Abstract
The classical equations of motion of the perfect lattice action in asymptotically free d=2 spin and d=4 gauge models possess scale invariant instanton solutions. This property allows the definition of a topological charge on the lattice which is perfect in the sense that no topological defects exist.The basic construction is illustrated in the d=2 O(3) non-linear {sigma}-model and the topological susceptibility is measured to high precision in the range of correlation lengths {xi} element of (2-60). Our results strongly suggest that the topological susceptibility is not a physical quantity in this model. ((orig.)).
Blatter, M;
[1]
Burkhalter, R;
[1]
Hasenfratz, P;
[1]
Niedermayer, F
[1]
- Bern Univ. (Switzerland). Inst. fuer Theoretische Physik
Citation Formats
Blatter, M, Burkhalter, R, Hasenfratz, P, and Niedermayer, F.
Perfect topological charge for asymptotically free theories.
Netherlands: N. p.,
1995.
Web.
doi:10.1016/0920-5632(95)00385-M.
Blatter, M, Burkhalter, R, Hasenfratz, P, & Niedermayer, F.
Perfect topological charge for asymptotically free theories.
Netherlands.
https://doi.org/10.1016/0920-5632(95)00385-M
Blatter, M, Burkhalter, R, Hasenfratz, P, and Niedermayer, F.
1995.
"Perfect topological charge for asymptotically free theories."
Netherlands.
https://doi.org/10.1016/0920-5632(95)00385-M.
@misc{etde_101049,
title = {Perfect topological charge for asymptotically free theories}
author = {Blatter, M, Burkhalter, R, Hasenfratz, P, and Niedermayer, F}
abstractNote = {The classical equations of motion of the perfect lattice action in asymptotically free d=2 spin and d=4 gauge models possess scale invariant instanton solutions. This property allows the definition of a topological charge on the lattice which is perfect in the sense that no topological defects exist.The basic construction is illustrated in the d=2 O(3) non-linear {sigma}-model and the topological susceptibility is measured to high precision in the range of correlation lengths {xi} element of (2-60). Our results strongly suggest that the topological susceptibility is not a physical quantity in this model. ((orig.)).}
doi = {10.1016/0920-5632(95)00385-M}
journal = []
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}
title = {Perfect topological charge for asymptotically free theories}
author = {Blatter, M, Burkhalter, R, Hasenfratz, P, and Niedermayer, F}
abstractNote = {The classical equations of motion of the perfect lattice action in asymptotically free d=2 spin and d=4 gauge models possess scale invariant instanton solutions. This property allows the definition of a topological charge on the lattice which is perfect in the sense that no topological defects exist.The basic construction is illustrated in the d=2 O(3) non-linear {sigma}-model and the topological susceptibility is measured to high precision in the range of correlation lengths {xi} element of (2-60). Our results strongly suggest that the topological susceptibility is not a physical quantity in this model. ((orig.)).}
doi = {10.1016/0920-5632(95)00385-M}
journal = []
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}