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

@article{Sonoda2003BetaFI, title={Beta Functions in the Integral Equation Approach to the Exact Renormalization Group}, author={H. Sonoda}, journal={arXiv: High Energy Physics - Theory}, year={2003} }

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…

## 2 Citations

### Integral equations for ERG

- Mathematics
- 2005

An application of the exact renormalization group equations to the scalar field theory in three dimensional euclidean space is discussed. We show how to modify the original formulation by J.…

### Gauge invariant action for the open bosonic string: tachyon action

- Physics
- 2009

A gauge invariant action for the open bosonic string has been proposed in an earlier paper. We work out the consequences of this proposal for the lowest mode, viz. the tachyon. The action can be…

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### The lefthand side should be V 4 (−t

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