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000916811 0247_ $$2doi$$a10.1103/PhysRevD.105.114511
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000916811 0247_ $$2ISSN$$a1538-4500
000916811 0247_ $$2ISSN$$a1550-2368
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000916811 0247_ $$2ISSN$$a2470-0010
000916811 0247_ $$2ISSN$$a2470-0029
000916811 0247_ $$2arXiv$$aarXiv:2203.15699
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000916811 1001_ $$0P:(DE-Juel1)132580$$aDürr, Stephan$$b0$$eCorresponding author
000916811 245__ $$aTopological properties of minimally doubled fermions in two spacetime dimensions
000916811 260__ $$aMelville, NY$$bInst.$$c2022
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000916811 520__ $$aThe two-dimensional Schwinger model is used to explore how lattice fermion operators perceive the global topological charge $q \in \mathbb{Z}$ of a given background gauge field. We focus on Karsten-Wilczek and Borici-Creutz fermions, which are minimally doubled, and compare them to Wilson, Brillouin, naive, staggered and Adams fermions. For each operator the eigenvalue spectrum in a background with $q \neq 0$ is determined along with the chiralities of the eigenmodes, and the spectral flow of the pertinent hermitean operator is worked out. We find that Karsten-Wilczek and Borici-Creutz fermions perceive the global topological charge $q$ in the same way as staggered and naive fermions do.
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000916811 588__ $$aDataset connected to arXivarXiv, CrossRef, Journals: juser.fz-juelich.de
000916811 7001_ $$00000-0002-2336-1541$$aWeber, Johannes H.$$b1
000916811 77318 $$2Crossref$$3journal-article$$a10.1103/physrevd.105.114511$$bAmerican Physical Society (APS)$$d2022-06-27$$n11$$p114511$$tPhysical Review D$$v105$$x2470-0010$$y2022
000916811 773__ $$0PERI:(DE-600)2844732-3$$a10.1103/PhysRevD.105.114511$$gVol. 105, no. 11, p. 114511$$n11$$p114511$$tPhysical review / D$$v105$$x2470-0010$$y2022
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000916811 999C5 $$1J. H. Weber$$2Crossref$$oJ. H. Weber