Shore, Graham C and a-theorems and the local renormalisation group 9783319539997

Варианты приобретения

Цена: 7685.00р.
Кол-во:
Наличие: Поставка под заказ. Есть в наличии на складе поставщика.
Склад Америка: Есть
При оформлении заказа до: 2025-07-28
Ориентировочная дата поставки: Август-начало Сентября
При условии наличия книги у поставщика.

Добавить в корзину

в Мои желания

Автор: Shore, Graham
Название: C and a-theorems and the local renormalisation group
ISBN: 9783319539997
Издательство: Springer
Классификация:

Квантовая физика (квантовая механика и квантовая теория поля)

Статистическая физика

Математическая физика

ISBN-10: 331953999X
Обложка/Формат: Paperback
Страницы: 102
Вес: 0.19 кг.
Дата издания: 07.04.2017
Серия: Springerbriefs in physics
Язык: English
Издание: 1st ed. 2017
Иллюстрации: 3 illustrations, color; 2 illustrations, black and white; vii, 102 p. 5 illus., 3 illus. in color.
Размер: 157 x 234 x 15
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
Рейтинг:
Поставляется из: Германии
Описание:

The Zamolodchikov c-theorem has led to important new insights in the understanding of the Renormalisation Group (RG) and the geometry of the space of QFTs. The present primer introduces and reviews the parallel developments of the search for a higher-dimensional generalisation of the c-theorem and of the Local RG (LRG).

The idea of renormalisation with position-dependent couplings, running under local Weyl scaling, is traced from its early realisations to the elegant modern formalism of the LRG. The key r le of the associated Weyl consistency conditions in establishing RG flow equations for the coefficients of the trace anomaly in curved spacetime, and their relation to the c-theorem and four-dimensional a-theorem, is explained in detail.

A number of different derivations of the c-theorem in two dimensions are presented and subsequently generalised to four dimensions. The obstructions to establishing monotonic C-functions related to the trace anomaly coefficients in four dimensions are explained. The possibility of deriving an a-theorem for the coefficient of the Euler-Gauss-Bonnet density is explored, initially by formulating the QFT on maximally symmetric spaces. Then the formulation of the weak a-theorem using a dispersion relation for four-point functions is presented.

Finally, the application of the LRG to the issue of limit cycles in theories with a global symmetry is described, shedding new light on the geometry of the space of couplings in QFT.

C and a-theorems and the local renormalisation group, Shore, Graham