Published August 3, 2007
| Version v1
Journal article
On the construction of QED using ERG
Description
It has been known for some time that a smooth momentum cutoff is compatible with local gauge symmetries. In this paper, we show concretely how to construct QED using the exact renormalization group (ERG). First, we give a new derivation of the Ward identity for the Wilson action using the technique of composite operators. Second, parametrizing the theory by its asymptotic behaviour for a large cutoff, we show how to fine tune the parameters to satisfy the identity. Third, we recast the identity as an invariance of the Wilson action under a nonlinear BRST transformation
Additional details
Identifiers
- DOI
- 10.1088/1751-8113/40/31/034;
- PII
- S1751-8113(07)47174-8;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and Theoretical (Online)
- Journal Volume
- 40
- Journal Issue
- 31
- Journal Page Range
- p. 9675-9690
- ISSN
- 1751-8121
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 39012871
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- GAUGE INVARIANCE; NONLINEAR PROBLEMS; QUANTUM ELECTRODYNAMICS; RENORMALIZATION; TRANSFORMATIONS; WARD IDENTITY
- Descriptors DEC
- ELECTRODYNAMICS; FIELD THEORIES; INVARIANCE PRINCIPLES; QUANTUM FIELD THEORY