Resolution of the U(1) Problem by Lattice Gauge Theory
The U(1) problem is a longstanding problem and the main motivation to study topological properties of SU(3) lattice gauge theory. In this seminar I will quickly review (one way of stating) the U(1) problem and point out the first indications towards the solution of it. A slightly different presentation is given by Fröhlich elsewhere in these proceedings. Then I will discuss an approximation that makes the problem accessible to calculations in pure gauge theory (i.e. without dynamical fermions). Subsequently the results of SU(3) lattice calculations will be reviewed, and their results presented as the resolution of the U(1) problem.
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- 3.J. Smit: Talk at the 1986 Coseners House meeting on Lattice Gauge TheoryGoogle Scholar
- 7.Y. Arian and P. Woit: Topological Susceptibility in SU(3) Lattice Gauge Theory, SUNY preprint (1986)Google Scholar
- 10.M. Gockeler, A.S. Kronfeld, M.L. Laursen, G. Schierholz, U.-J. Wiese: Topology in SU(3) Lattice Gauge Theory: First Calculation of the Topological Susceptibility, preprint DESY 86–107Google Scholar
- 11.J. Hoek: Long Timeseale Correlations in Topological Quantities, preprint UMSI 87/6, to appear in Phys. Lett. BGoogle Scholar