Abstract
The authors construct, in the SU(2) Yang-Mills-Higgs theory of the electroweak interactions, a non-contractible loop of 4-dimensional configurations. Numerical results for the action over the loop show the existence of a new constrained instanton I* with action {approx} 16{pi}{sup 2}/g{sup 2} and zero topological charge. They also discuss the spectral flow of the Dirac operator along the loop and I* is expected to have fermion-zero modes. As a possible application the total B+L violating cross-section is considered, evaluated semiclassically from the imaginary part of the forward elastic scattering amplitude. The numerical results for I* indicate a threshold-like behaviour for non-perturbative effects at a parton center-of-mass energy close to the sphaleron energy E{sub S}{approx}10 TeV. (author). 31 refs.; 9 figs.
Klinkhamer, F R
[1]
- CHEAF, Amsterdam (Netherlands)
Citation Formats
Klinkhamer, F R.
On the existence of a new constrained instanton and high-energy electroweak interactions.
Netherlands: N. p.,
1991.
Web.
Klinkhamer, F R.
On the existence of a new constrained instanton and high-energy electroweak interactions.
Netherlands.
Klinkhamer, F R.
1991.
"On the existence of a new constrained instanton and high-energy electroweak interactions."
Netherlands.
@misc{etde_10111577,
title = {On the existence of a new constrained instanton and high-energy electroweak interactions}
author = {Klinkhamer, F R}
abstractNote = {The authors construct, in the SU(2) Yang-Mills-Higgs theory of the electroweak interactions, a non-contractible loop of 4-dimensional configurations. Numerical results for the action over the loop show the existence of a new constrained instanton I* with action {approx} 16{pi}{sup 2}/g{sup 2} and zero topological charge. They also discuss the spectral flow of the Dirac operator along the loop and I* is expected to have fermion-zero modes. As a possible application the total B+L violating cross-section is considered, evaluated semiclassically from the imaginary part of the forward elastic scattering amplitude. The numerical results for I* indicate a threshold-like behaviour for non-perturbative effects at a parton center-of-mass energy close to the sphaleron energy E{sub S}{approx}10 TeV. (author). 31 refs.; 9 figs.}
place = {Netherlands}
year = {1991}
month = {Jun}
}
title = {On the existence of a new constrained instanton and high-energy electroweak interactions}
author = {Klinkhamer, F R}
abstractNote = {The authors construct, in the SU(2) Yang-Mills-Higgs theory of the electroweak interactions, a non-contractible loop of 4-dimensional configurations. Numerical results for the action over the loop show the existence of a new constrained instanton I* with action {approx} 16{pi}{sup 2}/g{sup 2} and zero topological charge. They also discuss the spectral flow of the Dirac operator along the loop and I* is expected to have fermion-zero modes. As a possible application the total B+L violating cross-section is considered, evaluated semiclassically from the imaginary part of the forward elastic scattering amplitude. The numerical results for I* indicate a threshold-like behaviour for non-perturbative effects at a parton center-of-mass energy close to the sphaleron energy E{sub S}{approx}10 TeV. (author). 31 refs.; 9 figs.}
place = {Netherlands}
year = {1991}
month = {Jun}
}