Rado Lecture - Vaughan Jones

August 21, 2019
Friday, October 25, 2019 - 4:15pm to 5:15pm
Cockins Hall 240
Vaughan Jones

Title: Lecture 3: On the continuum limit of a quantum spin chain (??)

SpeakerVaughan Jones (Vanderbilt University)

Abstract: A quantum spin chain is a linear array of quantum “spins” evolving according to some local interaction.It is received wisdom in physics that, if the spacing between neighbouring spins tends to zero, one should obtain a quantum field theory in this “scaling limit”. It should exhibit conformal symmetry if the spin chain is critical.

After explaining these terms we will discuss a failed attempt to obtain the quantum field theory by reversing the procedure known as block spin renormalisation.

Previous Lectures

Lecture 1: Some consequences of von Neumann dimension
Lecture 2: Some unitary representations of R. Thompson's groups.

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