High Energy Physics ONLINE Seminar next week (Wong)

[HECAP - Margherita Di Giovannantonio]

*_HIGH ENERGY PHYSICS SEMINARS_**__*


*Tuesday, 18 June* 2024, at *16:00* - *ON LINE ONLY*
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Gabriel Wong (Mathematical Institute, Oxford University)

*“Dynamical Edge Modes and Entanglement in Maxwell Theory"*


_Abstract_

Defining subregion physics in gauge theory is tricky due to the presence 
of gauge constraints that connect a subregion with its complement. This 
presents an obstruction to computing quantum information theoretic 
quantities like entanglement entropy, which require a well defined 
reduced density matrix. One way to deal with this obstruction involves 
the introduction of edge modes at the entangling surface, which breaks 
the problematic gauge constraints.  We revisit the analysis of these 
"entanglement" edge modes and explain their dynamical origin. We 
identify a local and "shrinkable'' boundary condition  that gives rise 
to such degrees of freedom. They can be interpreted as the Goldstone 
bosons of gauge transformations supported on the boundary, with the 
electric field component normal to the boundary as their symplectic 
conjugate.  We show that both the symplectic form and Hamiltonian 
exhibit a bulk-edge split, and that the thermal edge partition function 
is that of a codimension-two ghost scalar living on the horizon.  The 
corresponding thermal entropy gives an entanglement entropy across the 
horizon that is consistent with the conformal anomaly.

*To join via Zoom*:

https://zoom.us/j/99492282776

Meeting ID: 994 9228 2776

Passcode: 963872