560 -- Mathematical Physics I

Announcements:

• Notes on the Hamiltonian & particle interpretation of the 2d scalar field theory are up.

This is a class on quantum field theory, emphasizing Euclidean path integrals and the relation to statistical physics.

Syllabus

TuTh 11:20am-12:40pm in Chemistry 124

Instructor: A.J. Tolland

Office Hours: Thu, 10:20 - class, in SCGP 410. Or by appointment.

Lecture Notes:

• 2011-02-01--Introduction & Hamiltonian Formalism of Mechanics
• 2011-02-03--Correlation Functions & Some Quantum Mechanics
• 2011-02-10--Spectral Theorem & Lattice Path Integral for Free Particle
• Wiener Measure & Continuum Limit for Free Particle QM
• Cylinder Measures and Minlos' Theorem
• Support of Wiener Measure, Feynman-Kac Formula
• Variations on Wiener Measure
• Hilbert Space Reconstruction, Part I
• Numerical Lattice Approximation
• Massive 2d Free Scalar Field (Hilbert Space Reconstruction, Part II)
• Particles in the free 2d Scalar Field Theory
• Interacting 2d Scalar Theory (part I)
• The Ising Model, Basic Stat Mech

Useful Texts

• Glimm & Jaffe, Quantum Physics: A Functional Integral Point of View (my primary reference)
• Montvay & Munster, Quantum Fields on the Lattice (will be useful later)
• Lepage, Lattice QCD for Novices

End content. Begin administrative boilerplate.

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