منابع مشابه
Canonical Formalism for Lagrangians of Maximal Nonlocality
A canonical formalism for Lagrangians of maximal nonlocality is established. The method is based on the familiar Legendre transformation to a new function which can be derived from the maximally nonlocal Lagrangian. The corresponding canonical equations are derived through the standard procedure in local theory and appear much like those local ones, though the implication of the equations is la...
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In the previous paper [1] it was shown that the nonlinear Born-Infeld field equations supplemented by the “dynamical condition” (certain boundary condition for the field along the particle’s trajectory) define perfectly deterministic theory, i.e. particle’s trajectory is determined without any equations of motion. In the present paper we show that this theory possesses mathematically consistent...
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We give an SU(2) covariant representation of the constraints of Euclidean general relativity in the Ashtekar variables. The guiding principle is the use of triads to transform all free spatial indices into SU(2) indices. A central role is played by a special covariant derivative. The Gauss, diffeomorphism and Hamiltonian constraints become purely algebraic restrictions on the curvature and the ...
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I consider Lagrangians which depend nonlocally in time but in such a way that there is no mixing between times differing by more than some finite value ∆t. By considering these systems as the limits of ever higher derivative theories I obtain a canonical formalism in which the coordinates are the dynamical variable from t to t+∆t. A simple formula for the conjugate momenta is derived in the sam...
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The Barbero–Immirzi (BI) parameter is promoted to a field and a canonical analysis is performed when it is coupled with a Nieh–Yan topological invariant. It is shown that, in the effective theory, the BI field is a canonical pseudoscalar minimally coupled with gravity. This framework is argued to be more natural than the one of the usual Holst action. Potential consequences in relation with inf...
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ژورنال
عنوان ژورنال: Annals of Physics
سال: 1965
ISSN: 0003-4916
DOI: 10.1016/0003-4916(65)90016-3