Lattice fractional quantum field theory: Exact differences approach

Tarasov, V.E.

Автор: Tarasov V.E.
Журнал: Modern Physics Letters A
Том: 36
Номер: 14
Год издания: 2021
Издательство: World Scientific Publishing Co
Местоположение издательства: Singapore
Первая страница: 2140001-1
Последняя страница: 2140001-38
Номер статьи: 2140001
DOI: 10.1142/S0217732321400010
Аннотация: An approach, which is based on exact fractional differences, is used to formulate a lattice fractional field theories on unbounded lattice spacetime. An exact discretization of differential and integral operators of integer and non-integer orders is suggested. New type of fractional differences of integer and non-integer orders, which are represented by infinite series, are used in quantum field theory with non-locality. These exact differences have a property of universality, which means that these operators do not depend on the form of differential equations and the parameters of these equations. In addition, characteristic feature of the suggested differences is an implementation of the same algebraic properties that have the operator of differentiation (property of algebraic correspondence). Lattice analogs of the fractional-order N-dimensional differential operators are proposed. The continuum limit of the suggested lattice field theory gives a fractional field theory for the continuum four-dimensional spacetime. The fractional field equations, which are derived from equations for lattice spacetime with long-range properties of power-law type, contain the Riesz type derivatives on non-integer orders with respect to spacetime coordinates.
Добавил в систему: Тарасов Василий Евгеньевич

	ИСТИНА	Войти в систему Регистрация
	ИСТИНА ИНХС РАН
	Главная Поиск Статистика О проекте Помощь

ИСТИНА

ИСТИНА ИНХС РАН

Lattice fractional quantum field theory: Exact differences approachстатья

Прикрепленные файлы