On correlation inequalities for non-Abelian spin systems and lattice gauge theories

Jul 29, 2025, 3:00 PM
1h
Poppelsdorfer Allee 45, 1. EG, Lecture room (HIM)

Poppelsdorfer Allee 45, 1. EG, Lecture room

HIM

Scheduled Talks

Speaker

Dr Abdelmalek Abdesselam (University of Virginia)

Description

I will present a conjecture about inequalities for correlations of invariant observables in non-Abelian spin systems, and lattice gauge theories. These inequalities are expressed in terms of the non-interacting probability measure, but they would imply the analogue of the GKS inequality at non-zero coupling. A test of the conjectured inequalities is when integrands are taken to a large power. In that regime, one can prove the conjectured inequalities.
This talk is partly about joint work with Gennady Uraltsev and Joe Webster.

Author

Dr Abdelmalek Abdesselam (University of Virginia)

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