The large N limit of four dimensional Yang-Mills field coupled to adjoint fermions on a single site lattice

2009/11/30 by A. Hietanen, R. Narayanan · 30 citations
Physics and Astronomy · #Fermion #Gauge theory #High-Energy Particle Collisions Research #Lattice (music) #Lattice field theory #Lattice gauge theory #Limit (mathematics) #MAJORANA #Quantum Chromodynamics and Particle Interactions #Quantum field theory #Topological Materials and Phenomena #hep-lat #hep-th

paper · pdf · doi:10.1007/jhep01(2010)079

published in Journal of High Energy Physics 2010(1) (Springer Nature) · 21 pages, 13 figures; a reference added; version to be published in JHEP, small clarifications and references added

arxiv created 2009/12/15 · openalex publication_date 2010/01/01 · arxiv updated 2010/12/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We consider the large N limit of four dimensional SU(N) Yang-Mills field coupled to adjoint fermions on a single site lattice. We use perturbative techniques to show that the Z⁴_N center-symmetries are broken with naive fermions but they are not broken with overlap fermions. We use numerical techniques to support this result. Furthermore, we present evidence for a non-zero chiral condensate for one and two Majorana flavors at one value of the lattice gauge coupling.

Citations

• Large-NReduction in the Continuum Three-Dimensional Yang-Mills Theory
• Volume independence in largeNcQCD-like gauge theories
• Can fermions save large N dimensional reduction?