Abstract
The behavior of quarks is described within approaches used in quantum mechanics and related disciplines (quantum optics and quantum theory of information). The stochastic vacuum of quantum chromodynamics is treated as an environment (closed pool) for color particles (quarks). Their interaction results in a loss of information on the quark color state and consequently in the impossibility of observing it (the confinement of quarks). The processes are described using quantities of the quantum theory of information, such as von Neumann entropy, fidelity, and purity.
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References
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 3: Quantum Mechanics: Non-Relativistic Theory (Nauka, Moscow, 1989, 4th ed.; Pergamon, New York, 1977, 3rd ed.).
W. H. Zurek et al., in Quantum Decoherence, Proceedings of the Poincaré Seminar 2005, Ed. by B. Duplantier, J.-M. Raimond, and V. Rivasseau (Birkhäuser, Basel, 2007).
D. S. Kuz’menko, Yu. A. Simonov, and V. I. Shevchenko, “Vacuum, confinement, and QCD strings in the vacuum correlator method,” Phys. Usp. 47, 1–15 (2004).
Yu. A. Simonov, “The confinement,” Phys. Usp. 39, 313–336 (1996).
J. Ambjørn and P. Olesen, “On the formation of a color magnetic quantum liquid in QCD,” Nucl. Phys. B 170, 60–78 (1980).
A. D. Giacomo, H. G. Dosch, V. I. Shevchenko, and Y. A. Simonov, “Field correlators in QCD. theory and applications,” Phys. Rep. 372, 319–368 (2002).
K. G. Wilson, “Confinement of quarks,” Phys. Rev. D 10, 2445–2459 (1974).
P. V. Buividovich and V. I. Kuvshinov, “Asymptotic behavior of Wilson loops from Schrödinger equation on the gauge group,” Phys. Lett. B 634, 262–266 (2006).
V. I. Kuvshinov, “Confinement, decoherence, chaos, Higgs boson, entanglement and so on,” Nonlinear Phenom. Complex Syst. 16, 1–6 (2013).
V. I. Kuvshinov and A. V. Kuzmin, Gauge Fields and Theory of Deterministic Chaos (Beloruss. Nauka, Minsk, 2006) [in Russian].
V. I. Kuvshinov and P. V. Buividovich, “White mixed states in QCD stochastic vacuum,” Nonlinear Phenom. Complex Syst. 8, 313–316 (2005).
V. I. Kuvshinov and P. V. Buividovich, “Decoherence of quark colour states in QCD vacuum,” Acta Phys. Polon. B: Proc. Suppl. 1, 579–582 (2008).
V. I. Kuvshinov and E. G. Bagashov, “Evolution of colour superposition in the stochastic QCD vacuum,” Nonlinear Phenom. Complex Syst. 16, 242–246 (2013).
C. K. Zachos, “A classical bound on quantum entropy,” J. Phys. A: Math. Theor. 40, F407–F412 (2007).
V. I. Kuvshinov and E. G. Bagashov, “Confined and chaotic behaviour of quantum colour particles in QCD vacuum,” Nonlinear Phenom. Complex Syst. 18, 326–334 (2015).
A. Peres, “Stability of quantum motion in chaotic and regular systems,” Phys. Rev. A 30, 1610–1615 (1984).
V. I. Kuvshinov and A. V. Kuzmin, “Stability of holonomic quantum computations,” Phys. Lett. A 316, 391–394 (2003).
V. I. Kuvshinov and E. G. Bagashov, “Confinement of color states in a stochastic vacuum of quantum chromodynamics,” Theor. Math. Phys. 184, 1304–1310 (2015).
S. Ya. Kilin, “Quantum information,” Phys. Usp. 42, 435–452 (1999).
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Original Russian Text © V. Kuvshinov, E. Bagashov, 2016, published in Pis’ma v Zhurnal Fizika Elementarnykh Chastits i Atomnogo Yadra, 2016.
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Kuvshinov, V., Bagashov, E. Stochastic vacuum of quantum chromodynamics as an environment for color particles. Phys. Part. Nuclei Lett. 13, 295–297 (2016). https://doi.org/10.1134/S154747711603016X
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DOI: https://doi.org/10.1134/S154747711603016X