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

@article{Janssen1976OnAL,
  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},
  year={1976},
  volume={23},
  pages={377-380}
}
  • 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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TLDR
The symmetries of the Kraichnan model are analyzed and the leading correction to the structure functions considering the renormalization of composite operators and applying the operator product expansion is derived. Expand
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