Low-dimensional models in statistical physics and quantum field theory : proceedings of the 34. Internationale Universitätswochen für Kern- und Teilchenphysik, Schladming, Austria, March 4-11, 1995 / Harald Grosse, Ludwig Pittner, eds.

By: (34th : Internationale Universitätswochen für Kern- und Teilchenphysik (34th : 1995 : Schladming, Austria)
Contributor(s): Grosse, Harald, 1944- | Pittner, Ludwig
Material type: TextTextSeries: Lecture notes in physics: 469.Publisher: Berlin ; New York : Springer, 1996Description: 1 online resource (xvii, 339 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9783540497783; 3540497781; 9783662140680; 3662140683; 9783662140673; 3662140675Subject(s): Statistical physics -- Mathematical models -- Congresses | Quantum field theory -- Mathematical models -- Congresses | Quantum field theory -- Mathematical models | Statistical physics -- Mathematical models | Quantenfeldtheorie | Statistische Physik | Schladming <1995>Genre/Form: Electronic books. | Conference papers and proceedings. | Kongress. Additional physical formats: Print version:Internationale Universitätswochen für Kern- und Teilchenphysik (34th : 1995 : Schladming, Austria).: Low-dimensional models in statistical physics and quantum field theory.DDC classification: 530.1/43 LOC classification: QC174.7 | .I66 1995Online resources: Click here to access online
Contents:
The Chern-Simons theory and quantized moduli spaces of flat connections / A. Yu. Alekseev and V. Schomerus -- Comments about Higgs Fields, noncummutative geometry, and the standard model / G. Cammarata and R. Coquereaux -- Large new applications of Bethe Ansatz / L.D. Faddeev -- Universality in turbulence : an exactly solvable model / K. Gawedzski and A. Kupiainen -- Introduction to integrable models of statistical physics / H. Grosse -- Yang-Baxter equation and reflection equations in integrable models / P.P. Kulish -- Scattering matrices and affine Hecke algebras / V. Pasquier --Some algebraic and analytic structures in integrable systems / N. Reshetikhin -- Monodromy representation of the mapping class group B[subscript n] for the su₂ Knizhnik-Zamolodchikov equation / Y.S. Stanev and I.T. Todorov -- What are the quantum mechanical Lyapunov exponents? / W. Thirring -- Area-preserving structure of massless matter-gravity fields in 1+1 dimensions / G. Amelino-Camelia, D. Bak, and D. Seminara -- Solitons in the Calogero-Sutherland collective-field model / I. Andríc, V. Bardek, and L. Jonke -- W₁₊[subscript [infinity]] minimal models and the hierarchy of the quantum Hall effect / A. Cappelli, C.A. Trugenberger, and G.R. Zemba -- Creation and annihilation operators for b -- c systems on general algebraic curves / F. Ferrari and J. Sobczyk -- Interacting electrons and localized spins : exact results from conformal field theory / P. Fröjdh and H. Johannesson -- On the U(1) problem of QED₂ / C. Gattringer -- The finite gauge model on the truncated sphere / H. Grosse, C. Klimčík, and P. Prešnajder -- Local operators in massive quantum field theories / A. Koubek -- On anomalies and noncommutative geometry / E. Langmann -- Quantum deformations of space-time symmetries with fundamental mass parameter / J. Lukierski -- Magnetic field-induced 2D Wigner solid versus incompressible quantum liquid / G. Meissner -- Random walks over Wilson loop space / A. Protogenov -- Polynomial identities on reflection equation algebra / P.N. Pyatov and P.A. Saponov -- Introduction to Poisson o-models / P. Schaller and T. Strobl -- On solution of self-duality equation in quantum-group gauge theory / B.M. Zupnik.
Action note: digitized 2010 committed to preserveSummary: This book contains thoroughly written reviews of modern developments in low-dimensional modelling of statistical mechanics and quantum systems. It addresses students as well as researchers. The main items can be grouped into integrable (quantum) spin systems, which lead in the continuum limit to (conformal invariant) quantum field theory models and their algebraic structures, ranging from the Yang-Baxter equation and quantum groups to noncommutative geometry.
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The Chern-Simons theory and quantized moduli spaces of flat connections / A. Yu. Alekseev and V. Schomerus -- Comments about Higgs Fields, noncummutative geometry, and the standard model / G. Cammarata and R. Coquereaux -- Large new applications of Bethe Ansatz / L.D. Faddeev -- Universality in turbulence : an exactly solvable model / K. Gawedzski and A. Kupiainen -- Introduction to integrable models of statistical physics / H. Grosse -- Yang-Baxter equation and reflection equations in integrable models / P.P. Kulish -- Scattering matrices and affine Hecke algebras / V. Pasquier --Some algebraic and analytic structures in integrable systems / N. Reshetikhin -- Monodromy representation of the mapping class group B[subscript n] for the su₂ Knizhnik-Zamolodchikov equation / Y.S. Stanev and I.T. Todorov -- What are the quantum mechanical Lyapunov exponents? / W. Thirring -- Area-preserving structure of massless matter-gravity fields in 1+1 dimensions / G. Amelino-Camelia, D. Bak, and D. Seminara -- Solitons in the Calogero-Sutherland collective-field model / I. Andríc, V. Bardek, and L. Jonke -- W₁₊[subscript [infinity]] minimal models and the hierarchy of the quantum Hall effect / A. Cappelli, C.A. Trugenberger, and G.R. Zemba -- Creation and annihilation operators for b -- c systems on general algebraic curves / F. Ferrari and J. Sobczyk -- Interacting electrons and localized spins : exact results from conformal field theory / P. Fröjdh and H. Johannesson -- On the U(1) problem of QED₂ / C. Gattringer -- The finite gauge model on the truncated sphere / H. Grosse, C. Klimčík, and P. Prešnajder -- Local operators in massive quantum field theories / A. Koubek -- On anomalies and noncommutative geometry / E. Langmann -- Quantum deformations of space-time symmetries with fundamental mass parameter / J. Lukierski -- Magnetic field-induced 2D Wigner solid versus incompressible quantum liquid / G. Meissner -- Random walks over Wilson loop space / A. Protogenov -- Polynomial identities on reflection equation algebra / P.N. Pyatov and P.A. Saponov -- Introduction to Poisson o-models / P. Schaller and T. Strobl -- On solution of self-duality equation in quantum-group gauge theory / B.M. Zupnik.

This book contains thoroughly written reviews of modern developments in low-dimensional modelling of statistical mechanics and quantum systems. It addresses students as well as researchers. The main items can be grouped into integrable (quantum) spin systems, which lead in the continuum limit to (conformal invariant) quantum field theory models and their algebraic structures, ranging from the Yang-Baxter equation and quantum groups to noncommutative geometry.

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