# Confinement at Negative Curvature

- Institution: CERN
- Speaker: Victor Gorbenko
- Year: 2026
- Language: English
- Source: [CERN](https://videos.cern.ch/record/3025486)
- Licence: [CERN](https://copyright.web.cern)
- Who can watch: Teens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

I will discuss the progress on understanding the structure of confining flux tubes in QCD and related gauge theories. In the first part of the talk I will review prior results which use effective field theory techniques and compare them with the lattice data. In particular, I will emphasize a pseudoscalar massive mode which plays an important role in the flux tube dynamics. In the second part I will switch to very recent and ongoing work in which we place a gauge theory on hyperbolic space to regulate IR divergences. At large curvature radius we recover flat space. At small radius gauge theory is perturbative, however, flux is still confined to a line due to gravitational potential induced by curvature. By changing the radius we can interpolate between the two regimes without running into a phase transition.

00:00:00 Slide 1

00:02:16 Slide 2

00:02:40 Slide 3

00:02:58 Slide 4

00:22:58 Slide 5

00:24:59 Slide 6

00:26:59 Slide 7

00:28:59 Slide 8

00:30:59 Slide 9

00:32:59 Slide 10

00:34:59 Slide 11

00:36:59 Slide 12

00:38:59 Slide 13

00:40:59 Slide 14

00:42:59 Slide 15

00:44:59 Slide 16

00:46:59 Slide 17

00:48:59 Slide 18

00:50:59 Slide 19

00:52:59 Slide 20

00:54:59 Slide 21

00:55:13 Slide 22

00:55:28 Slide 23

00:56:10 Slide 24

00:56:22 Slide 25

00:58:00 Slide 26

00:58:13 Slide 27

00:59:47 Slide 28

01:00:00 Slide 29

01:06:25 Slide 30

## Lectures

1. [Confinement at Negative Curvature](https://invisiblenetwork.ai/learn/cern/3025486/9c1111dfa4dd), 1 h 11 min (CERN's player)
