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External-Internal Group Quotient Structure for the Standard Model in Analogy to General Relativity

Identifieur interne : 001785 ( Main/Merge ); précédent : 001784; suivant : 001786

External-Internal Group Quotient Structure for the Standard Model in Analogy to General Relativity

Auteurs : Heinrich Saller

Source :

RBID : ISTEX:B04F8EC9B85F16C326E75C56D978F24DD7964E55

Abstract

Abstract: In analogy to the class structure $$GL{(}\mathbb{R}^4 {)/}O{(1,3)}$$ for generalrelativity with a local Lorentz group as stabilizer anda basic tetrad field for the parametrization, acorresponding class structure $$GL{(}\mathbb{C}^2 {)/}U{(2)}$$ is investigated for the standard model with alocal hyperisospin group U(2). The lepton, quark,Higgs, and gauge fields used in the standard modelcannot be basic in a coset interpretation; they may to be taken as first-order terms in a flatspacetime, particle-oriented expansion of a basic field(as the analogue to the tetrad) and itsproducts.

Url:
DOI: 10.1023/A:1026610924096

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ISTEX:B04F8EC9B85F16C326E75C56D978F24DD7964E55

Le document en format XML

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<div type="abstract" xml:lang="en">Abstract: In analogy to the class structure $$GL{(}\mathbb{R}^4 {)/}O{(1,3)}$$ for generalrelativity with a local Lorentz group as stabilizer anda basic tetrad field for the parametrization, acorresponding class structure $$GL{(}\mathbb{C}^2 {)/}U{(2)}$$ is investigated for the standard model with alocal hyperisospin group U(2). The lepton, quark,Higgs, and gauge fields used in the standard modelcannot be basic in a coset interpretation; they may to be taken as first-order terms in a flatspacetime, particle-oriented expansion of a basic field(as the analogue to the tetrad) and itsproducts.</div>
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