Derivative expansion of the renormalization group in O(N) scalar field theory

Details Derivative expansion of the renormalization group in O(N) scalar field theory Derivative expansion of the renormalization group in O(N) scalar field theory

1997-04-29

arxiv.org/abs/hep-th/9704202v1

Nucl.Phys. B509 (1998) 637-661

Physics

High Energy Physics

High Energy Physics - Theory

29 pages including 4 eps figures, uses LaTeX, epsfig, and latexsym

Scientific paper

10.1016/S0550-3213(97)00640-8

We apply a derivative expansion to the Legendre effective action flow equations of O(N) symmetric scalar field theory, making no other approximation. We calculate the critical exponents eta, nu, and omega at the both the leading and second order of the expansion, associated to the three dimensional Wilson-Fisher fixed points, at various values of N. In addition, we show how the derivative expansion reproduces exactly known results, at special values N=infinity,-2,-4, ... .

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