**Abstract: **I will discuss the pattern of symmetry breaking in the $\psi\chi\eta$ model (with the fermion sector containing one symmetric, one anti-symmetric, and eight fundamental Weyl fermions) on $\mathbb{R}^3 \times S^1$ and show its implications on $\mathbb{R}^4$ physics. Center-symmetric vacua are stabilized by a double-trace deformation. With the center symmetry maintained at small $L(S^1) \ll \Lambda^{-1}$, i.e., at weak coupling, no phase transitions are expected in passing to large $L(S^1) \gg \Lambda^{-1}$. Starting with the small-L limit, we find the leading-order nonperturbative corrections in the given theory. The instanton-monopole operators induce the non-vanishing adjoint chiral condensate at weak coupling. Then adiabatic continuity tells us that such condensate exists on $\mathbb{R}^4$, in full accord with the prediction from Phys. Rev. D 97, 094007 (2018). Simultaneously with $<\psi\chi> \sim \Lambda^3\delta^i_j$, the $SU(N_c)$ gauge symmetry is spontaneously broken at strong coupling down to its maximal tori.

# Symmetry breaking in chiral Yang-Mills theory

Speaker:

Chao-Hsiang Sheu

Institution:

University of Minnesota

Date:

Thursday, April 25, 2024

Time:

11:00 am

Location:

ISEB 1200

Host:

Yuri Shirman