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Integrability vs. non-integrability in statistical mechanics: March 2 – 6, 2015

Organized by Tetsuo Deguchi, Anthony Guttman, Jean-Michel Maillet, Barry McCoy, and Alexander Zamolodchikov

Dates: March 2 – 6, 2015

Attendee List Download Talk ScheduleView Videos

There is a fundamental paradox in statistical mechanics that we do exact computations on systems with very special symmetry properties and then apply the intuition gained to generic systems which do not have these symmetries. We will address this paradox by contrasting the most recent progress in integrable models such as 6 and 8 vertex, chiral Potts and hard hexagon models with very closely related non-integrable systems such as Ising in a magnetic field and hard squares.

Integrability vs Non-integrability in Statistical Mechanics Workshop Schedule

Time Title Presenters Video
9:15am Welcome Message Barry McCoy
9:30am Integrability vs Non-integrability: Exact Results, Scaling, Corrections to Scaling, Natural Boundaries Jacques H.H Perk video
slides
10:30am Coffee Break SCGP Cafe
11:00am Asymmetric Simple Exclusion Process: Integrable Structure and Limit Theorems Craig Tracy video
slides
12:00pm Lunch
1:30pm Correlations of the Planar Ising Model Nicholas Witte video
slides
2:30pm Algebraic Statistical Mechanics Jean-Marie Maillard video
slides
3:30pm Coffee SCGP Cafe
4:00pm Integrability, Solvability and Enumeration Tony Guttmann video
slides

Time Title Presenters Video
9:30am Microscopic approach to correlation functions in 1D quantum critical models Jean-Michel Maillet video
slides
10:30am Coffee Break SCGP Cafe
11:00am An Introduction to the Quantum Separation of Variables SOV for the exact solution of integrable quantum models Giuliano Niccoli video
slides
12:00pm Lunch
1:30pm Recent developments in the large-N analysis of correlation functions in the quantum separation of variables method Karol Kozlowski video
2:30pm SOS and 8-vertex models – Recent developments Veronique Terras video
slides
3:30pm Coffee SCGP Cafe
4:00pm XXZ Spin Chains with Generic Boundaries Nikolai Kitanine video
slides

Time Title Presenters Video
9:30am Primus inter pares: Integrable Field Theories Among Common Ones Alexander Zamolodchikov video
slides
10:30am Coffee Break SCGP Cafe
11:00am Exact overlaps in the Kondo problem Sergei Lukyanov video
slides
12:00pm Lunch
1:30pm Tetsuji Miwa video
slides
2:30pm One-point Functions in sinh-Gordon model and on-shell Yang-Yang Action Fedor Smirnov video
slides
3:30pm Coffee SCGP Cafe
4:00pm Non-linear integral equation approach to sl(2|1) integrable network models Andreas Kluemper video
slides

Time Title Presenters Video
9:30am CSOS Model & Chiral Potts Model: Degeneracy of the Eigenspace and Quantum Loop Algebra Helen Au-Yang video
slides
10:30am Coffee Break SCGP Cafe
11:00am Singular solutions and the completeness of the XXX and XXZ spin chains through the loop algebra symmetry Tetsuo Deguchi video
slides
12:00pm Lunch
1:30pm What Integrability has to do with Topology Paul Fendley video
slides
2:30pm Non-integrable Quantum Field Theories and Kink Confinement Giuseppe Mussardo video
slides
3:30pm Coffee SCGP Cafe
4:00pm Joint Math/SCGP Colloquium: Integrability and non-integrability in hard lattices gases and the Ising model in a magnetic field Jesper Jacobsen video
slides

Time Title Presenters Video
9:30am Form Factors and Large Distance Asymptotics of Correlation Functions of the XXZ Chain in the Massive Regime Frank Goehmann video
slides
10:30am Coffee Break SCGP Cafe
11:00am Critical manifolds in pure and quenched random systems from topological graph polynomials Jesper Jacobsen video
slides
12:00pm Lunch
1:30pm Light-cone lattice from the universal R-matrix Carlo Meneghelli video
2:30pm Closing remarks Barry McCoy
3:30pm Coffee SCGP Cafe


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