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Phase space reduction and the choice of physical variables in gauge theories

Abstract

The connection between the way of separation of physical variables and the form of the Hamiltonian path integral (HPI) is studied for the Yang-Mills quantum mechanics. It is shown that physical degrees of freedom are always described by curvilinear coordinates. It is also found that the ambiguity in determining physical variables follows from the reduction of the physical phase space. The latter leads to a modification of the standard HPI (HPI with gauge conditions). 26 refs.
Authors:
Publication Date:
Dec 31, 1990
Product Type:
Technical Report
Report Number:
JINR-E-2-90-23
Reference Number:
SCA: 662120; PA: AIX-23:050394; SN: 92000772439
Resource Relation:
Other Information: PBD: 1990
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; YANG-MILLS THEORY; GAUGE INVARIANCE; PHASE SPACE; CURVILINEAR COORDINATES; DEGREES OF FREEDOM; HAMILTONIANS; HIDDEN VARIABLES; HILBERT SPACE; KERNELS; 662120; SYMMETRY, CONSERVATION LAWS, CURRENTS AND THEIR PROPERTIES
OSTI ID:
10157400
Research Organizations:
Joint Inst. for Nuclear Research, Dubna (Russian Federation). Lab. of Theoretical Physics
Country of Origin:
USSR
Language:
English
Other Identifying Numbers:
Other: ON: DE92635018; TRN: SU9203859050394
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
30 p.
Announcement Date:
Jul 06, 2005

Citation Formats

Shabanov, S V. Phase space reduction and the choice of physical variables in gauge theories. USSR: N. p., 1990. Web.
Shabanov, S V. Phase space reduction and the choice of physical variables in gauge theories. USSR.
Shabanov, S V. 1990. "Phase space reduction and the choice of physical variables in gauge theories." USSR.
@misc{etde_10157400,
title = {Phase space reduction and the choice of physical variables in gauge theories}
author = {Shabanov, S V}
abstractNote = {The connection between the way of separation of physical variables and the form of the Hamiltonian path integral (HPI) is studied for the Yang-Mills quantum mechanics. It is shown that physical degrees of freedom are always described by curvilinear coordinates. It is also found that the ambiguity in determining physical variables follows from the reduction of the physical phase space. The latter leads to a modification of the standard HPI (HPI with gauge conditions). 26 refs.}
place = {USSR}
year = {1990}
month = {Dec}
}