Lectures related to Quantum Field Theory: Lecture 9

Covers the most general representation of Lorentz group on spinorial fields.

Covers the transformation properties of vector fields and their representation in Lorentz tensors.

Explores Fourier modes in Quantum Field Theory, emphasizing variables transforming well under translations and the normalization of states.

Explores chirality, helicity, and spinors in Quantum Field Theory, focusing on normalization and completeness relations.

Explores the Lorentz transformation in Quantum Theory, emphasizing Fock space representation and momentum concepts.

Covers EM Field and Discrete Symmetries, emphasizing the importance of symmetries in quantum field theory.

Explores Lie groups, scalar fields, and vector spaces transformations.

Explores the applicability of non-relativistic quantum mechanics and its relation to special relativity.

Covers the Feynman Rules in Quantum Field Theory, focusing on the proper split of terms and the solution of paradoxes.

Explores the relativistic normalization of states in quantum field theory.

Covers advanced topics in Quantum Field Theory, including representations of the Poincare group and the construction of unitary irreps.

Covers the role of symmetries and groups in quantum mechanics, focusing on SU2 and SU3, their properties, and implications for physical theories.

Covers the quantization of the Dirac field and its Hamiltonian properties.

Explores asymptotic states, S-matrix, and operators in quantum field theory, emphasizing the role of discrete symmetries and complete sets of states.

Explores gauge symmetries in quantum field theory, emphasizing invariance under transformations and the role of ghost fields.

Explores Poincaré irreducible representations, Little Group, and induced representation in the context of momentum eigenstates.

Covers the concepts of cross section and lifetime in quantum fluids, focusing on transition and differential probabilities.

Covers the representation theory of unitary minimal models and the Virasoro algebra.

Discusses defining tensors, space-time dimensionality, and challenges in formulating a relativistic theory of gravity.

Explores fundamental cosmological puzzles related to dark matter and energy.