Features of a 2d Gauge Theory with Vanishing Chiral Condensate

Abstract

The Schwinger model with $N_f\ge 2$ flavors is a simple example for a fermionic model with zero chiral condensate Sigma (in the chiral limit). We consider numerical data for two light flavors, based on simulations with dynamical chiral lattice fermions. We test properties and predictions that were put forward in the recent literature for models with Sigma = 0, which include IR conformal theories. In particular we probe the decorrelation of low lying Dirac eigenvalues, and we discuss the mass anomalous dimension and its IR extrapolation. Here we encounter subtleties, which may urge caution with analogous efforts in other models, such as multi-flavor QCD.

19 pages, LaTex, 6 figures, 5 tables, final version to appear in Int. J. Mod. Phys. C

References in corpus (8)

• The physics of eight flavours
• Nearly conformal gauge theories in finite volume
• Chiral symmetry breaking and the Banks--Casher relation in lattice QCD with Wilson quarks
• Scale-dependent mass anomalous dimension from Dirac eigenmodes
• Walking signals in Nf=8 QCD on the lattice
• Lattice study of infrared behaviour in SU(3) gauge theory with twelve massless flavours
• Overlap Hypercube Fermions in QCD Simulations Near the Chiral Limit
• Conformal Theories with an IR cutoff

Cited by in corpus (4)

• Anomalous dimensions on the lattice
• Quark mass anomalous dimension and ${\Lambda }_{\overline{\text{MS}}}$ from the twisted mass Dirac operator spectrum
• Bosonic Partition Functions at Nonzero (Imaginary) Chemical Potential
• Mass anomalous dimension of SU(2) with Nf=8 using the spectral density method