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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)

Technical Report:

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.)
Authors:
Boenisch, R [1] 
  1. Deutsches Elektronen-Synchrotron (DESY), Zeuthen (Germany). Inst. fuer Hochenergiephysik
Publication Date:
Jul 01, 1994
Product Type:
Technical Report
Report Number:
DESY-94-129; HEP-TH-9407162
Reference Number:
SCA: 662210; PA: DEN-94:0FM581; EDB-95:017902; SN: 95001305300
Resource Relation:
Other Information: PBD: Jul 1994
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUANTUM FLAVORDYNAMICS; SYMMETRY BREAKING; CHIRAL SYMMETRY; CHIRALITY; EXPECTATION VALUE; STANDARD MODEL; HELICITY; HYPERCHARGE; IRREDUCIBLE REPRESENTATIONS; LEPTONS; MAGNETIC FIELDS; QUARKS; SU-2 GROUPS; U-1 GROUPS; WEINBERG LEPTON MODEL; VACUUM STATES; DEFORMATION; ISOSPIN; O GROUPS; TOPOLOGY; HIGGS MODEL; SCALAR FIELDS; 662210; UNIFIED THEORIES AND MODELS
OSTI ID:
10105621
Research Organizations:
Deutsches Elektronen-Synchrotron (DESY), Zeuthen (Germany). Inst. fuer Hochenergiephysik
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Journal ID: ISSN 0418-9833; Other: ON: DE95725965; TRN: DE94FM581
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
DEN
Size:
15 p.
Announcement Date:
Jun 30, 2005

Technical Report:

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}
}