Anagram & Information om | Engelska ordet SPINORS

Exempel på hur man kan använda SPINORS i en mening

• This property characterizes spinors: spinors can be viewed as the "square roots" of vectors (although this is inaccurate and may be misleading; they are better viewed as "square roots" of sections of vector bundles – in the case of the exterior algebra bundle of the cotangent bundle, they thus become "square roots" of differential forms).
• Tangloids is a mathematical game for two players created by Piet Hein to model the calculus of spinors.
• In high energy physics, K-theory and in particular twisted K-theory have appeared in Type II string theory where it has been conjectured that they classify D-branes, Ramond–Ramond field strengths and also certain spinors on generalized complex manifolds.
• It appears in the plane-wave solution to the Dirac equation, and is a certain combination of two Weyl spinors, specifically, a bispinor that transforms "spinorially" under the action of the Lorentz group.
• A definition for Lie derivatives of spinors along generic spacetime vector fields, not necessarily Killing ones, on a general (pseudo) Riemannian manifold was already proposed in 1971 by Yvette Kosmann.
• In this case, one takes ordinary Minkowski space, and extends it with anti-commuting fermionic degrees of freedom, taken to be anti-commuting Weyl spinors from the Clifford algebra associated to the Lorentz group.
• According to the representation theory of the Lorentz group, these quantities are built out of scalars, four-vectors, four-tensors, and spinors.
• Nor was there a sufficient awareness of the concept of gauge symmetry to understand that Riemannian geometries do not possess the requisite structure to embody a locally gauged Lorentz symmetry, such as would be required to be able to express continuity equations and conservation laws for rotational and boost symmetries, or to describe spinors in curved spacetime geometries.
• This problem was discovered in field theories of interacting scalars and spinors, including quantum electrodynamics (QED), and Lehmann positivity led many to suspect that it is unavoidable.
• The Dirac adjoint is motivated by the need to form well-behaved, measurable quantities out of Dirac spinors, replacing the usual role of the Hermitian adjoint.
• In physics, Killing spinors are used in supergravity and superstring theory, in particular for finding solutions which preserve some supersymmetry.
• The original case which concerned Paul Dirac was to factorise formally an operator for Minkowski space, to get a form of quantum theory compatible with special relativity; to get the relevant Laplacian as a product of first-order operators he introduced spinors.
• In fact, the Yukawa interaction involving a scalar and a Dirac spinor can be thought of as a Yukawa interaction involving a scalar with two Majorana spinors of the same mass.
• Doing this allows for additional anticommutating generators known as supercharges which transform as spinors under Lorentz transformations.
• When constructing theories such as QED which is invariant under space parity and time reversal, Dirac spinors may be used, while theories that do not, such as the electroweak force, must be formulated in terms of Weyl spinors.
• All known spin  particles have non-zero mass; however, for hypothetical massless spin  particles (the Weyl spinors), helicity is equivalent to the chirality operator multiplied by.
• Mathematically, LQG is local gauge theory of the self-dual subgroup of the EXPANDED Lorentz group, which is related to the action of the Lorentz group on Weyl spinors commonly used in elementary particle physics.
• In 1929, Ivanenko and Fock described the parallel displacement of spinors in curved space-time (the famous Ivanenko–Fock coefficients).
• In addition, one twists fermions so as to produce covariantly constant spinors generating unbroken supersymmetries.
• In quantum electrodynamics (QED) the electron mass unites left and right handed spinors forming a 4 component Dirac spinor.

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