Covariant Hamiltonian field theory. Path integral quantization

Bashkirov, D.; Sardanashvily, G.

Информация о цитировании статьи получена из Web of Science, Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.

Авторы: Bashkirov D., Sardanashvily G.
Журнал: International Journal of Theoretical Physics
Том: 43
Год издания: 2004
Издательство: Kluwer Academic/Plenum Publishers
Местоположение издательства: United States
Первая страница: 1317
Последняя страница: 1333
DOI: 10.1023/B:IJTP.0000048617.61374.4d
Аннотация: The Hamiltonian counterpart of classical Lagrangian field theory is covariant Hamiltonian field theory where momenta correspond to derivatives of fields with respect to all world coordinates. In particular, classical Lagrangian and covariant Hamiltonian field theories are equivalent in the case of a hyperregular Lagrangian, and they are quasi-equivalent if a Lagrangian is almost-regular. In order to quantize covariant Hamiltonian field theory, one usually attempts to construct and quantize a multisymplectic generalization of the Poisson bracket. In the present work, the path integral quantization of covariant Hamiltonian field theory is suggested. We use the fact that a covariant Hamiltonian field system is equivalent to a certain Lagrangian system on a phase space which is quantized in the framework of perturbative quantum field theory. We show that, in the case of almost-regular quadratic Lagrangians, path integral quantizations of associated Lagrangian and Hamiltonian field systems are equivalent.
Добавил в систему: Сарданашвили Геннадий Александрович

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Covariant Hamiltonian field theory. Path integral quantizationстатья

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