[Theory-seminars] Seminar next week

[Carlota Andres Casas]

Dear all,

Here is a reminder for seminars next week:

Theory seminar:
Monday, Oct 7, 1:00PM, Room F326
Alex Kovner (U. Conn), Color Glass condensate density matrix: Lindblad evolution, entanglement entropy, Wigner wave functional and all that.”

Abstract:
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.
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.


Cake seminar:
Wednesday, Oct 9, 1:00PM, Room L102
Andrew Jackura, ''Finite-Volume Matrix Elements of Two-Hadron States''

Abstract:
A recent formalism has been developed that relates two-hadron infinite-volume form-factors to finite-volume matrix elements, which can be calculated from lattice QCD.  I will discuss features of this formalism, as well as various non-trivial checks in order to gain confidence that all finite-volume corrections are controlled. First, I will show that current conservation ensures the electric charge is independent of finite-volume corrections. Then, I will show that the formalism correctly recovers the form factors of bound states in the infinite-volume limit, and determine the leading finite-volume corrections. Finally, I will discuss the near threshold limit, and illustrate that it is crucial to use this formalism to avoid being overwhelmed by finite-volume systematics.

Bluejeans connection: https://bluejeans.com/610445877

Raza, Miguel, Carlota

--

Postdoctoral researcher
Theory Center - Jefferson Lab
12000 Jefferson Avenue,
Newport News, VA 23606 USA
CEBAF center, office A206

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