Beta Functions in the Integral Equation Approach to the Exact Renormalization Group

Details Beta Functions in the Integral Equation Approach to the Exact Renormalization Group Beta Functions in the Integral Equation Approach to the Exact Renormalization Group

2003-02-07

arxiv.org/abs/hep-th/0302044v1

Physics

High Energy Physics

High Energy Physics - Theory

40 pages, 4 figures, LaTeX2e with REVTEX4

Scientific paper

We incorporate running parameters and anomalous dimensions into the framework of the exact renormalization group. We modify the exact renormalization group differential equations for a real scalar field theory, using the anomalous dimensions of the squared mass and the scalar field. Following a previous paper in which an integral equation approach to the exact renormalization group was introduced, we reformulate the modified differential equations as integral equations that define the continuum limit directly in terms of a running squared mass and self-coupling constant. Universality of the continuum limit under an arbitrary change of the momentum cutoff function is discussed using the modified exact renormalization group equations.

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