Quasi-Classical Model in SU(N) Gauge Field Theory

Journal Article · Mon May 23 04:00:00 EDT 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3575071· OSTI ID:21516920

Koshelkin, A V ^[1]

---

1. Kashirskoye sh. 31, 15409, Moscow (Russian Federation)

The quasi-classical model in a gauge theory with the Yang-Mills (YM) field is developed. On a basis of the exact solution of the Dirac equation in the SU(N) gauge field which is in the eikonal approximation the Yang-Mills equations containing an external current are solved. The developed model proves to have the self-consistent solutions of the Dirac and Yang-Mills equations at N{>=}3. The derived solutions take place provided that the fermion and gauge fields exist together, so that the fermion current completely compensates the current generated by the gauge field due to its self-interaction. The obtained solutions are considered in the context of QCD.

• OSTI ID: 21516920
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1343; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
APPROXIMATIONS
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
EIKONAL APPROXIMATION
EQUATIONS
EXACT SOLUTIONS
FIELD EQUATIONS
FIELD THEORIES
GAUGE INVARIANCE
INTERACTIONS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL SOLUTIONS
MATTER
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MATTER
RENORMALIZATION
SU GROUPS
SYMMETRY GROUPS
WAVE EQUATIONS
YANG-MILLS THEORY