Course

Applications of LR bounds: no signalling, truncation of time-evolved operators, spreading of correlations

Domain Wall, Symmetry-Broken Vacua.

Deep inelastic scattering continued, Parton level cross sections.

Locality in quantum systems, Lieb-Robinson (LR) bounds.

Submanifolds: Gauss-Codazzi Equations, Gibbons-Hawking Term.

Deep Inelastic Scattering.

Quantum geometric tensor, quantum phase transitions as "dramatic changes".

Statistical distance between quantum states, Fubini-Study metric on the Hilbert space.

Euclidean Trick, Variational Principles: Einstein-Hilbert Action.

Yukawa interactions, CKM matrix, Fermi theory.

Duality in the quantum Ising model, Jordan-Wigner transformation.