Lattice study of UA(1) anomaly: the role of QCD-monopoles
Abstract
We investigate the role of QCD-monopoles for the UA(1) anomaly in the maximally abelian gauge within the SU(2) lattice gauge theory. The existence of the strong correlation between instantons and QCD-monopoles in the abelian gauge was already shown by both analytic and numerical works including the Monte Carlo simulation. Their interrelation brings us a conjecture that the presence of QCD-monopoles plays a considerable role on the UA(1) anomaly. We find an evidence for our conjecture on a determination of the fermionic zero modes of the Dirac operator in both the ``monopole removed'' gauge configuration and the ``photon removed'' gauge configuration.
- Publication:
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Physics Letters B
- Pub Date:
- December 1998
- DOI:
- 10.1016/S0370-2693(98)01318-5
- arXiv:
- arXiv:hep-lat/9810039
- Bibcode:
- 1998PhLB..443..331S
- Keywords:
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- High Energy Physics - Lattice
- E-Print:
- 15 pages, REVTeX, 12 figures included, accepted for publication in Physics Letters B