An Interdisciplinary Journal

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

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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Last updated: *July 28, 2010*