Gradient Flows From An Approximation To The Exact Renormalization Group *

@inproceedings{Haagensen1993GradientFF,
  title={Gradient Flows From An Approximation To The Exact Renormalization Group *},
  author={Peter E. Haagensen and Yuri A. Kubyshin and Jos{\'e} Ignacio Latorre and Enrique Moreno},
  year={1993}
}
Through appropriate projections of an exact renormalization group equation, we study fixed points, critical exponents and nontrivial renormalization group flows in scalar field theories in 2 < d < 4. The standard upper critical dimensions dk = 2k k−1 , k = 2, 3, 4, . . . appear naturally encoded in our formalism, and for dimensions smaller but very close to dk our results match the ǫ-expansion. Within the coupling constant subspace of mass and quartic couplings and for any d, we find a gradient… CONTINUE READING
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