Aug 8 – 13, 2022
Hörsaalzentrum Poppelsdorf
Europe/Berlin timezone

Probing center vortices and deconfinement in SU(2) lattice gauge theory with persistent homology

Aug 8, 2022, 3:20 PM
20m
CP1-HSZ/1st-1.001 - HS5 (CP1-HSZ)

CP1-HSZ/1st-1.001 - HS5

CP1-HSZ

50
Oral Presentation Theoretical Developments and Applications beyond Particle Physics Theoretical Developments

Speaker

Nicholas Sale (Swansea University)

Description

Topological Data Analysis (TDA) is a field that leverages tools and ideas from algebraic topology to provide robust methods for analysing geometric and topological aspects of data. One of the principal tools of TDA, persistent homology, produces a quantitative description of how the connectivity and structure of data changes when viewed over a sequence of scales. We propose that this presents a means to directly probe topological objects in gauge theories. In this talk I will present recent work on using persistent homology to detect center vortices in SU(2) lattice gauge theory configurations in a gauge-invariant manner. I will introduce the basics of persistence, describe our construction, and demonstrate that the result is sensitive to vortices. Moreover, I will discuss how with simple machine learning, one can use the resulting persistence to quantitatively analyse the deconfinement transition via finite-size scaling, providing evidence on the role of vortices in relation to confinement in Yang-Mills theories.

Primary authors

Nicholas Sale (Swansea University) Prof. Biagio Lucini (Swansea University) Prof. Jeffrey Giansiracusa (Durham University)

Presentation materials