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Mathematical formulation of the Standard Model

Index Mathematical formulation of the Standard Model

This article describes the mathematics of the Standard Model of particle physics, a gauge quantum field theory containing the internal symmetries of the unitary product group. [1]

23 relations: Cabibbo–Kobayashi–Maskawa matrix, Electroweak interaction, Field (physics), Flavour (particle physics), Gauge principle, Gauge theory, Georgi–Glashow model, Helicity basis, Higgs boson, Index of physics articles (S), Nielsen–Ninomiya theorem, Particle physics, Physical constant, Quantum field theory, Standard Model, Standard model (disambiguation), Strong interaction, Symmetry (physics), Symmetry in quantum mechanics, Theory of everything, W and Z bosons, Weak hypercharge, X (charge).

Cabibbo–Kobayashi–Maskawa matrix

In the Standard Model of particle physics, the Cabibbo–Kobayashi–Maskawa matrix, CKM matrix, quark mixing matrix, or KM matrix is a unitary matrix which contains information on the strength of flavour-changing weak decays.

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Electroweak interaction

In particle physics, the electroweak interaction is the unified description of two of the four known fundamental interactions of nature: electromagnetism and the weak interaction.

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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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Flavour (particle physics)

In particle physics, flavour or flavor refers to the species of an elementary particle.

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Gauge principle

In physics, a gauge principle specifies a procedure for obtaining an interaction term from a free Lagrangian which is symmetric with respect to a continuous symmetry—the results of localizing (or gauging) the global symmetry group must be accompanied by the inclusion of additional fields (such as the electromagnetic field), with appropriate kinetic and interaction terms in the action, in such a way that the extended Lagrangian is covariant with respect to a new extended group of local transformations.

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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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Georgi–Glashow model

In particle physics, the Georgi–Glashow model is a particular grand unification theory (GUT) proposed by Howard Georgi and Sheldon Glashow in 1974.

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Helicity basis

In the Standard Model, using quantum field theory it is conventional to use the helicity basis to simplify calculations (of cross sections, for example).

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Higgs boson

The Higgs boson is an elementary particle in the Standard Model of particle physics.

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Index of physics articles (S)

The index of physics articles is split into multiple pages due to its size.

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Nielsen–Ninomiya theorem

The Nielsen–Ninomiya theorem is a no-go theorem in physics, in particular in lattice gauge theory, concerning the possibility of defining a theory of chiral fermions on a lattice in even dimensions.

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Particle physics

Particle physics (also high energy physics) is the branch of physics that studies the nature of the particles that constitute matter and radiation.

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Physical constant

A physical constant, sometimes fundamental physical constant or universal constant, is a physical quantity that is generally believed to be both universal in nature and have constant value in time.

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Quantum field theory

In theoretical physics, quantum field theory (QFT) is the theoretical framework for constructing quantum mechanical models of subatomic particles in particle physics and quasiparticles in condensed matter physics.

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Standard Model

The Standard Model of particle physics is the theory describing three of the four known fundamental forces (the electromagnetic, weak, and strong interactions, and not including the gravitational force) in the universe, as well as classifying all known elementary particles.

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Standard model (disambiguation)

Standard model may refer to.

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Strong interaction

In particle physics, the strong interaction is the mechanism responsible for the strong nuclear force (also called the strong force or nuclear strong force), and is one of the four known fundamental interactions, with the others being electromagnetism, the weak interaction, and gravitation.

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Symmetry (physics)

In physics, a symmetry of a physical system is a physical or mathematical feature of the system (observed or intrinsic) that is preserved or remains unchanged under some transformation.

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Symmetry in quantum mechanics

Symmetries in quantum mechanics describe features of spacetime and particles which are unchanged under some transformation, in the context of quantum mechanics, relativistic quantum mechanics and quantum field theory, and with applications in the mathematical formulation of the standard model and condensed matter physics.

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Theory of everything

A theory of everything (ToE), final theory, ultimate theory, or master theory is a hypothetical single, all-encompassing, coherent theoretical framework of physics that fully explains and links together all physical aspects of the universe.

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W and Z bosons

The W and Z bosons are together known as the weak or more generally as the intermediate vector bosons. These elementary particles mediate the weak interaction; the respective symbols are,, and.

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Weak hypercharge

In the Standard Model of electroweak interactions of particle physics, the weak hypercharge is a quantum number relating the electric charge and the third component of weak isospin.

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X (charge)

In particle physics, the X-charge (or simply X) is a conserved quantum number associated with the SO(10) grand unification theory.

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SU(3) x SU(2) x U(1), SU(3) × SU(2) × U(1), SU(3)XSU(2)XU(1), Standard Model (basic details), Standard Model (mathematical formulation), Standard model (details), Standard model (mathematical formulation), Standard model (technical details), Weak charge.

References

[1] https://en.wikipedia.org/wiki/Mathematical_formulation_of_the_Standard_Model

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