10395 - Theory of Nuclear Forces

Course contents

Introduction to nuclear potentials (First part)  

Realistic nuclear potentials. Nuclear phase shifts and inverse scattering problem. Long-range interaction (one pion exchange) and Yukawa potential. Deuton as a bound system. Effective interactions and G matrix. Realistic shell model. Renormalization group techniques applied to nuclear potentials. (In this first part numerical codes will be provided)    
 
Chiral Symmetry / Spontaneous symmetry breaking (Second part)       

Short introduction field theory and to Dirac and Klein-Gordon equations. Short introduction to Lie groups. Noether theorem and proof. Chiral symmetry: introduction, conserved currents, current algebra,  mesonic states transformation, hadronic spectrum. PCAC hypothesis (partially conserved axial current) and decay of the pion. Goldberger-Treiman relation. Gell Mann Oakes Renner relation. Introduction to the concept of symmetries: Weyl and Nambu-Goldstone realization. Coleman theorem. Goldstone theorem. Goldstone theorem application: Heisenberg ferromagnet, scalar field theories, gauge theories, chiral symmetry. Linear sigma model. Introduction to Effective field theories. Non Linear Sigma Model. Nambu Jona-Lasinio Model. QCD phase diagram and its phase transitions.

Readings/Bibliography

There is no a comprehensive text book.  Relevant bibliographies will be given during the lectures and made available at http://minimafisica.biodec.com

Teaching methods

Lectures with slides or at the chalkboard.

Assessment methods

Oral examination. More details will be provided later.

Teaching tools

Tutorials and numerical codes will be available on the web site http://minimafisica.biodec.com

Links to further information

http://minimafisica.biodec.com

Office hours

See the website of Paolo Finelli