Nonlinear Phenomena in Complex Systems, 2010, Vol.13, No.2, pp.149-155

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2010, Vol.13, No.2, pp.149-155

Quantum Entanglement of Quark Colour States.
P. V. Buividovich and V. I. Kuvshinov

Quantum entanglement between the states of static quarks in the vacuum of pure Yang-Mills theory is analyzed. Hilbert space of physical states of the fields and the charges is endowed with a direct product structure by attaching an infinite Dirac string to each charge. Tracing out the gauge degrees of freedom yields the density matrix which depends on the ratio of Polyakov and Wilson loops spanned on quark worldlines. In the stringy picture of confinement, this ratio should deviate from unity due to quantum fluctuations of the confining string. We check numerically that such deviation is absent.
Key words: quantum chromodynamics, quarks, entanglement

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