Critical $O(N)$ models in the complex field plane

19 Jan 2017 Litim Daniel F. Marchais Edouard

Local and global scaling solutions for $O(N)$ symmetric scalar field theories are studied in the complexified field plane with the help of the renormalisation group. Using expansions of the effective action about small, large, and purely imaginary fields, we obtain and solve exact recursion relations for all couplings and determine the $3d$ Wilson-Fisher fixed point analytically... (read more)

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  • HIGH ENERGY PHYSICS - THEORY
  • STATISTICAL MECHANICS
  • HIGH ENERGY PHYSICS - PHENOMENOLOGY