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<span style="margin: 0px; font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0); background-color: rgb(255, 255, 255);">Dear all,</span></div>
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<span style="font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0); background-color: rgb(255, 255, 255);">below you can find a reminder on tomorrow's seminar.</span></div>
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<span style="font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0); background-color: rgb(255, 255, 255);">Best regards,</span></div>
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<span style="font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0); background-color: rgb(255, 255, 255);">Carlota, Raza, Miguel</span></div>
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<span style="margin: 0px; font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0); background-color: rgb(255, 255, 255);">Date and time: Monday, Oct 7, 1:00PM</span></div>
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<span style="margin: 0px; font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0); background-color: rgb(255, 255, 255);">Room: F326</span></div>
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<span style="margin: 0px; font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0); background-color: rgb(255, 255, 255);">Speaker: Alex Kovner (U. Conn)</span></div>
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<span style="margin: 0px;"><span style="font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0); background-color: rgb(255, 255, 255);">Title: Color Glass condensate density matrix: Lindblad evolution, entanglement entropy,
Wigner wave functional and all that.”</span><span><br>
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<div><span style="font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0); background-color: rgb(255, 255, 255);">Abstract:</span><br>
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<div><span style="font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0); background-color: rgb(255, 255, 255);">We introduce the notion of the Color Glass Condensate (CGC) density matrix ˆρ. This generalizes the concept of
probability density for the distribution of the color charges in the hadronic wave function and is consistent with understanding the CGC as an effective theory after integration of part of the hadronic degrees of freedom. </span><br>
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<div><span style="font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0); background-color: rgb(255, 255, 255);">We derive the evolution equations for the density matrix and show that the JIMWLK evolution equation arises here
as the evolution of diagonal matrix elements of ˆρ in the color charge density basis. We analyze the behavior of this density matrix under high energy evolution and show that its purity decreases with energy. We show that the evolution equation for the density
matrix has the celebrated Kossakowsky-Lindblad form describing the non-unitary evolution of the density matrix of an open system. Additionally, we consider the dilute limit and demonstrate that, at large rapidity, the entanglement entropy of the density matrix
grows linearly with rapidity according to d/dy S = γ, where γ is the leading BFKL eigenvalue. We also discuss the evolution of ˆρ in the saturated regime and relate it to the Levin-Tuchin law and find that the entropy again grows linearly with rapidity, but
at a slower rate. By analyzing the dense and dilute regimes of the full density matrix we are able to establish a duality between the regimes. Finally we introduce the Wigner functional derived from this density matrix and discuss how it can be used to determine
the distribution of color currents, which may be instrumental in understanding dynamical features of QCD at high energy.</span></div>
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<span>Bluej</span><span style="font-size: medium; font-family: Arial, Helvetica, sans-serif">eans connection: </span><span style="font-size: medium; font-family: Arial, Helvetica, sans-serif; color: rgb(34, 34, 34);"><a href="https://bluejeans.com/610445877" target="_blank" style="color: rgb(17, 85, 204);"><span style="color: rgb(12, 100, 192);">https://bluejeans.<wbr>com/610445877</span></a></span><span style="font-size: medium; font-family: Arial, Helvetica, sans-serif; color: rgb(12, 100, 192);"> </span></div>
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