4 edition of **Integrable Structures of Exactly Solvable Two Dimensional Models of Quantum Field Theory** found in the catalog.

- 41 Want to read
- 40 Currently reading

Published
**August 31, 2001**
by Springer
.

Written in English

- Relativistic quantum mechanics & quantum field theory,
- Science/Mathematics,
- Numerical solutions,
- Mathematical Physics,
- Science,
- Quantum Theory,
- Physics,
- General,
- Waves & Wave Mechanics,
- Medical : General,
- Science / Nuclear Physics,
- Science / Waves & Wave Mechanics,
- Science : Physics,
- Congresses,
- Integral equations,
- Lattice field theory,
- Quantum Field Theory

**Edition Notes**

Contributions | S. Pakuliak (Editor), G. von Gehlen (Editor) |

The Physical Object | |
---|---|

Format | Hardcover |

Number of Pages | 344 |

ID Numbers | |

Open Library | OL7809527M |

ISBN 10 | 0792371836 |

ISBN 10 | 9780792371830 |

Integrable structures of exactly solvable two-dimensional models of quantum field theory (Kiev, ). Various aspects of solvable models in different areas of theoretical and mathematical physics are covered. Particular topics include diffusion, self-organized criticality, classical and quantum spin chains, two-dimensional lattice models, quantum algebras, and conformal field theory.

Relations between quantum integrable models solvable by the quantum inverse scattering method and some aspects of enumerative combinatorics and partition theory are discussed. The main example is the Heisenberg spin . A class of exactly solvable models of the conformally invariant quantum field theory in D dimensions is proposed. It is shown that in any conformal theory of the field φ(x) with the scale dimension d there exists an infinite collection of the tensor fields P s of the ranks and the dimensions d s =d+s independently of the type of interaction. These tensor fields appear in the .

Exactly solvable models in (1+1) dimensional quantum field theory and in two-dimensional classical statistical mechanics have a common property, i.e. commuting transfer matrices. The quantum inverse scattering theory (and the Yang-Baxter equation on which is based) has placed the theory of exactly solvable models in a unified framework and has. BibTeX @INPROCEEDINGS{Bugrij_formfactor, author = {A. I. Bugrij}, title = {Form factor representation of the correlation function of the two dimensional Ising model on a cylinder. To be published}, booktitle = {in “Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory”, eds. S. Pakuliak and G. von Gehlen, Kluwer Academic .

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Integrable quantum field theories and integrable lattice models have been studied for several decades, but during the last few years new ideas have emerged that have considerably changed the topic. The first group of papers published here is concerned with integrable structures of quantum lattice models related to quantum group symmetries.

Buy Integrable Structures of Exactly Solvable Two Dimensional Models of Quantum Field Theory on FREE SHIPPING on qualified orders Integrable Structures of Exactly Solvable Two Dimensional Models of Quantum Field Theory: Pakuliak, S., von Gehlen, G.: : Books.

Request PDF | Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory | Finite-dimensional representations of Onsager's algebra are characterized by the zeros of. For 1+1 dimensional field theory the inverse scattering method is an appropriate method.

It is based on the zero-curvature representation. In quantum theory it leads to the Yang-Baxter algebras and quantum groups.

These are useful for description of the connections between the supersymmetric gauge theories and quantum integrable systems. Common integrals in quantum field theory are all variations and generalizations of Gaussian integrals to the complex plane and to multiple dimensions.

Other integrals can be approximated by versions of the Gaussian integral. Fourier integrals are also considered. Advanced Studies in Pure Mathematics, Volume Integrable Systems in Quantum Field Theory and Statistical Mechanics provides information pertinent to the advances in the study of pure mathematics.

This book covers a variety of topics, including statistical mechanics, eigenvalue spectrum, conformal field theory, quantum groups and integrable.

In: Pakuliak S., von Gehlen G. (eds) Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory.

NATO Science Series (Series II: Mathematics, Physics and Chemistry), vol The integrable structure of the two-dimensional superconformal field theory is considered. The classical counterpart of our constructions is based on the overlineosp(1|2) super-KdV hierarchy. The quantum version of the monodromy matrix associated with the linear problem for the corresponding L-operator is introduced.

