On Witten's global anomaly for higher SU(2) representations
O. Baer
Abstract
The spectral flow of the overlap operator is computed numerically along a path connecting two gauge fields which differ by a topologically non-trivial gauge transformation. The calculation is performed for SU(2) in the 3/2 and 5/2 representation. An even-odd pattern for the spectral flow as predicted by Witten is verified. The results are, however, more complicated than naively expected.
Create a lesson
Related papers
Computability of GPDs near x=ξ in Lattice QCD
Yushan Su, Xiangdong Ji, Yizhuang Liu et al.
Numerical Investigations of Phase Transitions in Lattice Field Theories
Vamika Longia
Symplectic lattice gauge theories in the Grid framework: domain wall fermions and continuum extrapolations
Ed Bennett, Peter A. Boyle, Luigi Del Debbio et al.
The soft-gluon limit of the Landau gauge ghost-gluon vertex: results for pure Yang-Mills SU(3) theory from lattice simulations
Nuno Brito, Orlando Oliveira, Paulo J. Silva
Testing strong isospin breaking effects in QCD thermodynamics
D. A. Clarke, B. B. Brandt
A Vector-Vector-Axial Anomaly in 4D
Evan Berkowitz, Shi Chen, Aleksey Cherman