Further information: Ricci calculus, Special unitary group, and Quantum chromodynamics
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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. 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.
In theoretical particle physics, the gluonfield is a four-vector field characterizing the propagation of gluons in the strong interaction between quarks...
the gluon have only two polarization states because gauge invariance requires the field polarization to be transverse to the direction that the gluon is...
theoretical particle physics, the gluonfield strength tensor is a second order tensor field characterizing the gluon interaction between quarks. The strong...
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...
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...
the gluonfield between a pair of color charges forms a narrow flux tube (or string) between them. Because of this behavior of the gluonfield, the strong...
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...
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...
non-perturbative vacuum state, characterized by non-vanishing condensates such as the gluon condensate and the quark condensate in the complete theory which includes...
transpose, since they share the same characteristic polynomial. Over any field k {\displaystyle k} , a square matrix A {\displaystyle \mathbf {A} } is...
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...
contains three Dirac fields ψi, i = 1,2,3 representing quark fields as well as eight vector fields Aa,μ, a = 1,...,8 representing gluonfields, which are the...
W_{1},W_{2},W_{3}} , and B; the gluonfield, Ga; and the Higgs field, φ. That these are quantum rather than classical fields has the mathematical consequence...
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...
electromagnetic force carried by photons, W and Z fields which carry the weak force, and gluonfields which carry the strong force. Vacuum fluctuations...
of quarks becomes greater because of the binding energy caused by the gluonfield between each quark (see mass–energy equivalence). The bare mass of up...
of quarks becomes greater because of the binding energy caused by the gluonfield between quarks (see mass–energy equivalence). For example, the effective...
quantum electrodynamics. Magnetic scalar potential Aharonov–Bohm effect Gluonfield Neumann, Franz Ernst (January 1, 1846). "Allgemeine Gesetze Der Inducirten...
color charge currents (explicit expressions for currents are given at gluonfield strength tensor). There are many other quantities in particle physics...
quantum chromodynamics (QCD), the quantum field theory of the strong interaction between quarks and gluons, the fundamental constituents of nuclear matter...
length, angles, areas (or volumes), curvature and divergence of vector fields. All differentiable manifolds (of constant dimension) can be given the structure...
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...