Lecture notes on statistical physics of neural networks
Based on a set of lectures done at the "School of the Italian Society of Statistical Physics", IMT, Lucca, 2023. They can be also found on ArXiv at the following link.
Lecture notes on Monte Carlo Methods
Lecture notes for part of the course ''Methods and Data Analytics for Risk Assessment''.
Lecture notes on relativistic quantum mechanics (in Italian)
Klein–Gordon and Dirac fields; electromagnetic field, gauge invariance and quantization; perturbative QED with basic scattering processes; and Weyl/Dirac neutrino theory. Taken during M. Testa’s course in the Master in Theoretical Physics at Sapienza University of Rome.
Lecture notes on Quantum Field Theory (in Italian)
They introduce relativistic QFT (locality, Lorentz structure, asymptotic states/S-matrix), develop the path-integral and generating-functional formalism with renormalization (incl. Callan–Symanzik), and conclude with fermions/Grassmann calculus and non-Abelian gauge theories with gauge fixing (Faddeev–Popov). Taken during M. Testa’s course in the Master in Theoretical Physics at Sapienza University of Rome.
Lecture notes on Statistical Field Theory
Lecture notes on statistical field theory and phase transitions. Landau–Ginzburg theory; perturbation theory, Feynman diagrams and the renormalization group. transfer-matrix methods; and spontaneous symmetry breaking in models with Goldstone modes. Taken during G. Parisi’s course in the Master in Theoretical Physics at Sapienza University of Rome. Some chapters are incomplete.