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Global Conservation Laws
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Symmetry: Noether Theorem
Explores the consequences of symmetry, focusing on the Noether Theorem and coordinated charges in Lie groups.
General Fields: Lorentz Representations
Covers the representation of Lorentz transformations through general fields and the consequences of symmetry.
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Symmetry in the Plane
Explores the modern definition of symmetry and its practical applications.
Real Functions: Definitions and Properties
Explores real functions, covering parity, periodicity, and polynomial functions.
Discrete Symmetries Introduction
Introduces the concept of discrete symmetries in Quantum Field Theory and their impact on particles and anti-particles.
Quantum Field Theory: Noether Currents and Lorentz Symmetry
Covers the Noether currents, Lorentz symmetry, and field quantization in quantum field theory.
Symmetries and Groups in Quantum Mechanics
Covers the role of symmetries and groups in quantum mechanics, focusing on SU2 and SU3, their properties, and implications for physical theories.
Staggered Bosons: Symmetry and Gaplessness
Explores staggered bosons, lattice realizations of gapless field theories with symmetry protection, commutation relations, and criticality.
Homotheties and Translations
Covers homotheties, translations, and compositions of functions in geometric transformations.