Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-06-16
Physics
High Energy Physics
High Energy Physics - Theory
23 pages, 4 figures
Scientific paper
We show how the bosonic spectral action emerges from the fermionic action by the renormalization group flow in the presence of a dilaton and the Weyl anomaly. The induced action comes out to be basically the Chamseddine-Connes spectral action introduced in the context of noncommutative geometry. The entire spectral action describes gauge and Higgs fields coupled with gravity. We then consider the effective potential and show, that it has the desired features of a broken and an unbroken phase, with the roll down.
Andrianov Alexander A.
Kurkov M. A.
Lizzi Fedele
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