Published 1986 | Version v1
Journal article

Canonical quantization in A0=0 gauge

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

Optional Information

Notes
For English translation see the journal Proceedings of the P.N. Lebedev Physics Institute (USA).