Abstract
By allowing the gauge field elements in the 2 x 2 matrix connection to be described by the noncommutative algebra of forms, the bosonic sector of SU(2) cross product SU(2) cross product U(1) models can be reproduced which incorporates an extended Higgs sector necessary to produce parity violating minima. Furthermore, the symmetry breaking scheme can be adjusted within this geometrical approach so as to fine tune the model. Without the additional Higgs fields provided by the extended algebra of forms on each copy of space-time, such a left-right symmetric model could not be considered. By including such fields, full use can be made of the 2 x 2 matrix connection allowing the Z{sub 2} graded symmetry provided by such a model to be utilized. The form of the Higgs potential is such that many gauge invariant terms do not appear, thus reducing the complexity of the most general models. That Higgs fields may be intimately connected with Grassmannian coordinates provides a possible avenue for further investigation into such unified geometrical approaches. 9 refs.
Citation Formats
Hanlon, B E, and Joshi, G C.
A non-commutative geometric approach to left-right symmetric weak interactions.
Australia: N. p.,
1992.
Web.
Hanlon, B E, & Joshi, G C.
A non-commutative geometric approach to left-right symmetric weak interactions.
Australia.
Hanlon, B E, and Joshi, G C.
1992.
"A non-commutative geometric approach to left-right symmetric weak interactions."
Australia.
@misc{etde_10144798,
title = {A non-commutative geometric approach to left-right symmetric weak interactions}
author = {Hanlon, B E, and Joshi, G C}
abstractNote = {By allowing the gauge field elements in the 2 x 2 matrix connection to be described by the noncommutative algebra of forms, the bosonic sector of SU(2) cross product SU(2) cross product U(1) models can be reproduced which incorporates an extended Higgs sector necessary to produce parity violating minima. Furthermore, the symmetry breaking scheme can be adjusted within this geometrical approach so as to fine tune the model. Without the additional Higgs fields provided by the extended algebra of forms on each copy of space-time, such a left-right symmetric model could not be considered. By including such fields, full use can be made of the 2 x 2 matrix connection allowing the Z{sub 2} graded symmetry provided by such a model to be utilized. The form of the Higgs potential is such that many gauge invariant terms do not appear, thus reducing the complexity of the most general models. That Higgs fields may be intimately connected with Grassmannian coordinates provides a possible avenue for further investigation into such unified geometrical approaches. 9 refs.}
place = {Australia}
year = {1992}
month = {Dec}
}
title = {A non-commutative geometric approach to left-right symmetric weak interactions}
author = {Hanlon, B E, and Joshi, G C}
abstractNote = {By allowing the gauge field elements in the 2 x 2 matrix connection to be described by the noncommutative algebra of forms, the bosonic sector of SU(2) cross product SU(2) cross product U(1) models can be reproduced which incorporates an extended Higgs sector necessary to produce parity violating minima. Furthermore, the symmetry breaking scheme can be adjusted within this geometrical approach so as to fine tune the model. Without the additional Higgs fields provided by the extended algebra of forms on each copy of space-time, such a left-right symmetric model could not be considered. By including such fields, full use can be made of the 2 x 2 matrix connection allowing the Z{sub 2} graded symmetry provided by such a model to be utilized. The form of the Higgs potential is such that many gauge invariant terms do not appear, thus reducing the complexity of the most general models. That Higgs fields may be intimately connected with Grassmannian coordinates provides a possible avenue for further investigation into such unified geometrical approaches. 9 refs.}
place = {Australia}
year = {1992}
month = {Dec}
}