منابع مشابه
Lagrangian Formalism for Tensor Fields
The Lagrangian formalism for tensor fields over differentiable manifolds with different (not only by sign) contravariant and covariant affine connections and a metric [(Ln, g)-spaces] is considered. The functional variation and the Lie variation of a Lagrangian density, depending on components of tensor fields (with finite rank) and their first and second covariant derivatives are established. ...
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We present an introduction to the mathematical theory of the Lagrangian formalism for multiform fields on Minkowski spacetime based on the multiform and extensor calculus. Our formulation gives a unified mathematical description for the main relativistic field theories including the gravitational field (which however will be discussed in a separate paper). We worked out several examples (includ...
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The rules for constructing Lagrangian formulation for general superfield theory of fields (GSTF) are introduced and considered on the whole in the framework of proposed here new general superfield quantization method for general gauge theories. Algebraic, group-theoretic and analytic description aspects for supervariables over (Grassmann) algebras containing anticommuting generating element θ a...
متن کاملLagrangian Formalism of θ-Superfield Theory of Fields
The rules for constructing Lagrangian formulation for θ-superfield theory of fields (θSTF) are introduced and considered on the whole in the framework of proposed here new general superfield quantization method for general gauge theories. Algebraic, group-theoretic and analytic description aspects for supervariables over (Grassmann) algebras containing anticommuting generating element θ and int...
متن کاملLagrangian Formalism over Graded Algebras
This paper provides a description of an algebraic setting for the Lagrangian formalism over graded algebras and is intended as the necessary first step towards the noncommutative C-spectral sequence (variational bicomplex). A noncommutative version of integration procedure, the notion of adjoint operator, Green’s formula, the relation between integral and differential forms, conservation laws, ...
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ژورنال
عنوان ژورنال: Scholarpedia
سال: 2010
ISSN: 1941-6016
DOI: 10.4249/scholarpedia.10223