Gauge-invariant Green function in 2+1 dimensional quantum electrodynamics
Creators
- 1. Department of Physics and Material Research Institute, Pennsylvania State University, University Park, Pennsylvania 16802 (United States)
Description
Both the gauge-invariant fermion Green function and gauge-dependent conventional Green function in 2+1-dimensional QED are studied in the large N limit. In temporal gauge, the infrared divergence of the gauge-dependent Green function is found to be regularizable, and the anomalous dimension is found to be η=64/3π2N. This anomalous dimension was argued to be the same as that of the gauge-invariant Green function. However, in Coulomb gauge, the infrared divergence of the gauge-dependent Green function is found to be unregularizable, and the anomalous dimension is not even defined, but the infrared divergence is shown to be canceled in any gauge-invariant physical quantities. The gauge-invariant Green function is also studied directly in Lorentz covariant gauge and the anomalous dimension is found to be the same as that calculated in temporal gauge
Additional details
Identifiers
- DOI
- 10.1103/PhysRevB.67.115104;
- arXiv
- arXiv:cond-mat/0205417v2;
Publishing Information
- Journal Title
- Physical Review. B, Condensed Matter and Materials Physics
- Journal Volume
- 67
- Journal Issue
- 11
- Journal Page Range
- p. 115104-115104.8
- ISSN
- 1098-0121
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36001526
- Subject category
- S75: CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ANOMALOUS DIMENSION; GAUGE INVARIANCE; GREEN FUNCTION; INFRARED DIVERGENCES; ONE-DIMENSIONAL CALCULATIONS; QUANTUM ELECTRODYNAMICS
- Descriptors DEC
- ELECTRODYNAMICS; FIELD THEORIES; FUNCTIONS; INVARIANCE PRINCIPLES; QUANTUM FIELD THEORY; SCALE DIMENSION
Optional Information
- Notes
- (c) 2003 The American Physical Society