Published December 2001
| Version v1
Journal article
Reduction in path integrals on a Riemannian manifold with group action
Description
A new method for the factorization of the path-integral measure in path integrals for a particle motion on a compact Riemannian manifold with a free isometric unimodular group action is proposed. It is shown that path-integral measure is not invariant under the factorization. An integral relation between the path integral given on the total space and the path integral on the base space is obtained
Abstract (Russian)
Предлагается новый метод факторизации меры интегралов по траекториям (ИТ) для ИТ, описывающих движение частиц в компактном римановом многосвязном пространстве со свободным изометрическим унимодулярным групповым действием. Показано, что мера ИТ при факторизации неинвариантна. Получено интегральное соотношение между ИТ, заданным на полном пространстве, и ИТ на базовом пространствеAdditional details
Publishing Information
- Journal Title
- Yadernaya Fizika
- Journal Volume
- 64
- Journal Issue
- 12
- Journal Page Range
- p. 2288-2294
- ISSN
- 0044-0027
- CODEN
- IDFZA7
Conference
- Title
- 23. International colloquium on group theoretical methods in physics. Symposium on group theory and path integrals
- Dates
- 31 Jul - 5 Aug 2000
- Place
- Dubna (Russian Federation)
INIS
- Country of Publication
- Russian Federation
- Country of Input or Organization
- Russian Federation
- INIS RN
- 34045394
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- ACTION INTEGRAL; BOGOLYUBOV TRANSFORMATION; ELEMENTARY PARTICLES; FACTORIZATION; FEYNMAN PATH INTEGRAL; RIEMANN SPACE; SMOOTH MANIFOLDS
- Descriptors DEC
- CANONICAL TRANSFORMATIONS; INTEGRALS; MATHEMATICAL MANIFOLDS; MATHEMATICAL SPACE; SPACE; TRANSFORMATIONS
Optional Information
- Notes
- 14 refs.