# Probing renormalization group flows using entanglement entropy

### APA

Mezei, M. (2014). Probing renormalization group flows using entanglement entropy. Perimeter Institute. https://pirsa.org/14040144

### MLA

Mezei, Mark. Probing renormalization group flows using entanglement entropy. Perimeter Institute, Apr. 30, 2014, https://pirsa.org/14040144

### BibTex

@misc{ pirsa_PIRSA:14040144, doi = {10.48660/14040144}, url = {https://pirsa.org/14040144}, author = {Mezei, Mark}, keywords = {Quantum Fields and Strings}, language = {en}, title = {Probing renormalization group flows using entanglement entropy}, publisher = {Perimeter Institute}, year = {2014}, month = {apr}, note = {PIRSA:14040144 see, \url{https://pirsa.org}} }

Massachusetts Institute of Technology (MIT)

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Abstract

The entanglement entropy of the vacuum of a quantum field theory contains information about physics at all scales and is UV sensitive. A simple refinement of entanglement entropy gets rid of its UV divergence, and allows us to extract entanglement per scale. In two and three spacetime dimensions this quantity can be used as a proxy for the number of degrees of freedom, as it decreases under RG flow. We investigate its behavior around fixed points, and reveal its interesting analytic structure in the space of couplings.