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2017

Comparison of topological charge definitions in Lattice QCD

Alexandrou, Constantia, Athenodorou, Andreas, Cichy, Krzysztof et al.

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In this paper, we show a comparison of different definitions of the topological charge on the lattice.

We concentrate on one small-volume ensemble with 2 flavours of dynamical, maximally twisted mass fermions and use three more ensembles to analyze the approach to the continuum limit.
We investigate several fermionic and gluonic definitions.
The former include the index of the overlap Dirac operator, the spectral flow of the Wilson--Dirac operator and the spectral projectors.

Comparison of topological charge definitions in Lattice QCD · Around

Built on

M. F. Atiyah, R. Bott, The Yang-Mills equations over Riemann surfaces, Phil. Trans. Roy. Soc. Lond. A308 (1982) 523–615
1982
Earlier work this paper cites.
M. Kieburg, J. J. M. Verbaarschot and S. Zafeiropoulos, Eigenvalue Density of the non-Hermitian Wilson Dirac Operator, Phys. Rev. Lett. 108
Original
2012
Earlier work this paper cites.

Similar

M. Kieburg, J. J. M. Verbaarschot and S. Zafeiropoulos, Spectral Properties of the Wilson Dirac Operator and random matrix theory, Phys. Rev. D 88
2013
Cited alongside, same era.

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L. Giusti, Recent Progress on Chiral Symmetry Breaking in QCD, PoS LATTICE 2015
2016
Later among the works it cites.

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