Dynamical generation of fuzzy extra dimensions, dimensional reduction and symmetry breaking

Paolo Aschieri; Theodoros Grammatikopoulos; Harold Steinacker; George Zoupanos

doi:10.1088/1126-6708/2006/09/026

Dynamical generation of fuzzy extra dimensions, dimensional reduction and symmetry breaking

Paolo Aschieri
, Theodoros Grammatikopoulos
, Harold Steinacker
, George Zoupanos

Dipartimento di Scienze e Innovazione Tecnologica

Risultato della ricerca: Contributo su rivista › Articolo in rivista › peer review

Abstract

We present a renormalizable 4-dimensional SU(N) gauge theory with a suitable multiplet of scalar fields, which dynamically develops extra dimensions in the form of a fuzzy sphere S²_N. We explicitly find the tower of massive Kaluza-Klein modes consistent with an interpretation as gauge theory on M⁴ × S², the scalars being interpreted as gauge fields on S². The gauge group is broken dynamically, and the low-energy content of the model is determined. Depending on the parameters of the model the low-energy gauge group can be SU(n), or broken further to SU(n₁) × SU(n₂) × U(1), with mass scale determined by the size of the extra dimension.

Lingua originale	Inglese
Numero di articolo	026
Rivista	Journal of High Energy Physics
Volume	2006
Numero di pubblicazione	9
DOI	https://doi.org/10.1088/1126-6708/2006/09/026
Stato di pubblicazione	Pubblicato - 1 set 2006

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10.1088/1126-6708/2006/09/026

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abstract = "We present a renormalizable 4-dimensional SU(N) gauge theory with a suitable multiplet of scalar fields, which dynamically develops extra dimensions in the form of a fuzzy sphere S2N. We explicitly find the tower of massive Kaluza-Klein modes consistent with an interpretation as gauge theory on M4 × S2, the scalars being interpreted as gauge fields on S2. The gauge group is broken dynamically, and the low-energy content of the model is determined. Depending on the parameters of the model the low-energy gauge group can be SU(n), or broken further to SU(n1) × SU(n2) × U(1), with mass scale determined by the size of the extra dimension.",

keywords = "Field Theories in Higher Dimensions, Matrix Models, Non-Commutative Geometry, Spontaneous Symmetry Breaking",

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AU - Aschieri, Paolo

AU - Grammatikopoulos, Theodoros

AU - Steinacker, Harold

AU - Zoupanos, George

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Y1 - 2006/9/1

N2 - We present a renormalizable 4-dimensional SU(N) gauge theory with a suitable multiplet of scalar fields, which dynamically develops extra dimensions in the form of a fuzzy sphere S2N. We explicitly find the tower of massive Kaluza-Klein modes consistent with an interpretation as gauge theory on M4 × S2, the scalars being interpreted as gauge fields on S2. The gauge group is broken dynamically, and the low-energy content of the model is determined. Depending on the parameters of the model the low-energy gauge group can be SU(n), or broken further to SU(n1) × SU(n2) × U(1), with mass scale determined by the size of the extra dimension.

AB - We present a renormalizable 4-dimensional SU(N) gauge theory with a suitable multiplet of scalar fields, which dynamically develops extra dimensions in the form of a fuzzy sphere S2N. We explicitly find the tower of massive Kaluza-Klein modes consistent with an interpretation as gauge theory on M4 × S2, the scalars being interpreted as gauge fields on S2. The gauge group is broken dynamically, and the low-energy content of the model is determined. Depending on the parameters of the model the low-energy gauge group can be SU(n), or broken further to SU(n1) × SU(n2) × U(1), with mass scale determined by the size of the extra dimension.

KW - Field Theories in Higher Dimensions

KW - Matrix Models

KW - Non-Commutative Geometry

KW - Spontaneous Symmetry Breaking

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DO - 10.1088/1126-6708/2006/09/026

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VL - 2006

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 9

M1 - 026

ER -

Dynamical generation of fuzzy extra dimensions, dimensional reduction and symmetry breaking

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