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Features of a 2d gauge theory with vanishing chiral condensate

David Landa-Marbán, Wolfgang Bietenholz and Ivan Hip
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David Landa-Marbán: Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, A.P. 70-543, C.P. 04510 Distrito Federal, Mexico
Wolfgang Bietenholz: Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, A.P. 70-543, C.P. 04510 Distrito Federal, Mexico
Ivan Hip: Faculty of Geotechnical Engineering, University of Zagreb, Hallerova aleja 7, 42000 Varaždin, Croatia

International Journal of Modern Physics C (IJMPC), 2014, vol. 25, issue 10, 1-15

Abstract: The Schwinger model withNf≥ 2flavors is a simple example for a fermionic model with zero chiral condensate Σ (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 Σ = 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.

Keywords: Schwinger model; Dirac spectrum; mass anomalous dimension; 11.10Kk; 11.15.Ha; 11.30.Rd (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1142/S012918311450051X

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