New insight in the 2-flavor Schwinger model based on lattice simulations


  • Jaime Fabián Nieto Castellanos Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México
  • Wolfgang Bietenholz Instituto de Ciencias Nucleares, UNAM
  • Ivan Hip Faculty of Geotechnical Engineering, University of Zagreb, Croatia



Schwinger model, lattice gauge theory, finite temperature, chiral condensate, ±-regime, pion decay constant


We consider the Schwinger model with two degenerate, light fermion flavors by means of lattice simulations. At finite temperature, we probe the viability of a bosonization method by Hosotani {\it et al.} Next we explore an analogue to the pion decay constant, which agrees for independent formulations based on the Gell-Mann--Oakes--Renner relation, the 2-dimensional Witten--Veneziano formula and the $\delta$-regime. Finally we confront several conjectures about the chiral condensate with lattice results.


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How to Cite

Nieto Castellanos JF, Bietenholz W, Hip I. New insight in the 2-flavor Schwinger model based on lattice simulations. Supl. Rev. Mex. Fis. [Internet]. 2022 Mar. 31 [cited 2022 Jul. 2];3(2):020707 1-5. Available from: