Integrable Quantum Field Theories And Their Applications - Procs Of The Apctp Winter School

Integrable Quantum Field Theories And Their Applications - Procs Of The Apctp Winter School
Author: Changrim Ahn
Publisher: World Scientific
Total Pages: 354
Release: 2001-09-25
Genre: Science
ISBN: 9814490180

This volume includes several lecture notes on the fundamentals and elementary techniques of integrable field theories and on their applications to low-dimensional physics systems contributed by leading scientists in the respective fields. The main topics covered are various aspects of the thermodynamic Bethe ansatz, form factors, Calogero (and related) models, sigma models, conformal boundary conditions, etc. The volume presents both pedagogical material and a current research trend in the field.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)

Integrable Quantum Field Theories and Their Application

Integrable Quantum Field Theories and Their Application
Author: Changrim Ahn
Publisher: World Scientific
Total Pages: 360
Release: 2001
Genre: Mathematics
ISBN: 9789812799739

Applications of reflection amplitudes in Toda-type theories / C. Ahn, C. Kim and C. Rim -- Lax pairs and involutive Hamiltonians for CN and BCN Ruijsenaars-Schneider models / Kai Chen, B.-Y. Hou and W.-L. Yang -- Fateev's models and their applications / D. Controzzi and A.M. Tsvelik -- The ODE/IM correspondence / P. Dorey, C. Dunning and R. Tateo -- Integrable sigma models / P. Fendley -- Lorentz lattice gases and spin chains / M.J. Martins -- Quantum Calogero-Moser models for any root system / R. Sasaki -- Quasi-particles in conformal field theories for fractional quantum Hall systems / K. Schoutens and R.A.J. van Elburg -- Towards form factors in finite volume / F.A. Smirnov -- Static and dynamic properties of trapped Bose-Einstein condensates / T. Tsurumi, H. Morise and M. Wadati -- Integrability of the Calogero Model: Conserved quantities, the classical general solution and the quantum orthogonal basis / H. Ujino, A. Nishino and M. Wadati -- Conformal boundary conditions / J.-B. Zuber

Integrable Quantum Field Theories and Their Application

Integrable Quantum Field Theories and Their Application
Author: Changrim Ahn
Publisher: World Scientific
Total Pages: 354
Release: 2001
Genre: Science
ISBN: 9810247370

This volume includes several lecture notes on the fundamentals and elementary techniques of integrable field theories and on their applications to low-dimensional physics systems contributed by leading scientists in the respective fields. The main topics covered are various aspects of the thermodynamic Bethe ansatz, form factors, Calogero (and related) models, sigma models, conformal boundary conditions, etc. The volume presents both pedagogical material and a current research trend in the field.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)

Integrable Quantum Field Theories

Integrable Quantum Field Theories
Author: L. Bonora
Publisher: Springer Science & Business Media
Total Pages: 330
Release: 2013-11-11
Genre: Science
ISBN: 1489915168

Proceedings of a NATO ARW held in Como, Italy, September 14-19, 1992

Functional Integration

Functional Integration
Author: Cécile Dewitt-Morette
Publisher: Springer Science & Business Media
Total Pages: 436
Release: 2013-11-11
Genre: Science
ISBN: 1489903194

The program of the Institute covered several aspects of functional integration -from a robust mathematical foundation to many applications, heuristic and rigorous, in mathematics, physics, and chemistry. It included analytic and numerical computational techniques. One of the goals was to encourage cross-fertilization between these various aspects and disciplines. The first week was focused on quantum and classical systems with a finite number of degrees of freedom; the second week on field theories. During the first week the basic course, given by P. Cartier, was a presentation of a recent rigorous approach to functional integration which does not resort to discretization, nor to analytic continuation. It provides a definition of functional integrals simpler and more powerful than the original ones. Could this approach accommodate the works presented by the other lecturers? Although much remains to be done before answering "Yes," there seems to be no major obstacle along the road. The other courses taught during the first week presented: a) a solid introduction to functional numerical techniques (A. Sokal) and their applications to functional integrals encountered in chemistry (N. Makri). b) integrals based on Poisson processes and their applications to wave propagation (S. K. Foong), in particular a wave-restorer or wave-designer algorithm yielding the initial wave profile when one can only observe its distortion through a dissipative medium. c) the formulation of a quantum equivalence principle (H. Kleinert) which. given the flat space theory, yields a well-defined quantum theory in spaces with curvature and torsion.

Quantum Fields and Strings: A Course for Mathematicians

Quantum Fields and Strings: A Course for Mathematicians
Author: Pierre Deligne
Publisher: American Mathematical Society
Total Pages: 801
Release: 1999-10-25
Genre: Mathematics
ISBN: 0821820133

A run-away bestseller from the moment it hit the market in late 1999. This impressive, thick softcover offers mathematicians and mathematical physicists the opportunity to learn about the beautiful and difficult subjects of quantum field theory and string theory. Cover features an intriguing cartoon that will bring a smile to its intended audience.

Grassmannian Geometry of Scattering Amplitudes

Grassmannian Geometry of Scattering Amplitudes
Author: Nima Arkani-Hamed
Publisher: Cambridge University Press
Total Pages: 205
Release: 2016-05-05
Genre: Science
ISBN: 1316571645

Outlining a revolutionary reformulation of the foundations of perturbative quantum field theory, this book is a self-contained and authoritative analysis of the application of this new formulation to the case of planar, maximally supersymmetric Yang–Mills theory. The book begins by deriving connections between scattering amplitudes and Grassmannian geometry from first principles before introducing novel physical and mathematical ideas in a systematic manner accessible to both physicists and mathematicians. The principle players in this process are on-shell functions which are closely related to certain sub-strata of Grassmannian manifolds called positroids - in terms of which the classification of on-shell functions and their relations becomes combinatorially manifest. This is an essential introduction to the geometry and combinatorics of the positroid stratification of the Grassmannian and an ideal text for advanced students and researchers working in the areas of field theory, high energy physics, and the broader fields of mathematical physics.

Pt Symmetry: In Quantum And Classical Physics

Pt Symmetry: In Quantum And Classical Physics
Author: Carl M Bender
Publisher: World Scientific Publishing
Total Pages: 469
Release: 2018-11-22
Genre: Science
ISBN: 1786345978

'The text is easy to read because the matter is clearly explained. Symmetries are a central component of physical laws, and the PT-symmetry proves to be very interesting and fruitful. The discussion of the matter is up-to-date and self-contained. The book is recommended to students of higher courses, PhD and researchers. It is also a basic read to those who wish to have an insight into this field.'Contemporary PhysicsOriginated by the author in 1998, the field of PT (parity-time) symmetry has become an extremely active and exciting area of research. PT-symmetric quantum and classical systems have theoretical, experimental, and commercial applications, and have been the subject of many journal articles, PhD theses, conferences, and symposia. Carl Bender's work has influenced major advances in physics and generations of students.This book is an accessible entry point to PT symmetry, ideal for students and scientists looking to begin their own research projects in this field.