• Corpus ID: 117317598

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

  title={Beta Functions in the Integral Equation Approach to the Exact Renormalization Group},
  author={H. Sonoda},
  journal={arXiv: High Energy Physics - Theory},
  • H. Sonoda
  • Published 7 February 2003
  • Physics, Mathematics
  • arXiv: High Energy Physics - Theory
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… 
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