Using the explicit form of the irreducible. This monograph introduces the reader to basic notions of integrable techniques for one-dimensional quantum systems.

In a pedagogical way, a few examples of exactly solvable models are worked out to go from the coordinate approach to the Algebraic Bethe Ansatz, with some discussion on the finite temperature thermodynamics. The aim is to provide the.

Nuclear Physics B () North-Holland Publishing Company INFINITE CONFORMAL SYMMETRY IN TWO-DIMENSIONAL QUANTUM FIELD THEORY A A BELAVIN, A M POLYAKOV and A B ZAMOLODCHIKOV L D Landau Institute for Theoretical Physics, Academy of Sciences, Kosygina 2.

Moscow, USSR Received 22 November We present an investigation of the massless, two-dimensional, interacting field. Get this from a library. Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory. [S Pakuliak; G Gehlen] -- Integrable quantum field theories and integrable lattice models have been studied for several decades, but during the last few years new ideas have emerged that have considerably changed the topic.

The 2D CFTs are the perfect and probably best known example of exactly solvable quantum field theories. From the yearwhen the concept of CFT was first introduced in an article by Belavin, Polyakov and Zamolodchikov [], up to the present day, they have received a great deal of attention and most of their features are now known, to the point of making them a self-contained theory.

This book introduces the reader to basic notions of integrable techniques for one-dimensional quantum systems. In a pedagogical way, a few examples of exactly solvable models are worked out to go from the coordinate approach to the Algebraic Bethe Ansatz, with some discussion on the finite temperature thermodynamics.

This book is an introduction to statistical field theory, which is an important subject within theoretical physics and a field that has seen substantial progress in recent years. The book covers fundamental topics in great detail and includes areas like conformal field theory, quantum integrability, S-matrices, braiding groups, Bethe ansatz, renormalization groups.

Integrable structures of exactly solvable two-dimensional models of quantum field theory. Dordrecht ; Boston: Kluwer Academic Publishers, published in cooperation with NATO Scientific Affairs Division, © (OCoLC) Material Type: Conference publication, Internet resource: Document Type: Book, Internet Resource: All Authors.

There exists a large number of two-dimensional exactly solvable models in statistical mechanics and quantum field theory, but only a few three-dimensional examples are known. Nevertheless the later provide deep insights into mathematical structure of integrable systems. Perelomov's research works with 5, citations and 2, reads, including: NewGoldfishPRINT.

exactly solvable model in terms of an infinite 1D Kronig-Penney model of the full 2D or 3D structure. This approximation is due to John and Wang.

It amounts to replacing the Brilloun zone (BZ) of the 2D structure by a perfect circle, or of the 3D one by a perfect sphere—the same circle or sphere for both polarizations [5].

Exactly solvable models, that is, models with explicitly and completely diagonalizable Hamiltonians are too few in number and insufficiently diverse to meet the requirements of modern quantum physics.

Quasi-exactly solvable (QES) models (whose Hamiltonians admit an explicit diagonalization only for some limited segments of the spectrum) provide a practical way gh QES models.

Buy Back-of-the-envelope Quantum Mechanics: With Extensions To Many-body Systems And Integrable Pdes by Maxim Olchanyi (Olshanii) from Waterstones today.

Click and Collect from your local Waterstones or get FREE UK delivery on orders over £. Buy (ebook) Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory by G. von Gehlen, S. Pakuliak, eBook format, from the Dymocks online bookstore.While it is occasionally stated that exactly solvable models are too special to provide useful lessons for physics, at least one striking historical example suggests the opposite: Onsager’s exact solution of the Ising model led to many fundamental ideas in quantum ﬁeld theory.A conformal field theory (CFT) is a quantum field theory that is invariant under conformal two dimensions, there is an infinite-dimensional algebra of local conformal transformations, and conformal field theories can sometimes be exactly solved or classified.

Conformal field theory has important applications to condensed matter physics, statistical mechanics, quantum.