Abstract
It is shown that perturbation theory in 2D nonlinear {sigma}-models as well gauge theories in dimension D{>=}2 produces answers that depend on boundary conditions even after the infinite volume limit has been taken. This unphysical phenomenon occurs only in the non-Abelian versions of those models, starting at O(1/{beta}{sup 2}). It is not present in the true (nonperturbatively defined) models and represents a failure of the perturbative method. It is related to a hitherto unnoticed type of low-lying excitation, dubbed super-instanton, that dominates the low-temperature (= weak coupling) regime of these models. ((orig.)).
Patrascioiu, A;
[1]
Seiler, E
[2]
- Arizona Univ., Tucson, AZ (United States). Dept. of Physics
- Max-Planck-Institut fuer Physik, Muenchen (Germany). Werner-Heisenberg-Institut
Citation Formats
Patrascioiu, A, and Seiler, E.
The perturbative method fails in non-Abelian models.
Netherlands: N. p.,
1995.
Web.
doi:10.1016/0920-5632(95)00393-N.
Patrascioiu, A, & Seiler, E.
The perturbative method fails in non-Abelian models.
Netherlands.
https://doi.org/10.1016/0920-5632(95)00393-N
Patrascioiu, A, and Seiler, E.
1995.
"The perturbative method fails in non-Abelian models."
Netherlands.
https://doi.org/10.1016/0920-5632(95)00393-N.
@misc{etde_101041,
title = {The perturbative method fails in non-Abelian models}
author = {Patrascioiu, A, and Seiler, E}
abstractNote = {It is shown that perturbation theory in 2D nonlinear {sigma}-models as well gauge theories in dimension D{>=}2 produces answers that depend on boundary conditions even after the infinite volume limit has been taken. This unphysical phenomenon occurs only in the non-Abelian versions of those models, starting at O(1/{beta}{sup 2}). It is not present in the true (nonperturbatively defined) models and represents a failure of the perturbative method. It is related to a hitherto unnoticed type of low-lying excitation, dubbed super-instanton, that dominates the low-temperature (= weak coupling) regime of these models. ((orig.)).}
doi = {10.1016/0920-5632(95)00393-N}
journal = []
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}
title = {The perturbative method fails in non-Abelian models}
author = {Patrascioiu, A, and Seiler, E}
abstractNote = {It is shown that perturbation theory in 2D nonlinear {sigma}-models as well gauge theories in dimension D{>=}2 produces answers that depend on boundary conditions even after the infinite volume limit has been taken. This unphysical phenomenon occurs only in the non-Abelian versions of those models, starting at O(1/{beta}{sup 2}). It is not present in the true (nonperturbatively defined) models and represents a failure of the perturbative method. It is related to a hitherto unnoticed type of low-lying excitation, dubbed super-instanton, that dominates the low-temperature (= weak coupling) regime of these models. ((orig.)).}
doi = {10.1016/0920-5632(95)00393-N}
journal = []
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}