A.A. Andrianov, M.A. Kurkov, Fedele Lizzi. Spectral action, Weyl anomaly and the Higgs-dilaton potential
Submitted on: Sep 06, 2012, 05:27:40
Natural Sciences / Physics / Particle physics
Description: 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.
The abstract of this article will be published in the September 2012 issue of "Intellectual Archive Bulletin", ISSN 1929-1329.
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