Abstract
It is shown numerically that the lowest and the highest eigenmodes of the covariant Laplace-operator in an SU(2) gauge field are strongly localized. This phenomenon is explained by connecting it to the well-known Anderson localization problem (electron moving in a random potential). The role of the potential is played by a gauge invariant quantity, the sum over the field strengths of all plaquettes touching a point. Localization for the Dirac-operator is also discussed. ((orig.)).
Baeker, M
[1]
- Hamburg Univ. (Germany). 2. Inst. fuer Theoretische Physik
Citation Formats
Baeker, M.
Localization in lattice gauge theory.
Netherlands: N. p.,
1995.
Web.
doi:10.1016/0920-5632(95)00400-4.
Baeker, M.
Localization in lattice gauge theory.
Netherlands.
https://doi.org/10.1016/0920-5632(95)00400-4
Baeker, M.
1995.
"Localization in lattice gauge theory."
Netherlands.
https://doi.org/10.1016/0920-5632(95)00400-4.
@misc{etde_101034,
title = {Localization in lattice gauge theory}
author = {Baeker, M}
abstractNote = {It is shown numerically that the lowest and the highest eigenmodes of the covariant Laplace-operator in an SU(2) gauge field are strongly localized. This phenomenon is explained by connecting it to the well-known Anderson localization problem (electron moving in a random potential). The role of the potential is played by a gauge invariant quantity, the sum over the field strengths of all plaquettes touching a point. Localization for the Dirac-operator is also discussed. ((orig.)).}
doi = {10.1016/0920-5632(95)00400-4}
journal = []
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}
title = {Localization in lattice gauge theory}
author = {Baeker, M}
abstractNote = {It is shown numerically that the lowest and the highest eigenmodes of the covariant Laplace-operator in an SU(2) gauge field are strongly localized. This phenomenon is explained by connecting it to the well-known Anderson localization problem (electron moving in a random potential). The role of the potential is played by a gauge invariant quantity, the sum over the field strengths of all plaquettes touching a point. Localization for the Dirac-operator is also discussed. ((orig.)).}
doi = {10.1016/0920-5632(95)00400-4}
journal = []
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}