Standard model gauge fields localized on non-Abelian vortices in six dimensions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19630%2F21%3AA0000139" target="_blank" >RIV/47813059:19630/21:A0000139 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/68407700:21670/21:00355193

Výsledek na webu

<a href="https://academic.oup.com/ptep/article/2021/12/123B07/6415217" target="_blank" >https://academic.oup.com/ptep/article/2021/12/123B07/6415217</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1093/ptep/ptab144" target="_blank" >10.1093/ptep/ptab144</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Standard model gauge fields localized on non-Abelian vortices in six dimensions

Popis výsledku v původním jazyce

A brane-world SU(5) grand unified theory model with global non-Abelian vortices is constructed in six-dimensional spacetime. We find a solution with a vortex associated to SU(3) separated from another vortex associated to SU(2). This 3-2 split configuration achieves a geometric Higgs mechanism for SU(5) -&gt; SU(3) x SU(2) x U(1) symmetry breaking. A simple deformation potential induces a domain wall between non-Abelian vortices, leading to a linear confining potential. The confinement stabilizes the vortex separation moduli, and ensures the vorticities of the SU(3) and SU(2) groups are identical. This dictates the equality of the numbers of fermion zero modes in the fundamental representation of SU(3) (quarks) and SU(2) (leptons), leading to quark/lepton generations. The standard model massless gauge fields arc localized on the non-Abelian vortices thanks to a field-dependent gauge kinetic function. We perform fluctuation analysis with an appropriate gauge fixing and obtain a four-dimensional effective Lagrangian of unbroken and broken gauge fields at quadratic order. We find that SU(3) x SU(2) x U(1) gauge fields are localized on the vortices and exactly massless. Complications in analyzing the spectra of gauge fields with the nontrivial gauge kinetic function are neatly worked out by a vector-analysis-like method.

Název v anglickém jazyce

Standard model gauge fields localized on non-Abelian vortices in six dimensions

Popis výsledku anglicky

A brane-world SU(5) grand unified theory model with global non-Abelian vortices is constructed in six-dimensional spacetime. We find a solution with a vortex associated to SU(3) separated from another vortex associated to SU(2). This 3-2 split configuration achieves a geometric Higgs mechanism for SU(5) -&gt; SU(3) x SU(2) x U(1) symmetry breaking. A simple deformation potential induces a domain wall between non-Abelian vortices, leading to a linear confining potential. The confinement stabilizes the vortex separation moduli, and ensures the vorticities of the SU(3) and SU(2) groups are identical. This dictates the equality of the numbers of fermion zero modes in the fundamental representation of SU(3) (quarks) and SU(2) (leptons), leading to quark/lepton generations. The standard model massless gauge fields arc localized on the non-Abelian vortices thanks to a field-dependent gauge kinetic function. We perform fluctuation analysis with an appropriate gauge fixing and obtain a four-dimensional effective Lagrangian of unbroken and broken gauge fields at quadratic order. We find that SU(3) x SU(2) x U(1) gauge fields are localized on the vortices and exactly massless. Complications in analyzing the spectra of gauge fields with the nontrivial gauge kinetic function are neatly worked out by a vector-analysis-like method.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

10300 - Physical sciences

Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Progress of Theoretical and Experimental Physics

ISSN

2050-3911

e-ISSN

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Svazek periodika

2021

Číslo periodika v rámci svazku

12

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

32

Strana od-do

„123B07-1“-„123B07-32“

Kód UT WoS článku

000745946100017

EID výsledku v databázi Scopus

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