Topological properties of minimally doubled fermions in two space-time dimensions

Autor:	Dürr, Stephan, Weber, Johannes H.
Rok vydání:	2022
Předmět:	High Energy Physics - Lattice High Energy Physics - Theory
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevD.105.114511
Popis:	The two-dimensional Schwinger model is used to explore how lattice fermion operators perceive the global topological charge $q \in \mathbb{Z}$ of a given background gauge field. We focus on Karsten-Wilczek and Borici-Creutz fermions, which are minimally doubled, and compare them to Wilson, Brillouin, naive, staggered and Adams fermions. For each operator the eigenvalue spectrum in a background with $q \neq 0$ is determined along with the chiralities of the eigenmodes, and the spectral flow of the pertinent hermitean operator is worked out. We find that Karsten-Wilczek and Borici-Creutz fermions perceive the global topological charge $q$ in the same way as staggered and naive fermions do. Comment: 32 pages, 31 figures with 68 panels
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2203.15699 Zobrazit plný text záznamu View this record from Arxiv