PHI 538 Philosophy of Physics

Spring 2004

Description

Foundational problems in the quantum theory of infinite systems (e.g., quantum field theory and quantum statistical mechanics). After covering the basics of the theory of operator algebras, we will tackle specific foundational problems: e.g., properties of the vacuum state, nonlocality and Bell's theorem in relativistic QFT, the non-existence of localized particles in relativistic quantum theories, inequivalent particle concepts (Rindler versus Minkowski quanta), measurement theory for continuous observables, underdetermination of fields by observables, causality and interacting quantum fields (Haag's theorem), spontaneous symmetry breaking.

Syllabus

• Basics
• Bell's theorem and nonlocality
  Readings: Summers
  Open question: Does the vacuum state violate Bell's inequality at all ranges?
• Operations and measurement
  Open question: Does every POVM induce a local measurement operation?
• Haag's theorem
  Readings: Emch, Streit, Heathcoate, Earman
• Superselection theory
  Readings: Roberts, Doplicher-Haag-Roberts, Buchholz-Fredenhagen, Baumgartel and Wollenberg, Landsman
• Spontaneous symmetry breaking
  Readings: Michoel, Earman, Streater