Lectures related to Renormalization Group: Energy Flow

Renormalization & Scaling

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

Renormalization Group in Field Theory

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

Scaling & Renormalization in Statistical Mechanics

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

Scaling of Free Energy

Explores the scaling of free energy, Renormalization Group flow, Ising model, critical exponents, and scaling relations.

Critical Exponents from RG

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

Conformal Field Theories: Review and Scaling

Covers statistical mechanics, conformal field theories, and critical exponents, emphasizing the importance of universality and renormalization group flows.

Spherical Symmetry in Statistical Mechanics

Explores spherical symmetry in statistical mechanics and its role in phase transitions.

Renormalization Group: Universal Critical Exponents

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

Potts Model: Introduction

Introduces the Potts model, a generalization of the Ising model used in statistical mechanics to study phase transitions.

Replica and Symmetry Breaking

Explores the Nobel Prize-winning discovery of replica and cavity methods in complex systems, focusing on the random energy model and the application of probability theory.

Gibbs Entropy: Definition and Partition Function

Explains Gibbs entropy and its role in the partition function of physical systems.

Path Integral Methods: Efficient Energy Estimators

Covers advanced path integral methods for deriving efficient energy estimators in molecular dynamics simulations.

Currents in the O(n) Model: Conformal Field Theory Insights

Covers the O(n) model on the hexagonal lattice and its currents.

Ensembles and Partition Functions

Covers ensembles, partition functions, and distributions in statistical thermodynamics.

Statistical Thermodynamics: Partition Function and Stirling Approximation

Explores the partition function and Stirling approximation in statistical thermodynamics, emphasizing the importance of recognizing higher order terms.

Phase Transitions in Statistical Mechanics

Covers phase transitions, correlation length, critical exponents, and universality in Statistical Mechanics.

Phase Transitions in the Ising Model

Explores phase transitions in the Ising model, mean magnetization, susceptibility, critical exponents, and the universality of critical exponents.

The Curie-Weiss Model: Overview and Applications

Covers the Curie-Weiss model, discussing its theoretical foundations and practical applications in physical systems.

Universality and Rotational Invariance in Isoradial Graphs

Covers universality and rotational invariance in isoradial graphs and their implications in statistical mechanics.

Path Integral Methods: Convergence and Computational Techniques

Covers path integral methods, focusing on convergence and computational techniques for quantum systems.