Coarse Graining in Statistical Physics

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Explores the Renormalization Group in field theory, discussing scaling functions, critical exponents, and Gaussian fixed points.

Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.

Covers the concept of the renormalization group and the effective Hamiltonian.

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

Covers CFT, gravity, phase transitions, critical exponents, and RG formalism.

Explores renormalization, scaling, critical points, exponents, and phase transitions in conformal field theory and quantum gravity.

Explores the universal critical exponents of microscopic systems and the role of the renormalization group.

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Covers the fundamentals of group theory in physics, focusing on symmetries and transformations leaving physical equations unchanged.