Geometry and Quantum Theory Seminar Speaker: Nikita Sopenko, CMSA Title: Quasi-local algebras and invertible phases of matter Abstract: In the algebraic approach to quantum field theory, observables localized in bounded regions form a net of von Neumann algebras generating what is known as a quasi-local algebra. I will discuss the classification of quasi-local algebras under […]
Joint Math/CMSA Geometry and Quantum Theory Seminar Speaker: Dan Freed Title: Path integral quantization of particles via probability Abstract: This is the beginning of our study of Sourav Chatterjee's Gauge Theory Lecture Notes, a book-in-progress. This lecture follows Chapter 1, which covers the path integral quantization of a single particle. We begin in real time with […]
Joint Math/CMSA Geometry and Quantum Theory Seminar Speaker: Dan Freed, Harvard Title: Path integral quantization of particles via probability (Part 2) Abstract: I will pick up where I left off last week. The first half of the lecture will cover the general strategy of constructing a quantum system using Markov processes, as described in Section […]
Joint Math/CMSA Geometry and Quantum Theory Seminar Speaker: Tomer Schlank Title: From Markov processes to path integrals Abstract: We will continue with Chapter 2 of the book and cover how we take the Markov process approach and Wick rotation to give a rigorous definition of path integrals.
Joint Math/CMSA Geometry and Quantum Theory Seminar Speaker: Ahsan Khan, HarvardCMSA Title: Markov processes and path integrals continued Abstract: I will continue the discussion of chapter two, in particular focusing on vacuum expectation values and reflection positivity.
Joint Math/CMSA Geometry and Quantum Theory Seminar Speaker: Bowen Yang Title: From Random Walks to the Free Quantum Field Abstract: The free quantum field is, heuristically, a Gaussian measure with density exp(−S_E) on a space of fields. We make this precise by building the Gaussian free field from discrete objects: random walks, Brownian motion, and […]