Bergner, Georg and Piemonte, Stefano and Ünsal, Mithat (2024) Investigating two-dimensional adjoint QCD on the lattice. JOURNAL OF HIGH ENERGY PHYSICS (7): 48. ISSN 1029-8479
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We present our investigations of SU(N) adjoint QCD in two dimensions with one Majorana fermion on the lattice. We determine the relevant parameter range for the simulations with Wilson fermions and present results for Polyakov loop, chiral condensate, and string tension. In the theory with massive fermions, all observables we checked show qualitative agreement between numerical lattice data and theory, while the massless limit is more subtle since chiral and non-invertible symmetry of the continuum theory are explicitly broken by lattice regularization. In thermal compactification, we observe N perturbative vacua for the holonomy potential at high-T with instanton events connecting them, and a unique vacuum at low-T. At finite-N, this is a cross-over and it turns to a phase transition at large-N thermodynamic limit. In circle compactification with periodic boundary conditions, we observe a unique center-symmetric minimum at any radius. In continuum, the instantons in the thermal case carry zero modes (for even N) and indeed, in the lattice simulations, we observe that chiral condensate is dominated by instanton centers, where zero modes are localized. We present lattice results on the issue of confinement vs. screening in the theory and comment on the roles of chiral symmetry and non-invertible symmetry.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | YANG-MILLS THEORY; INSTANTONS; PHYSICS; Confinement; Field Theories in Lower Dimensions; Lattice Quantum Field Theory; Nonperturbative Effects |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 04 Dec 2025 07:49 |
| Last Modified: | 04 Dec 2025 07:49 |
| URI: | https://pred.uni-regensburg.de/id/eprint/64755 |
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