Quantum Field Theory: Path Integrals

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Covers advanced topics in Quantum Field Theory, including representations of the Poincare group and the construction of unitary irreps.

Quantum Field Theory: Fermions and Grassmann Numbers

Explores quantum field theory, focusing on fermions and Grassmann numbers in the path integral formalism.

Quantum Field Theory: Ward Identities

Explores Ward identities in Quantum Field Theory, emphasizing classical and quantum cases, symmetry generators, and perturbation theory.

Renormalization Group in Field Theory

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

Euclidean Path Integrals: Thermal Partition Function

Covers Euclidean path integrals and the thermal partition function in Quantum Field Theory.

Instantons: Non-perturbative Effects

Explores instantons and non-perturbative effects in quantum field theory, including tunneling probability and exact eigenstates.

Quantum Field Theory: Feynman Rules

Covers the Feynman Rules in Quantum Field Theory, focusing on the proper split of terms and the solution of paradoxes.

A Conjecture of Erdös: Proof by Moreira, Richter and Robertson

Presents a short proof of a conjecture by Erdös, exploring related questions and detailed proof of the proposition.

Compactified Imaginary Liouville Theory: Scaling Limits and Challenges

Covers compactified imaginary Liouville theory and the scaling limits of loop models, addressing mathematical challenges and future research directions.

Gauge Theories: Chiral Transformations and Path Integrals

Covers the gauged Wess-Zumino-Witten model and its applications in conformal field theory.