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

Paolo Aschieri | Zendy; Theodoros Grammatikopoulos | Zendy; Harold Steinacker | Zendy; George Zoupanos | Zendy

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

Author(s) -

Paolo Aschieri,

Theodoros Grammatikopoulos,

Harold Steinacker,

George Zoupanos

Publication year - 2006

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

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

Subject(s) - physics , multiplet , extra dimensions , symmetry breaking , dimensional reduction , gauge group , hamiltonian lattice gauge theory , gauge theory , theoretical physics , scalar (mathematics) , gauge symmetry , tower , mathematical physics , fuzzy sphere , gauge (firearms) , quantum mechanics , mathematics , geometry , noncommutative geometry , spectral line , civil engineering , archaeology , engineering , history

We present a renormalizable 4-dimensional SU(N) gauge theory with a suitablemultiplet of scalar fields, which dynamically develops extra dimensions in theform of a fuzzy sphere S^2. We explicitly find the tower of massiveKaluza-Klein modes consistent with an interpretation as gauge theory on M^4 xS^2, the scalars being interpreted as gauge fields on S^2. The gauge group isbroken dynamically, and the low-energy content of the model is determined.Depending on the parameters of the model the low-energy gauge group can beSU(n), or broken further to SU(n_1) x SU(n_2) x U(1), with mass scaledetermined by the size of the extra dimension.Comment: 27 pages. V2: discussion and references added, published versio

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