28 July 2024 to 3 August 2024
Europe/London timezone

The gluino condensate of large-$N$ SUSY Yang–Mills

29 Jul 2024, 11:15
20m
Talk Vacuum Structure and Confinement Vacuum structure and confinement

Speaker

Claudio Bonanno (IFT UAM/CSIC Madrid)

Description

We present the first lattice determination of the SUSY SU($N$) Yang–Mills gluino condensate at large $N$. We exploit large-$N$ twisted volume reduction, and present two determinations based on the Banks–Casher relation and on a Gell-Mann–Oakes–Renner-like formula, both giving perfectly compatible results. By expressing the lattice results in the Novikov–Shifman–Vainshtein–Zakharov (NSVZ) scheme, we are able for the first time to compare lattice and analytical computations, resolving a 40-year-long debate about the actual value and $N$-dependence of the gluino condensate.

Primary authors

Claudio Bonanno (IFT UAM/CSIC Madrid) Pietro Butti (University of Zaragoza) Margarita Garcia Perez (Instituto de Fisica Teorica UAM-CSIC) Antonio Gonzalez-Arroyo (Instituto de Fisica Teorica UAM/CSIC) Ken-Ichi Ishikawa (Hiroshima University) Masanori Okawa (Hiroshima University)

Presentation materials