Anomaly flow by an Aharonov–Bohm phase

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21670%2F22%3A00358183" target="_blank" >RIV/68407700:21670/22:00358183 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1093/ptep/ptac052" target="_blank" >https://doi.org/10.1093/ptep/ptac052</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1093/ptep/ptac052" target="_blank" >10.1093/ptep/ptac052</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Anomaly flow by an Aharonov–Bohm phase

Popis výsledku v původním jazyce

In gauge-Higgs unification (GHU), gauge symmetry is dynamically broken by an Aharonov–Bohm (AB) phase, θH, in the fifth dimension. We analyze SU(2) GHU with an SU(2) doublet fermion in the flat M4 x (S1/Z2) spacetime and in the Randall–Sundrum (RS) warped space. With orbifold boundary conditions the U(1) part of gauge symmetry remains unbroken at θH = 0 and π. The fermion multiplet has chiral zero modes at θH = 0, which become massive at θH = π. In other words, chiral fermions are transformed to vector-like fermions by the AB phase θH. The chiral anomaly at θH = 0 continuously varies as θH, and vanishes at θH = π. We demonstrate this intriguing phenomenon in the RS space in which no level crossing occurs in the mass spectrum and everything varies smoothly. The flat spacetime limit is singular as the anti-de Sitter curvature of the RS space diminishes, and reproduces the result in the flat spacetime. Anomalies appear for various combinations of Kaluza–Klein excitation modes of gauge fields as well. Although the magnitude of the anomalies depends on θH and the warp factor of the RS space, it does not depend on the bulk mass parameter of the fermion field controlling its mass and wave function at general θH.

Název v anglickém jazyce

Anomaly flow by an Aharonov–Bohm phase

Popis výsledku anglicky

In gauge-Higgs unification (GHU), gauge symmetry is dynamically broken by an Aharonov–Bohm (AB) phase, θH, in the fifth dimension. We analyze SU(2) GHU with an SU(2) doublet fermion in the flat M4 x (S1/Z2) spacetime and in the Randall–Sundrum (RS) warped space. With orbifold boundary conditions the U(1) part of gauge symmetry remains unbroken at θH = 0 and π. The fermion multiplet has chiral zero modes at θH = 0, which become massive at θH = π. In other words, chiral fermions are transformed to vector-like fermions by the AB phase θH. The chiral anomaly at θH = 0 continuously varies as θH, and vanishes at θH = π. We demonstrate this intriguing phenomenon in the RS space in which no level crossing occurs in the mass spectrum and everything varies smoothly. The flat spacetime limit is singular as the anti-de Sitter curvature of the RS space diminishes, and reproduces the result in the flat spacetime. Anomalies appear for various combinations of Kaluza–Klein excitation modes of gauge fields as well. Although the magnitude of the anomalies depends on θH and the warp factor of the RS space, it does not depend on the bulk mass parameter of the fermion field controlling its mass and wave function at general θH.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10303 - Particles and field physics

Projekt

<a href="/cs/project/EF16_019%2F0000766" target="_blank" >EF16_019/0000766: Inženýrské aplikace fyziky mikrosvěta</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2022

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

2050-3911

Svazek periodika

2022

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

21

Strana od-do

1-21

Kód UT WoS článku

000783930500003

EID výsledku v databázi Scopus

2-s2.0-85130379046