Canonical quantization in A0=0 gauge
Creators
Description
The method of canonical quantization in A=0 gauge in non-Ab elian gauge theories with regard to nontrivial topological structure of the group is in succession reported. It is shown that gauge transformations of the residual symmetry aiming at x → ∞ to constant matrix and satisfying the property criterion are divided into topological classes and unitary equivalent transformations in the Hilbert space of states operators of topological charge and production (absorption) of instantons are introduced, physical subspace in which factorization of multiinstanton state is determined. The derivation of the known formula for continuous representation of the generating functional over Θ-vacuum is given. It is shown that in the A0=0 gauge transition to interaction of representation in quantum chromodynamics (QCD) in contrast to quantum electrodynamics (QED) is not a canonic transformation, the non-Abelian operator, commutating with hamiltonian in in-picture, is non-local by its nature and does not form the Li group. A complicated interaction law arises with ''physical'' quarks in this gauge
Additional details
Additional titles
- Original title (Russian)
- Каноническое квантование в калибровке А
Publishing Information
- Journal Title
- Tr. Fiz. Inst., Akad. Nauk SSSR
- Journal Volume
- 165
- Series
- Tr. Fiz. Inst., Akad. Nauk SSSR.
- Journal Page Range
- 4-30
- CODEN
- TFIAA
INIS
- Country of Publication
- USSR
- Country of Input or Organization
- USSR
- INIS RN
- 18086823
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CANONICAL TRANSFORMATIONS; COMMUTATION RELATIONS; FEYNMAN PATH INTEGRAL; FUNCTIONALS; GAUGE INVARIANCE; GLUONS; HAMILTONIANS; HILBERT SPACE; INSTANTONS; POINCARE GROUPS; QUANTUM CHROMODYNAMICS; QUANTUM ELECTRODYNAMICS; QUARKS; S MATRIX; SCHROEDINGER EQUATION; VACUUM STATES; YANG-MILLS THEORY
- Descriptors DEC
- BANACH SPACE; DIFFERENTIAL EQUATIONS; ELECTRODYNAMICS; ELEMENTARY PARTICLES; EQUATIONS; FIELD THEORIES; INTEGRALS; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MATRICES; PARTIAL DIFFERENTIAL EQUATIONS; POSTULATED PARTICLES; QUANTUM FIELD THEORY; QUANTUM OPERATORS; QUASI PARTICLES; SPACE; SYMMETRY GROUPS; TRANSFORMATIONS; WAVE EQUATIONS
Optional Information
- Notes
- For English translation see the journal Proceedings of the P.N. Lebedev Physics Institute (USA).