Concept

Scale invariance

Related lectures (31)

Covers the basics of Conformal Field Theory, focusing on Large N CFTs and correlation functions.

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

Easing Model Conformal Theory: Scaling Limits and Correlations

Covers the Easing model conformal theory, focusing on scaling limits and correlation functions.

Conformal Ward Identities

Covers the stress tensor, Weyl invariance, and the integral form of conformal Ward identities.

Turbulent State Symmetries

Explores broken and emerging symmetries in turbulent states, discussing energy cascades, lack of scale invariance, and potential conformal invariance.

Renormalization & Scaling

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

Local Fields and Correlations in Ising Models

Covers local fields and correlations in Ising models and conformal field theory.

Scaling of Correlation Functions

Explores scaling of correlation functions, operators, dimensions, beta function, RG possibilities, and UV complete QFTs.

Operator Product Expansion

Explores Operator Product Expansion (OPE) and its role in Conformal Bootstrap.

Renormalization Group: Universal Critical Exponents

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

Turbulence: Scaling Exponents and Kolmogorov's Law

Delves into Kolmogorov's theory on turbulence, discussing scaling exponents and the 4/5-law.

Quantum Length of SLE: Natural Parameterization and Properties

Covers the quantum length of SLE and its natural parameterization, exploring key properties and relationships with random planar maps.

Conformal Loop Ensembles: Connections to CFT

Explores the relationship between conformal loop ensembles and conformal field theory, focusing on the three-point nesting function and its mathematical derivation.

String Theory: Lectures 14-17

Covers AdS/CFT correspondence, Ising model critical points, gravitons, stress tensor identities, holographic CFTs, and observables in CFTs.

Scaling & Renormalization in Statistical Mechanics

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

Conformal Field Theory

Covers the basics of Conformal Field Theory, including operators and correlators.

Conformal Transformations

Explores conformal transformations, scale invariance, and critical points in conformal symmetry.

Neural Networks and Quantum Field Theory

Explores the connection between neural networks and quantum field theory, focusing on the correspondence between parameter and function spaces.

Conformal Field Theory: Two-Point Functions

Explores two-point functions in Conformal Field Theory, including spectral density interpretation and Euler characteristic invariance.

Polymer Behavior: Force-Extension Curve

Delves into the entropic behavior of polymers through force-extension curves.