Contribution to a conference proceedings/Contribution to a book

FZJ-2023-00115

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Minimally doubled fermions and topology in 2D

Durr, S. (Corresponding author)FZJ* ; Weber, J. H.

2022
Sissa Medialab Trieste, Italy

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Please use a persistent id in citations: http://hdl.handle.net/2128/33394  doi:10.22323/1.396.0556

Abstract: We use the two-dimensional Schwinger model to investigate how lattice fermions perceive the global topological charge $q\in\mathbf{Z}$ of a given gauge background $U$. After a warm-up part devoted to staggered, Adams, Wilson and naive fermions, we consider Karsten-Wilczek and Borici-Creutz fermions, which are in the class of minimally doubled lattice fermion actions. We focus on the eigenvalue spectrum and the chiralities of the pertinent eigenmodes. Without modification both minimally doubled actions are found to be insensitive to topology, but in either case it is possible to define a suitable species-splitting term to make the resulting operator topology aware.

Note: 8 pages, 7 figures, talk given at the 38th International Symposium on Lattice Field Theory (LATTICE2021), 26th-30th July 2021, Zoom/Gather@Massachusetts Institute of Technology

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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 5111 - Domain-Specific Simulation & Data Life Cycle Labs (SDLs) and Research Groups (POF4-511) (POF4-511)

Appears in the scientific report 2022

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