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- Title
Quantum Chromodynamics of the Nucleon in Terms of Complex Probabilistic Processes.
- Authors
Gevorkyan, Ashot S.; Bogdanov, Aleksander V.
- Abstract
Despite the obvious progress made by the Feynman, Ravndal, and Kislinger relativistic model in describing the internal motion of a system with confinement of quarks in a nucleon, it turned out to be insufficiently realistic for a number of reasons. In particular, the model does not take into account some cornerstone properties of QCD, namely, gluon exchange between quarks, the influence of the resulting quark sea on valence quarks, and the self-interaction of colored gluons. It is these phenomena that spontaneously break the chiral symmetry of the quark system and form the bulk of the nucleon. To eliminate the above shortcomings of the model, the problem of self-organization of a three-quark dynamical system immersed in a colored quark–antiquark sea is considered within the framework of complex probabilistic processes that satisfy the stochastic differential equation of the Langevin–Kline–Gordon–Fock type. Taking into account the hidden symmetry of the internal motion of a dynamical system, a mathematically closed nonperturbative approach was developed, which makes it possible to construct the mathematical expectation of the wave function and other parameters of the nucleon in the form of multiple integral representations. It is shown that additional subspaces arising in a representation characterized by a noncommutative geometry with topological features participate in the formation of an effective interaction between valence quarks against the background of harmonic interaction between them.
- Subjects
QUANTUM chromodynamics; PARTICLES (Nuclear physics); QUARK confinement; CHIRALITY of nuclear particles; STOCHASTIC differential equations; DYNAMICAL systems
- Publication
Symmetry (20738994), 2024, Vol 16, Issue 3, p256
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym16030256