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Integrability and integrability breaking

Friday, April 29
9:00 AM -
2:30 PM
EDT
via Zoom



Abstracts, slides, and recorded lectures are available below.

9:00 - 10:30
Duality in the Tricritical Ising Model
Giuseppe Mussardo
SISSA

- Break -

11:00 - 12:30
Generalised hydrodynamics and BBGKY hierarchy
Bruno Bertini
University of Nottingham

- Break -

1:00 - 2:30
Breaking integrability in classical kink collisions
Patrick Dorey
Durham University

  • Giuseppe Mussardo, SISSA

    watch the lecture

    The thermal deformation of the 2D Tricritical Ising Model gives rise to an exact scattering theory with seven massive excitations based on the exceptional $E_7$ Lie algebra. The high and low temperature phases of this model are related by duality. We will discuss the peculiar features of the self-duality of this model and the possibility to compute exactly the matrix elements (Form Factors) of local and non-local magnetization operators. We employ these Form Factors to compute the exact dynamical structure factors of the theory, a set of quantities with a rich spectroscopy which may be directly tested in future inelastic neutron or Raman scattering experiments.

    slides pt.1
    slides pt.2

  • Bruno Bertini, University of Nottingham

    watch the lecture

    view slides

  • Patrick Dorey, Durham University

    watch the lecture

    This talk will give a survey of some of the surprisingly complicated phenomena which emerge when integrability is broken in classical field theories, as seen in the scattering of kink solutions.


Organized by Sebastian Franco (City College, CUNY), Dan Kabat (Lehman College, CUNY), and Vladimir Rosenhaus (CUNY Graduate Center). Sponsored in part by the Initiative for the Theoretical Sciences and by the CUNY doctoral program in Physics.

Earlier Event: April 12
Seminar with Paul Riggins
Later Event: May 3
Seminar with David Vegh