Speaker
Mr
Konstantinos Boutivas
(University of Athens)
Description
In this talk, I will examine the direct connection between entanglement entropy and the notion of irreversibility in the renormalization-group flow in the context of a simple free massive scalar theory. The change of the entanglement entropy for a spherical entangling surface as its radius grows from zero to infinity corresponds to the flow from the UV to the IR. I will provide details regarding the numerical and analytical computation of the entanglement entropy using correlation functions in order to deduce a c-function in 1 + 1 dimensions and an a-function in 3 + 1 dimensions. I will show that both these functions are monotonic and vary continuously between one and zero, as expected for this simple theory.
Authors
Mr
Konstantinos Boutivas
(University of Athens)
Prof.
Nikolaos Tetradis
(University of Athens)
Dr
Georgios Pastras
(University of Patras)
Dr
Dimitrios Katsinis
(University of Athens)