TY - JOUR
T1 - Dynamical generation of fuzzy extra dimensions, dimensional reduction and symmetry breaking
AU - Aschieri, Paolo
AU - Grammatikopoulos, Theodoros
AU - Steinacker, Harold
AU - Zoupanos, George
PY - 2006/9/1
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
UR - http://www.scopus.com/inward/record.url?scp=33749418710&partnerID=8YFLogxK
U2 - 10.1088/1126-6708/2006/09/026
DO - 10.1088/1126-6708/2006/09/026
M3 - Article
SN - 1029-8479
VL - 2006
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 9
M1 - 026
ER -