Abstract
The minimal Standard Model exhibits a nontrivial chiral U(2) symmetry if the VEV and the hypercharge splitting {Delta}=(y{sub R}{sup u}-y{sub R}{sup d})/2 of right-handed leptons (quarks) in a family vanish and Q=T{sub 0}+Y independently in each helicity sector. As a generalization, we start with SU(2){sub L}xSU(2){sub R}xU(1){sub (B-L)} and introduce {Delta} as a continuous parameter which is a measure of explicit symmetry breakdown. Values 0{<=}{Delta}{<=}1/2 take the neutral generator of the isospin-1/2 representation to the singlet representation, i.e. `deformes` the LR representation into the minimal Standard one. The corresponding classical O(3)-breaking term is a magnetic field perpendicular to the x{sub 3}-axis. A simple mapping on the fundamental Drinfeld-Jimbo q-deformed SU(2) representation is given. (orig.)
Boenisch, R
[1]
- Deutsches Elektronen-Synchrotron (DESY), Zeuthen (Germany). Inst. fuer Hochenergiephysik
Citation Formats
Boenisch, R.
Transition from SU(2){sub L}xSU(2){sub R}xU(1){sub B-L} representation to SU(2){sub L}xU(1){sub Y}by q-deformation and the corresponding classical breaking term of chiral U(2).
Germany: N. p.,
1994.
Web.
Boenisch, R.
Transition from SU(2){sub L}xSU(2){sub R}xU(1){sub B-L} representation to SU(2){sub L}xU(1){sub Y}by q-deformation and the corresponding classical breaking term of chiral U(2).
Germany.
Boenisch, R.
1994.
"Transition from SU(2){sub L}xSU(2){sub R}xU(1){sub B-L} representation to SU(2){sub L}xU(1){sub Y}by q-deformation and the corresponding classical breaking term of chiral U(2)."
Germany.
@misc{etde_10105621,
title = {Transition from SU(2){sub L}xSU(2){sub R}xU(1){sub B-L} representation to SU(2){sub L}xU(1){sub Y}by q-deformation and the corresponding classical breaking term of chiral U(2)}
author = {Boenisch, R}
abstractNote = {The minimal Standard Model exhibits a nontrivial chiral U(2) symmetry if the VEV and the hypercharge splitting {Delta}=(y{sub R}{sup u}-y{sub R}{sup d})/2 of right-handed leptons (quarks) in a family vanish and Q=T{sub 0}+Y independently in each helicity sector. As a generalization, we start with SU(2){sub L}xSU(2){sub R}xU(1){sub (B-L)} and introduce {Delta} as a continuous parameter which is a measure of explicit symmetry breakdown. Values 0{<=}{Delta}{<=}1/2 take the neutral generator of the isospin-1/2 representation to the singlet representation, i.e. `deformes` the LR representation into the minimal Standard one. The corresponding classical O(3)-breaking term is a magnetic field perpendicular to the x{sub 3}-axis. A simple mapping on the fundamental Drinfeld-Jimbo q-deformed SU(2) representation is given. (orig.)}
place = {Germany}
year = {1994}
month = {Jul}
}
title = {Transition from SU(2){sub L}xSU(2){sub R}xU(1){sub B-L} representation to SU(2){sub L}xU(1){sub Y}by q-deformation and the corresponding classical breaking term of chiral U(2)}
author = {Boenisch, R}
abstractNote = {The minimal Standard Model exhibits a nontrivial chiral U(2) symmetry if the VEV and the hypercharge splitting {Delta}=(y{sub R}{sup u}-y{sub R}{sup d})/2 of right-handed leptons (quarks) in a family vanish and Q=T{sub 0}+Y independently in each helicity sector. As a generalization, we start with SU(2){sub L}xSU(2){sub R}xU(1){sub (B-L)} and introduce {Delta} as a continuous parameter which is a measure of explicit symmetry breakdown. Values 0{<=}{Delta}{<=}1/2 take the neutral generator of the isospin-1/2 representation to the singlet representation, i.e. `deformes` the LR representation into the minimal Standard one. The corresponding classical O(3)-breaking term is a magnetic field perpendicular to the x{sub 3}-axis. A simple mapping on the fundamental Drinfeld-Jimbo q-deformed SU(2) representation is given. (orig.)}
place = {Germany}
year = {1994}
month = {Jul}
}