Gauge invariance and canonical quantization in the nucleon internal structure

Journal Article · Mon Oct 24 04:00:00 EDT 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3647133· OSTI ID:21608387

Fan, Wang; Weiming, Sun ^[1]; Xiangsong, Chen; Xiaofu, Lue ^[2]; Goldman, T ^[3]

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1. Department of Physics, Nanjing University and J-CPNPC, Nanjing, 210093 (China)
2. Department of Physics, Sichuan University, Chendu, 610064 (China)
3. Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545 (United States)

It is unavoidable to deal with the quark and gluon momentum and angular momentum contributions to the nucleon momentum and spin in the study of nucleon internal structure. However, we never have the quark and gluon momentum, orbital angular momentum and gluon spin operators which satisfy both the gauge invariance and the canonical momentum and angular momentum commutation relations. A new set of quark and gluon momentum, orbital angular momentum and spin operators, which satisfy both the gauge invariance and canonical momentum and angular momentum commutation relations, are proposed. The key point to achieve such a proper decomposition is to separate the gauge potential into the pure gauge and the gauge covariant parts. The same conflicts also exist in QED and quantum mechanics and have been solved in the same manner. The impacts of this new decomposition to the nucleon internal structure study are discussed.

• OSTI ID: 21608387
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1374; ISSN 0094-243X; ISSN APCPCS
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BARYONS
BOSONS
COMMUTATION RELATIONS
ELECTRODYNAMICS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
GAUGE INVARIANCE
GLUONS
HADRONS
INVARIANCE PRINCIPLES
MATTER
MECHANICS
NUCLEONS
ORBITAL ANGULAR MOMENTUM
PARTICLE PROPERTIES
PARTICLE STRUCTURE
POTENTIALS
QUANTIZATION
QUANTUM CHROMODYNAMICS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUANTUM MECHANICS
QUARK MATTER
QUARKS
SPIN