Quasirenormalizable Quantum Field Theories

  title={Quasirenormalizable Quantum Field Theories},
  author={M. Polyakov and K. Semenov-Tian-Shansky and A. Smirnov and A. Vladimirov},
  journal={Theoretical and Mathematical Physics},
Leading logarithms in massless nonrenormalizable effective field theories can be computed using nonlinear recurrence relations. These recurrence relations follow from the fundamental requirements of unitarity, analyticity, and crossing symmetry of scattering amplitudes and generalize the renormalization group technique to the case of nonrenormalizable effective field theories. We review the existing exact solutions of nonlinear recurrence relations relevant for field theory applications. We… Expand
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