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20 relations: Action (physics), Adjoint representation, Background field method, Bilinear form, Connection form, Curvature form, Degeneracy (mathematics), Diffeomorphism, Differentiable manifold, Differential form, Euler–Lagrange equation, Exterior covariant derivative, Field (physics), Gauge theory, Killing form, Lagrangian (field theory), Quantization (physics), Semisimple Lie algebra, Spin foam, Topological quantum field theory.
Action (physics)
In physics, action is an attribute of the dynamics of a physical system from which the equations of motion of the system can be derived.
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Adjoint representation
In mathematics, the adjoint representation (or adjoint action) of a Lie group G is a way of representing the elements of the group as linear transformations of the group's Lie algebra, considered as a vector space.
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Background field method
In theoretical physics, background field method is a useful procedure to calculate the effective action of a quantum field theory by expanding a quantum field around a classical "background" value B: After this is done, the Green's functions are evaluated as a function of the background.
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Bilinear form
In mathematics, more specifically in abstract algebra and linear algebra, a bilinear form on a vector space V is a bilinear map, where K is the field of scalars.
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Connection form
In mathematics, and specifically differential geometry, a connection form is a manner of organizing the data of a connection using the language of moving frames and differential forms.
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Curvature form
In differential geometry, the curvature form describes the curvature of a connection on a principal bundle.
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Degeneracy (mathematics)
In mathematics, a degenerate case is a limiting case in which an element of a class of objects is qualitatively different from the rest of the class and hence belongs to another, usually simpler, class.
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Diffeomorphism
In mathematics, a diffeomorphism is an isomorphism of smooth manifolds.
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Differentiable manifold
In mathematics, a differentiable manifold (also differential manifold) is a type of manifold that is locally similar enough to a linear space to allow one to do calculus.
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Differential form
In the mathematical fields of differential geometry and tensor calculus, differential forms are an approach to multivariable calculus that is independent of coordinates.
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Euler–Lagrange equation
In the calculus of variations, the Euler–Lagrange equation, Euler's equation, or Lagrange's equation (although the latter name is ambiguous—see disambiguation page), is a second-order partial differential equation whose solutions are the functions for which a given functional is stationary.
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Exterior covariant derivative
In mathematics, the exterior covariant derivative is an analog of an exterior derivative that takes into account the presence of a connection.
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Field (physics)
In physics, a field is a physical quantity, represented by a number or tensor, that has a value for each point in space and time.
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Gauge theory
In physics, a gauge theory is a type of field theory in which the Lagrangian is invariant under certain Lie groups of local transformations.
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Killing form
In mathematics, the Killing form, named after Wilhelm Killing, is a symmetric bilinear form that plays a basic role in the theories of Lie groups and Lie algebras.
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Lagrangian (field theory)
Lagrangian field theory is a formalism in classical field theory.
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Quantization (physics)
In physics, quantization is the process of transition from a classical understanding of physical phenomena to a newer understanding known as quantum mechanics.
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Semisimple Lie algebra
In mathematics, a Lie algebra is semisimple if it is a direct sum of simple Lie algebras, i.e., non-abelian Lie algebras \mathfrak g whose only ideals are and \mathfrak g itself.
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Spin foam
In physics, the topological structure of spinfoam or spin foam consists of two-dimensional faces representing a configuration required by functional integration to obtain a Feynman's path integral description of quantum gravity.
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Topological quantum field theory
A topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes topological invariants.
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