Modular Theory and Quantum Field Theory - Lecture 1
Offered By: International Centre for Theoretical Sciences via YouTube
Course Description
Overview
Explore the foundations of modular theory and its applications in quantum field theory (QFT) in this comprehensive lecture by Nima Lashkari from Purdue University. Delve into the Tomita-Takesaki modular theory and its impact on constraining correlation functions of quantum fields. Discover how modular theory tools prove the absence of obstructions in sewing local states into a global pure state in QFT, unlike finite quantum systems. Cover key topics including qudit examples, algebra of observables, projection operators, canonical purification, Rech-Schlieder property, superselection sectors, and various algebraic structures in quantum mechanics. Gain insights into the intricate relationship between modular theory and QFT through this in-depth, 1 hour 41 minute lecture from the Infosys-ICTS String Theory Lectures series.
Syllabus
Lecture 1: Monday, 3 February 2020 at am
Lecture 2: Tuesday, 4 February 2020 at am
Lecture 3: Wednesday, 5 February 2020 at am
Modular Theory and QFT Lecture 1
Plan of the talk
Example 1: Qudit
Algebra of Observables
Projection Operator
Linear Positive Operator
Canonical Purification
Rech-Schlieder Property
Example 2
Inequivalent Sector Symmetry - Superselection Sector
Example 3
dxd complex matrix algebra Ad
Abelim Algebra
Group
Taught by
International Centre for Theoretical Sciences
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