Chan–Paton factor

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In theoretical physics, the Chan–Paton factor (named after Jack E. Paton and Hong-Mo Chan) [1] is a multivalued index associated with the endpoints of an open string. An open string can be interpreted as a flux tube connecting a quark and its antiparticle. The two Chan–Paton factors make the string transform as a tensor under a gauge group whose charges are carried by the endpoints of the strings.

Theoretical physics branch of physics

Theoretical physics is a branch of physics that employs mathematical models and abstractions of physical objects and systems to rationalize, explain and predict natural phenomena. This is in contrast to experimental physics, which uses experimental tools to probe these phenomena.

Flux tube Tube-like region of space with constant magnet flux along its length

A flux tube is a generally tube-like (cylindrical) region of space containing a magnetic field, B, such that the field is perpendicular to the normal vector, . Both the cross-sectional area of the tube and the field contained may vary along the length of the tube, but the magnetic flux is always constant.

Quark elementary particle of which the proton or any other other baryon or meson is composed

A quark is a type of elementary particle and a fundamental constituent of matter. Quarks combine to form composite particles called hadrons, the most stable of which are protons and neutrons, the components of atomic nuclei. Due to a phenomenon known as color confinement, quarks are never directly observed or found in isolation; they can be found only within hadrons, which include baryons and mesons. For this reason, much of what is known about quarks has been drawn from observations of hadrons.

The procedure of enabling isospin factors to be added to the Veneziano model is known as Chan–Paton rules or Chan–Paton method.

In nuclear physics and particle physics, isospin (I) is a quantum number related to the strong interaction. More specifically, isospin symmetry is a subset of the flavour symmetry seen more broadly in the interactions of baryons and mesons.

After the second superstring revolution in 1995, Chan–Paton factors are interpreted as labels that identify which (spacetime-filling) D-branes the stringy endpoints are attached to. The Chan–Paton factors have become a special case of a more general concept.

Spacetime mathematical model combining space and time

In physics, spacetime is any mathematical model that fuses the three dimensions of space and the one dimension of time into a single four-dimensional continuum. Spacetime diagrams can be used to visualize relativistic effects such as why different observers perceive where and when events occur.

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In survival analysis, the hazard ratio (HR) is the ratio of the hazard rates corresponding to the conditions described by two levels of an explanatory variable. For example, in a drug study, the treated population may die at twice the rate per unit time as the control population. The hazard ratio would be 2, indicating higher hazard of death from the treatment. Or in another study, men receiving the same treatment may suffer a certain complication ten times more frequently per unit time than women, giving a hazard ratio of 10.

Vacuum expectation value

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D-brane brane on which strings can attach, thereby inducing Dirichlet boundary conditions on the string worldsheet theory

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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. It is frequently denoted YW and corresponds to the gauge symmetry U(1).

In particle physics, weak isospin is a quantum number relating to the weak interaction, and parallels the idea of isospin under the strong interaction. Weak isospin is usually given the symbol T or I with the third component written as , , or . It can be understood as the eigenvalue of a charge operator.

Holger Bech Nielsen Danish physicist

Holger Bech Nielsen is a Danish theoretical physicist, Professor emeritus at the Niels Bohr Institute, at the University of Copenhagen, where he started studying physics in 1961.

Gabriele Veneziano Italian theoretical physicist

Gabriele Veneziano is an Italian theoretical physicist and one of the pioneers of string theory. He has conducted most of his scientific activities at CERN in Geneva, Switzerland, and he has held the Chair of Elementary Particles, Gravitation and Cosmology at the Collège de France in Paris, from 2004 to 2013.

String cosmology

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In particle physics, a rho meson is a short-lived hadronic particle that is an isospin triplet whose three states are denoted as
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and
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String (physics) physical phenomenon

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Brane extended physical object in string theory

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In theoretical physics, the Veneziano amplitude refers to the discovery made in 1968 by Italian theoretical physicist Gabriele Veneziano that the Euler beta function, when interpreted as a scattering amplitude, has many of the features needed to explain the physical properties of strongly interacting mesons, such as symmetry and duality. Conformal symmetry was soon discovered. The formula is the following:

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References

  1. H. M. Chan, J. E. Paton, "Generalized Veneziano Model with Isospin", Nucl. Phys. B10, 516 (1969).