Kurkov, Maxim (2014) Spectral Regularization and its Applications in Quantum Field Theory. [Tesi di dottorato]

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Item Type: Tesi di dottorato
Resource language: English
Title: Spectral Regularization and its Applications in Quantum Field Theory
Creators:
Creators
Email
Kurkov, Maxim
kurkov@na.infn.it
Date: 31 March 2014
Number of Pages: 94
Institution: Università degli Studi di Napoli Federico II
Department: Fisica
Scuola di dottorato: Scienze fisiche
Dottorato: Fisica fondamentale ed applicata
Ciclo di dottorato: 26
Coordinatore del Corso di dottorato:
nome
email
Velotta, Raffaele
rvelotta@unina.it
Tutor:
nome
email
Lizzi, Fedele
UNSPECIFIED
Date: 31 March 2014
Number of Pages: 94
Keywords: QFT, regularization, bosonic spectral action, Weyl anomaly, Landau pole
Settori scientifico-disciplinari del MIUR: Area 02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici
Additional information: This work has been done in collaboration with scientists from Italy, Spain, Russia, England and Brazil, I presented it on: 1. Invited Seminar ar Radboud University, Nijmegen, Holland January 2014 title of the talk: ”The spectral action at thigh energy” 2. International School Of Subnuclear Physics 2013 (ISSP-2013) (new talents sessions), Erice, Italy, June - July 2013, title of the talk: ”Universal Landau Pole.” 3. PhD workshop 2012, Napoli, Italy, January 2013, title of the talk: ”Spectral regularization, Weyl anomaly and the Higgs- Dilaton Lagrangian.” 4. International Seminar QUARKS 2012, Yaroslavl, Russia, June 2012, title of the talk: ”Spectral action, Weyl anomaly and the Higgs-Dilaton potential.” 5. International Workshop Planckland Quantum Geometry and matter, Trieste, Italy, February 2012, title of the talk: ”Spectral action, Weyl anomaly and the Higgs-Dilaton potential.” 6 PhD workshop 2011, Napoli, Italy, October 2011, title of the talk: ”Spectral action, Weyl anomaly and the Higgs-Dilaton potential.” 6. PhD workshop 2011, Napoli, Italy, October 2011, title of the talk: ”Spectral action, Weyl anomaly and the Higgs-Dilaton potential.” 7. International School Of Subnuclear Physics 2011 (ISSP-2011) (new talents sessions), Erice, Italy, June - July 2011, title of the talk: ”Spectral action, Weyl anomaly and the Higgs-Dilaton potential.” This work is available in the following publications: *journal publications 1. M. A. Kurkov, F. Lizzi and D. Vassilevich, “High energy bosons do not propagate”, accepted for publication in Phys. Lett. B, February 2014. 2. M. A. Kurkov and Mairi Sakellariadou, “Spectral Regularisation: Induced Gravity and the Onset of Inflation ”, JCAP 01 (2014) 035 3. A. A. Andrianov, D. Espriu, M. A. Kurkov and F. Lizzi, “Universal Landau Pole,” Phys. Rev. Lett. 111, 011601 (2013). 4. M. A. Kurkov and F. Lizzi, “Higgs-Dilaton Lagrangian from Spectral Regularization”, Mod. Phys. Lett. A, Vol. 27, Issue 35 (2012). 5. A. A. Andrianov, M. A. Kurkov and F. Lizzi, “Spectral action, Weyl anomaly and the Higgs-Dilaton potential,” JHEP 1110 (2011) 001. ** conference papers: 1. A. A. Andrianov, D. Espriu, M. A. Kurkov and F. Lizzi, “Universal Landau Pole at the Planck scale,” PoS (QFTHEP 2013) 089. 2. A. A. Andrianov, M. A. Kurkov and F. Lizzi, “Spectral Action from Anomalies,” PoS (CNCFG) 2010 024.
Date Deposited: 08 Apr 2014 10:16
Last Modified: 27 Jan 2015 15:29
URI: http://www.fedoa.unina.it/id/eprint/9900

Collection description

The argument of this thesis is the ultraviolet Spectral Regularization of Quantum Field Theory (QFT). We describe its genesis, its definition and apply it to physically interesting models. One of the main applications of the Spectral Regularization is its application to the Bosonic Spectral Action (BSA), appearing in the noncommutative geometry approach to the Standard Model. Conformal anomaly, appearing in QFT of fermions, moving in a fixed bosonic background under Spectral Regularization is expressed in terms of the BSA. Generalizing this formalism to bosonic degrees of freedom, the phenomena of induced Sakharov gravity and trace anomaly induced inflation are described on an equal footing. The second part of the thesis is devoted to some models, naturally exhibiting the ultraviolet cutoff scale: we compute high momenta asymptotic of BSA, and find that it possesses a phase transition in the ultraviolet, and only at low momenta BSA reproduces the conventional QFT. Afterwards we consider the strong unification generalization of the Standard Model, based on a presence of the Universal Landau Pole for all gauge couplings at the Planck scale. Introducing the physical ultraviolet cutoff scale, such a model naturally resolves the instability problem of the Higgs potential.

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