A modern shape for the non-local Nambu Jona-Lasinio model

Abstract: The Standard Model of Particle Physics is based on two fundamental theories: the Electroweak theory of Glashow, Weinberg and Salam, and Quantumchromodynamics (QCD) developed by Gross, Wilczek and Politzer. Of these, QCD has two features, not common to the other interactions: Asymptotic Freedom, which can be explained by the running of the strong coupling due to renormalization, and Quark Confinement which does not allow us to “see” quarks as individual particles. The necessity to describe particles which have not and will never be “seen” as free particles led to the development of Effective Field Theories (EFTs). One of these EFT approaches is the one developed by Nambu and Jona-Lasinio in 1961, based on the principles of the BCS theory of superconductivity developed by Bardeen, Cooper and Schrieffer. While the original approach replaces the interaction vector bosons effectively by local four-fermion interactions (hence non-renormalisable), in our project we consider a non-local version of the NJL model which has been shown to be both renormalisable and confining and hence much more appropriate to be used in elementary particle physics. The main aim of our project is to present a modern and non-local version of the NJL model, applied to particle physics phenomenology, in particular as an EFT approach for QCD.

astrophysicscondensed mattergeneral relativity and quantum cosmologyhigh energy physicsmathematical physicsclassical physicsgeneral physics

Audience: researchers in the topic

Theoretical physics seminar @ Tartu