Instantons in Two-Dimensional Noncommutative

U(1) Gauge Theory

Wolfgang Frisch1, Harald Grosse2, Harald Markum1, Florian Teischinger1

1 Atominstitut, Vienna University of Technology, Austria2 Department for Theoretical Physics, University of Vienna, Austria

W. Bietenholtz, F. Hofheinz, J. Nishimura, hep-lat/0209021

W. Bietenholtz, F. Hofheinz, J. Nishimura, hep-lat/0209021

Phase of complex Wilson loop

Instantons in 2-dimensional non-commutative U(1) theory and twisted Eguchi-Kawei model:

H. Aoki, J. Nishimura, Y. Susaki, hep-th/0602078

Current Studies

Development of strategies to obtain configurations with higher winding numbers at FIXED value of the action

Comparison of the topological content between the twisted Eguchi-Kawai model and the standard Eguchi-Kawai model

Possible Investigations

Topological structure of U(1) theory on a 4-dimensional non-commutative torus

Topology of Yang-Mills theory on the fuzzy sphere?