Published May 25, 2007
| Version v1
Journal article
On the relation between RG and ERG
Description
We discuss how the ordinary renormalization group (RG) equations arise in the context of Wilson's exact renormalization group (ERG) as formulated by Polchinski. We consider the Φ4 theory in four-dimensional Euclidean space as an example and introduce a particular scheme of parameterizing the solutions of the ERG equations. By analysing the scalar composite operators of dimensions 2 and 4, we show that the parameters obey mass-independent RG equations. We conjecture the equivalence of our parameterization scheme with the MS scheme for dimensional regularization
Additional details
Identifiers
- DOI
- 10.1088/1751-8113/40/21/019;
- PII
- S1751-8113(07)41600-6;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and Theoretical (Online)
- Journal Volume
- 40
- Journal Issue
- 21
- Journal Page Range
- p. 5733-5749
- ISSN
- 1751-8121
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 38072523
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- EQUATIONS; EUCLIDEAN SPACE; FOUR-DIMENSIONAL CALCULATIONS; MASS; MATHEMATICAL SOLUTIONS; PHI4-FIELD THEORY; RENORMALIZATION; SCALARS; WILSON LOOP
- Descriptors DEC
- FIELD THEORIES; MATHEMATICAL SPACE; QUANTUM FIELD THEORY; RIEMANN SPACE; SPACE