PSI Online

Perimeter Scholars International's free online learning modules enable motivated students and physics enthusiasts to study graduate-level theoretical physics independently at their own pace.  

Each learning module contains a series of exercises and lecture notes designed to supplement recorded videos. The online program is free. Register to begin PSI Online.


MODULE 1

Quantum Field Theory I

Canonical quantization of scalar, spinor, and abelian gauge fields, perturbation theory, Feynman diagrams, applications in particle theory.


Module 2

Quantum Field Theory II

Feynman path integrals and functional integral quantization, perturbative and Wilsonian renormalization, renormalization group, non-abelian gauge theories and their quantization. 


Module 3

Condensed Matter

Computational challenges in theories of many-body systems. Encoding the lattice Hamiltonians and exact diagonalization procedure. The free particle formalism and its use as a guide in numerical simulations of many-body Hamiltonians. Entanglement and its structure in many-body wave-functions. Tensor network states including the matrix product states and projected entangled pair states; multi-scale entanglement
renormalization ansatz. 


MODULE 4

Cosmology

This learning module provides an introduction to modern cosmology and how it explains some experimental facts about our Universe. We start from discussing the homogenous universe described by the FRW spacetime, explain the various components of the matter content, touch on Big Bang Nucleosynthesis, CMB, dark matter, and dark energy. We also discuss motivations for introducting inflation and how it pedicts the right kind of fluctuations that lead to the structure formation in our Universe.


MODULE 5

Statistical Physics

The main goal of this learning module is to discuss phase transitions and critical phenomena in statistical physics. We introduce the ideas of mean field theory and renormalization group and exploit them to calculate the critical exponents for the Ising model. More advanced topics concern the models with continuous symmetry, topological phase transitions, as well as Monte Carlo simulations.


MODULE 6

Mechanics

This learning module provides a concise introduction to theoretical mechanics and its geometrical formulation in terms of symplectic and contact geometries. We review the basic concepts of action principle, Poisson brackets, and canonical transformations, as well as discuss more advanced topics as the Hamilton-Jacobi theory, integrable systems, and constraints. No prior knowledge of differential geometry is expected.