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Symmetries and groups in contemporary physics. proceedings of the XXIX International Colloquium on Group-Theoretical Methods in Physics / Tianjin China, 20-26 August 2012 :

This volume focuses on developments in the field of group theory in its broadest sense and is of interest to theoretical and experimental physicists, mathematicians, and scientists in related disciplines who are interested in the latest methods and applications. In an increasingly ultra-specialized...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Bai, Chengming, Gazeau, Jean-Pierre, Ge, M. L. (Mo-Lin)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Springer, 2013.
Colección:Nankai series in pure, applied mathematics and theoretical physics ; v. 11.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Preface; International Advisory Committee and Organizing Committee; ICGTMP Standing Committee; CONTENTS; Opening Address H.-D. Doebner; The Wigner Medal; Wigner Medal and Wigner Medalists; The Wigner Medal at the Chern Institute of Mathematics A. Bohm; Laudatio for the 2012 Wigner Medalist C. Alden Mead B.K. Kendrick; 1. Mead's Background and Research Interests; 2. The Anomalous Sign Change in Molecules; 3. The Gauge Theory of Molecules; References; Wigner Medal Acceptance C.A. Mead; The Hermann Weyl Prize; Hermann Weyl Prize and H. Weyl Prize Awardees
  • Presentation of the 2012 Weyl Prize Awardee: Razvan Gurau E. CorriganPlenary Session; The Surprising Connection Between Exactly Solved Lattice Models and Discrete Holomorphicity M.T. Batchelor; 1. Introduction; 2. The O(n) loop model; 3. Self-avoiding random walks; 3.1. The polymer adsorption transition; 4. The ZN model; 5. Discussion; Acknowledgments; References; Quantum Computing: A Quantum Group Approach Z. Wang; 1. Quantum group and quantum computing; 2. Modular categories as finite abelian groups; 3. Modular categories as topological phases of matter
  • 4. Modular categories as anyonic quantum computers4.0.1. Braiding universal anyons; 4.0.2. Resource assisted universal anyons; 5. Majorana physics and its realization; 6. Open problems and future directions; 6.0.3. SPT and SET; 6.0.4. Fermion systems; 6.0.5. (3+1)-TQFTs; Acknowledgments; References; Yang-Baxter Equation and Quantum Information M.-L. Ge and K. Xue; 1. Introduction; 2. 2-dimensional representations of U and topological basis; 3. Yang-Baxterizaton (parametrization of braiding matrices); Topological basis related to Birman-Wenzl-Marakami algebra
  • 3-d Topological Basis of BWMA for S unitary4. Conclusion Remarks; Acknowledgments; References; The Tensor Track: An Update V. Rivasseau; 1. Introduction; 2. Basic Hypotheses; 3. GFT's and TGFT's; 4. Desirable Properties; 4.1. Renormalization; 4.2. Asymptotic Freedom; 4.3. Constructibility; 4.4. Geometricity; 4.5. Dualities, holography; 5. Rules for TGFT's; 6. Conclusion; Acknowledgments; References; Towards the Origin? D. Treille; Introduction; 1. The expanding Universe; 2. The timeline of the Universe; 3. Observing the Universe; 4. The Cosmic Microwave background (CMB)
  • 5. Bilan of observation6. Re-creating samples; 7. The first few minutes; 8. The quark-hadron transition; 9. The Standard Model (SM) of particles; 10. A quantum world; 11. The SM in brief; 12. The Brout-Englert-Higgs (BEH) mechanism in brief; 13. Electroweak symmetry breaking: the BEH boson; 14. Supersymmetry and Dark Matter; SUSY at LHC?; 15. Grand Unification?; 16. Ination?; 17. Why something rather than nothing?; 18. The broken mirrors; 19. The neutrinos; 20. Some final questions; Acknowledgments; References