2005/10/31 by Michele Della Morte, Magdalena Luz
Mathematics · Physics and Astronomy · #Chiral anomaly #Chiral symmetry breaking #Chirality (physics) #Cutoff #Degenerate energy levels #Explicit symmetry breaking #Fermion #Gauge theory #High-Energy Particle Collisions Research #Lattice (music) #Mathematical physics #Mathematics #Nambu–Jona-Lasinio model #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scaling #Scaling limit #Spontaneous symmetry breaking #Symmetry breaking #Theoretical physics #hep-lat
paper · pdf · doi:10.1016/j.physletb.2005.11.036
published as Phys.Lett. B632 (2006) 663-666 · 8 pages, 2 figures. Eq. 9 corrected, accepted for publication in Physics Letters B
arxiv created 2005/11/14 · openalex publication_date 2005/11/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We simulate two-dimensional QED with two degenerate Wilson fermions and plaquette gauge action. As a consequence of the Mermin–Wagner theorem, in the continuum limit chiral symmetry is realized à la Wigner. This property affects also the size of the cutoff effects. That can be understood in view of the fact that the leading lattice artifacts are described, in the continuum Symanzik effective theory, by chirality breaking terms. In particular, vacuum expectation values of non-chirality-breaking operators are expected to be O ( a ) improved in the chiral limit. We provide a numerical confirmation of this expectation by performing a scaling test.