The 39th International Symposium on Lattice Field Theory (Lattice 2022)

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

Adjoint fermions at large-$N_c$ on the lattice

Aug 10, 2022, 3:00 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

Speaker

Pietro Butti (IFT UAM-CSIC Madrid)

Description

Lattice simulations of Yang-Mills theories coupled with $N_f$ flavours of fermions in the adjoint representation provide a way to probe the non-perturbative regime of a plethora of different physical scenarios, such as Supersymmetric Yang-Mills theory to BSM models. Although the large-$N_c$ limit of these theories can give important insight into the strongly coupled regime of these models, the computational cost of standard lattice simulations involving dynamical adjoint fermions forces one to small-$N_c$ gauge groups. In this talk I am going to present how this large-$N_c$ limit is tackled on the lattice by exploiting volume reduction through twisted boundary conditions, which allows one to simulate these theories at high values of $N_c$ such as 289,361. I will emphasise our most recent results on Yang-Mills theory coupled with one Majorana adjoint fermions ($N_f=\frac{1}{2}$), which corresponds to $\mathcal{N}=1$ SUSY Yang-Mills.

Primary authors

Antonio Gonzalez-Arroyo (IFT, UAM) Margarita García Pérez (IFT UAM-CSIC, CSIC) Pietro Butti (IFT UAM-CSIC Madrid) Ken-Ichi Ishikawa (Hiroshima University) Masanori Okawa (Hiroshima University)