RBRC Seminar

"Quark and gluon entanglement in the light-front wave function of the proton at moderate x"

Presented by Adrian Dumitru, Dept. of Natural Sciences, Baruch College (CUNY)

Thursday, May 19, 2022, 12:30 pm — Videoconference / Virtual Event (see link below)

Abstract: The entanglement of small-x gluons in the light-front wave function of the proton has recently received much attention. In this talk we shall focus instead on the regime of moderate x where the proton may be dominated by an effective, non-perturbative 3-quark Fock state, plus corrections from the |qqqg> Fock state.

We point out that color degrees of freedom in the |qqq> state are
maximally entangled. On the other hand, for N_c —> infinity the
spatial wave function of the proton factorizes into valence quark wave functions determined by a mean field (E. Witten, Nucl. Phys. B 160(1979) p. 57), and there is no entanglement of spatial degrees of freedom. A model calculation at Nc=3, using a well known valence quark light-front wave function by Brodsky and Schlumpf, predicts percent level entanglement of spatial degrees of freedom.

Using light-cone perturbation theory we also obtain the qqqg wave function and the associated density matrix. Tracing out the quarks, we derive the reduced density matrix for the degrees of freedom of the gluon. This density matrix again predicts maximal entanglement of gluon color but also indicates stronger entanglement of (some of) the gluon spatial degrees of freedom than for quarks in the |qqq> state.

Hosted by: Vladi Skokov

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