Quantum Field Theory: Gauge Symmetries

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Page 3 of 4

Covers distributions, derivatives, convergence, and continuity criteria in function spaces.

Covers the properties of signal/data representations using Fourier transformations and matrices.

Covers matrix operations, Fourier transformations, Gaussian models, and signal representations using algebraic methods.

Explores the Central Limit Theorem, convergence in law, characteristic functions, and moment problems in probability theory.

Covers the renormalization of gauge theories and composite operators.

Introduces the concept of discrete symmetries in Quantum Field Theory and their impact on particles and anti-particles.

Covers cross section, lifetime, quantum fluid, asymptotic states, discrete symmetries, and normal ordering in quantum field theory.

Explores the formal aspects of the Higgs mechanism, covering mass terms, symmetry breaking, and the standard model Higgs boson.

Covers topics in probability theory, focusing on uniform integrability and convergence theorems.

Delves into quantum field theory, emphasizing the Standard Model's boundaries and the principles governing particle physics.