Rado Lecture - Vaughan Jones

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Vaughan Jones
October 25, 2019
4:15PM - 5:15PM
Location
Cockins Hall 240

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Add to Calendar 2019-10-25 16:15:00 2019-10-25 17:15:00 Rado Lecture - Vaughan Jones Title: Lecture 3: On the continuum limit of a quantum spin chain (??) Speaker: Vaughan 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. Cockins Hall 240 Department of Mathematics math@osu.edu America/New_York public
Description

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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