1–3 Oct 2025
FORTH
Europe/Athens timezone

Computing c- and a-functions from entanglement

2 Oct 2025, 12:00
30m
“A. Payatakes” Meeting Room (1st floor) (FORTH)

“A. Payatakes” Meeting Room (1st floor)

FORTH

Foundation for Research and Technology - Hellas 100 Nikolaou Plastira str. Vassilika Vouton Heraklion, Crete GR 700 13 Greece Tel.: +30 2810 391500-2 Fax: +30 2810 391555 E-mail: central@admin.forth.gr

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)

Presentation materials

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