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Unconstrained SU(2) and SU(3) Yang-Mills classical mechanics

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Abstract

A systematic study of contraints in SU(2) and SU(3) Yang-Mills classical mechanics is performed. Expect for the SU(2) case with spatial angular momenta they turn out to be nonholonomic. The complete elimination of the unphysical gauge and rotatinal degrees of freedom is achieved using Dirac`s constraint formalism. We present an effective unconstrained formulation of the general SU(2) Yang-Mills classical mechanics as well as for SU(3) in the subspace of vanishing spatial angular momenta that is well suited for further explicit dynamical investigations. (orig.).
Authors:
Dahmen, B; Raabe, B [1] 
  1. Hamburg Univ. (Germany). 2. Inst. fuer Theoretische Physik
Publication Date:
Jan 01, 1992
Product Type:
Technical Report
Report Number:
DESY-92-006
Reference Number:
SCA: 662110; PA: DEN-92:006346; SN: 92000736509
Resource Relation:
Other Information: PBD: Jan 1992
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; YANG-MILLS THEORY; CLASSICAL MECHANICS; UNIFIED GAUGE MODELS; SU-2 GROUPS; SU-3 GROUPS; QUANTUM CHROMODYNAMICS; DEGREES OF FREEDOM; GAUGE INVARIANCE; ANGULAR MOMENTUM; LAGRANGE EQUATIONS; LAGRANGIAN FUNCTION; LAGRANGIAN FIELD THEORY; ACTION INTEGRAL; COMMUTATION RELATIONS; CANONICAL TRANSFORMATIONS; EQUATIONS OF MOTION; HAMILTONIAN FUNCTION; PHASE SPACE; FOUR-DIMENSIONAL CALCULATIONS; ROTATION; 662110; THEORY OF FIELDS AND STRINGS
OSTI ID:
10143457
Research Organizations:
Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Other: ON: DE92517041; TRN: DE9206346
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
DEN
Size:
31 p.
Announcement Date:
Jul 05, 2005

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Citation Formats

Dahmen, B, and Raabe, B. Unconstrained SU(2) and SU(3) Yang-Mills classical mechanics. Germany: N. p., 1992. Web.
Dahmen, B, & Raabe, B. Unconstrained SU(2) and SU(3) Yang-Mills classical mechanics. Germany.
Dahmen, B, and Raabe, B. 1992. "Unconstrained SU(2) and SU(3) Yang-Mills classical mechanics." Germany.
@misc{etde_10143457,
title = {Unconstrained SU(2) and SU(3) Yang-Mills classical mechanics}
 author = {Dahmen, B, and Raabe, B}
 abstractNote = {A systematic study of contraints in SU(2) and SU(3) Yang-Mills classical mechanics is performed. Expect for the SU(2) case with spatial angular momenta they turn out to be nonholonomic. The complete elimination of the unphysical gauge and rotatinal degrees of freedom is achieved using Dirac`s constraint formalism. We present an effective unconstrained formulation of the general SU(2) Yang-Mills classical mechanics as well as for SU(3) in the subspace of vanishing spatial angular momenta that is well suited for further explicit dynamical investigations. (orig.).}
 place = {Germany}
 year = {1992}
 month = {Jan}
 }