi.org/10.1007/BF01316547