Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Palmer J. — Planar Ising Correlations
Palmer J. — Planar Ising Correlations

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Planar Ising Correlations

Автор: Palmer J.

Аннотация:

Understanding certain exactly solvable models in statistical mechanics and quantum field theory from a mathematical physics perspective is a very important and active area of research. These models include the scaling limits of the 2-D Ising (lattice) model, and more generally, a class of 2-D quantum fields known as holonomic fields. Steady progress has been made in understanding the special mathematical features of these models. Over the years, new results have made it possible to obtain a detailed nonperturbative analysis of the many spin correlations. This book is principally devoted to an analysis showing that the scaling functions are tau functions associated with monodromy-preserving deformations of the Dirac equation. While charting a fairly direct route to this analysis via new results of Palmer and others, as well as previous research of the Kyoto School — Sato, Miwa, and Jimbo — are the primary focus of this book, other interesting mathematical insights occur all along the way. For example, the Ising model has been a source of rich mathematics from Szego limit theorems to Wick type theorems for infinite spin groups. Also, some aspects of the solution of the Ising model are elegantly expressed in terms of Pfaffian and determinant bundles over infinite dimensional Grassmannians. These construct generalize the more familar objects in finite dimensional algebraic geometry and have appeared only recently in the mathematics literature. Exploring the Ising model as a microcosm of the confluence of interesting ideas in mathematics and physics, this work will appeal to graduate students, mathematicians, and physicists interested in the mathematics of statistical mechanics and quantum field theory.


Язык: en

Рубрика: Разное/

Статус предметного указателя: Неизвестно

ed2k: ed2k stats

Год издания: 2007

Количество страниц: 382

Добавлена в каталог: 30.10.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2018
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте