Conformal invariance in gauge theories. I. Quantum electrodynamics
Journal Article
·
· Theor. Math. Phys.; (United States)
OSTI ID:6982553
This paper discusses the present cycle of studies that are based on the assumption that gauge fields transform in accordance with nonprincipal representations of the conformal group. As a consequence, it is shown that the conformally invariant twopoint functions have nontrivial transverse parts. Conformal quantum electrodynamics is considered. A nondegenerate conformally invariant Lagrangian of the free electromagneitic field is constructed, and the validity of canonical quantization is verified. The physical subspace is distinguished in an invariant manner. The inclusion of an interaction with an external current is discussed.
- Research Organization:
- Joint Institute for Nuclear Research, Dubna
- OSTI ID:
- 6982553
- Journal Information:
- Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 65:1; ISSN TMPHA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CANONICAL TRANSFORMATIONS
CASIMIR OPERATORS
CONFORMAL INVARIANCE
DIFFERENTIAL EQUATIONS
ELECTRODYNAMICS
ELECTROMAGNETIC FIELDS
EQUATIONS
EQUATIONS OF MOTION
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
IRREDUCIBLE REPRESENTATIONS
LAGRANGIAN FUNCTION
LIE GROUPS
LORENTZ TRANSFORMATIONS
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTIZATION
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
SO GROUPS
SYMMETRY GROUPS
TRANSFORMATIONS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CANONICAL TRANSFORMATIONS
CASIMIR OPERATORS
CONFORMAL INVARIANCE
DIFFERENTIAL EQUATIONS
ELECTRODYNAMICS
ELECTROMAGNETIC FIELDS
EQUATIONS
EQUATIONS OF MOTION
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
IRREDUCIBLE REPRESENTATIONS
LAGRANGIAN FUNCTION
LIE GROUPS
LORENTZ TRANSFORMATIONS
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTIZATION
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
SO GROUPS
SYMMETRY GROUPS
TRANSFORMATIONS