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Gluon field information


In theoretical particle physics, the gluon field is a four-vector field characterizing the propagation of gluons in the strong interaction between quarks. It plays the same role in quantum chromodynamics as the electromagnetic four-potential in quantum electrodynamics – the gluon field constructs the gluon field strength tensor.

Throughout this article, Latin indices take values 1, 2, ..., 8 for the eight gluon color charges, while Greek indices take values 0 for timelike components and 1, 2, 3 for spacelike components of four-dimensional vectors and tensors in spacetime. Throughout all equations, the summation convention is used on all color and tensor indices, unless explicitly stated otherwise.

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Gluon field

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In theoretical particle physics, the gluon field is a four-vector field characterizing the propagation of gluons in the strong interaction between quarks...

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Gluon

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the gluon have only two polarization states because gauge invariance requires the field polarization to be transverse to the direction that the gluon is...

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Gluon field strength tensor

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theoretical particle physics, the gluon field strength tensor is a second order tensor field characterizing the gluon interaction between quarks. The strong...

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Color charge

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Color charge is a property of quarks and gluons that is related to the particles' strong interactions in the theory of quantum chromodynamics (QCD). Like...

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Gluon condensate

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responsible for giving masses to light mesons. If the gluon field tensor is represented as Gμν, then the gluon condensate is the vacuum expectation value ⟨ G μ ν...

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Color confinement

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the gluon field between a pair of color charges forms a narrow flux tube (or string) between them. Because of this behavior of the gluon field, the strong...

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Electromagnetic tensor

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Classification of electromagnetic fields Covariant formulation of classical electromagnetism Electromagnetic stress–energy tensor Gluon field strength tensor Ricci...

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Quantum chromodynamics

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mediated by gluons. Quarks are fundamental particles that make up composite hadrons such as the proton, neutron and pion. QCD is a type of quantum field theory...

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Gauge theory

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chromodynamics Gluon field Gluon field strength tensor Quantum electrodynamics Electromagnetic four-potential Electromagnetic tensor Quantum field theory Standard...

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Tensor field

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physics, a tensor field assigns a tensor to each point of a mathematical space (typically a Euclidean space or manifold). Tensor fields are used in differential...

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QCD vacuum

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non-perturbative vacuum state, characterized by non-vanishing condensates such as the gluon condensate and the quark condensate in the complete theory which includes...

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Transpose

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transpose, since they share the same characteristic polynomial. Over any field k {\displaystyle k} , a square matrix A {\displaystyle \mathbf {A} } is...

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Tensor calculus

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analysis, or Ricci calculus is an extension of vector calculus to tensor fields (tensors that may vary over a manifold, e.g. in spacetime). Developed by...

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Quantum field theory

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contains three Dirac fields ψi, i = 1,2,3 representing quark fields as well as eight vector fields Aa,μ, a = 1,...,8 representing gluon fields, which are the...

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Mathematical formulation of the Standard Model

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W_{1},W_{2},W_{3}} , and B; the gluon field, Ga; and the Higgs field, φ. That these are quantum rather than classical fields has the mathematical consequence...

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Dot product

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abstract vector spaces over a field of scalars, being either the field of real numbers R {\displaystyle \mathbb {R} } or the field of complex numbers C {\displaystyle...

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Quantum fluctuation

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electromagnetic force carried by photons, W and Z fields which carry the weak force, and gluon fields which carry the strong force. Vacuum fluctuations...

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Up quark

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of quarks becomes greater because of the binding energy caused by the gluon field between each quark (see mass–energy equivalence). The bare mass of up...

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Down quark

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of quarks becomes greater because of the binding energy caused by the gluon field between quarks (see mass–energy equivalence). For example, the effective...

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Magnetic vector potential

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quantum electrodynamics. Magnetic scalar potential Aharonov–Bohm effect Gluon field Neumann, Franz Ernst (January 1, 1846). "Allgemeine Gesetze Der Inducirten...

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Einstein notation

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Angular momentum tensor Spin tensor Cauchy stress tensor stress–energy tensor Einstein tensor EM tensor Gluon field strength tensor Metric tensor (GR)...

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Continuity equation

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color charge currents (explicit expressions for currents are given at gluon field strength tensor). There are many other quantities in particle physics...

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Asymptotic freedom

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quantum chromodynamics (QCD), the quantum field theory of the strong interaction between quarks and gluons, the fundamental constituents of nuclear matter...

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Manifold

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length, angles, areas (or volumes), curvature and divergence of vector fields. All differentiable manifolds (of constant dimension) can be given the structure...

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Moment of inertia

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Angular momentum tensor Spin tensor Cauchy stress tensor stress–energy tensor Einstein tensor EM tensor Gluon field strength tensor Metric tensor (GR)...

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Tensor contraction

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be seen as a generalization of the trace. Let V be a vector space over a field k. The core of the contraction operation, and the simplest case, is the...

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