On a Lagrangean for classical field dynamics and renormalization group calculations of dynamical critical properties

  title={On a Lagrangean for classical field dynamics and renormalization group calculations of dynamical critical properties},
  author={H. K. Janssen},
  journal={Zeitschrift f{\"u}r Physik B Condensed Matter},
  • H. Janssen
  • Published 1976
  • Physics
  • Zeitschrift für Physik B Condensed Matter
AbstractFrom 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 aboveTc for all dimensionsd>2. 
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