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String (physics)



 
 
A string is one of the main objects of study in string theory
String theory

String theory is a developing branch of theoretical physics that combines quantum mechanics and general relativity into a quantum gravity. The String s of string theory are one-dimensional oscillating lines, but they are no longer considered fundamental to the theory, which can be formulated in terms of points or surfaces too....
, a branch of theoretical physics
Theoretical physics

Theoretical physics employs mathematical models and abstractions of physics in an attempt to explain experimental data taken of the natural world....
. There are different string theories
Theory

For a more detailed account of theories as expressed in formal language as they are studied in mathematical logic see Theory A theory, in the general sense of the word, is an analytic structure designed to explain a set of observations....
, many of which are unified by M-theory
M-theory

In theoretical physics, M-theory is a new limit of string theory in which 11 dimensions of spacetime may be identified. Because the dimensionality exceeds the dimensionality of five superstring theories in 10 dimensions, it was originally believed that the 11-dimensional theory is more fundamental and unifies all string theories ....
. A string is an object with a one-dimensional spatial extent, unlike an elementary particle
Elementary particle

In particle physics, an elementary particle or fundamental particle is a wiktionary:particle not known to have substructure; that is, it is not known to be made up of smaller particles....
 which is zero-dimensional, or point-like.

By postulating this one-dimensional structure, many desirable features of a more fundamental theory of physics automatically emerge. Most notably, almost any theory of strings consistent with quantum mechanics must also contain quantum gravity
Quantum gravity

Quantum gravity is the field of theoretical physics attempting to unify quantum mechanics, which describes three of the Fundamental interaction , with general relativity, the theory of the fourth fundamental force: Gravitation....
, which had not been described consistently prior to string theory.

The characteristic length scale of strings is thought to be on the order of the Planck length
Planck length

In physics, the Planck length, denoted , is unit of length, equal to about 1.6 × 10-33 centimeters. It is a base unit in the system of Planck units, the most widely used system of natural units....
, the scale at which the effects of quantum gravity
Quantum gravity

Quantum gravity is the field of theoretical physics attempting to unify quantum mechanics, which describes three of the Fundamental interaction , with general relativity, the theory of the fourth fundamental force: Gravitation....
 are believed to become significant:

m

On much larger length scales, such as the scales visible in physics laboratories, such objects would be indistinguishable from zero-dimensional point particles.






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A string is one of the main objects of study in string theory
String theory

String theory is a developing branch of theoretical physics that combines quantum mechanics and general relativity into a quantum gravity. The String s of string theory are one-dimensional oscillating lines, but they are no longer considered fundamental to the theory, which can be formulated in terms of points or surfaces too....
, a branch of theoretical physics
Theoretical physics

Theoretical physics employs mathematical models and abstractions of physics in an attempt to explain experimental data taken of the natural world....
. There are different string theories
Theory

For a more detailed account of theories as expressed in formal language as they are studied in mathematical logic see Theory A theory, in the general sense of the word, is an analytic structure designed to explain a set of observations....
, many of which are unified by M-theory
M-theory

In theoretical physics, M-theory is a new limit of string theory in which 11 dimensions of spacetime may be identified. Because the dimensionality exceeds the dimensionality of five superstring theories in 10 dimensions, it was originally believed that the 11-dimensional theory is more fundamental and unifies all string theories ....
. A string is an object with a one-dimensional spatial extent, unlike an elementary particle
Elementary particle

In particle physics, an elementary particle or fundamental particle is a wiktionary:particle not known to have substructure; that is, it is not known to be made up of smaller particles....
 which is zero-dimensional, or point-like.

By postulating this one-dimensional structure, many desirable features of a more fundamental theory of physics automatically emerge. Most notably, almost any theory of strings consistent with quantum mechanics must also contain quantum gravity
Quantum gravity

Quantum gravity is the field of theoretical physics attempting to unify quantum mechanics, which describes three of the Fundamental interaction , with general relativity, the theory of the fourth fundamental force: Gravitation....
, which had not been described consistently prior to string theory.

The characteristic length scale of strings is thought to be on the order of the Planck length
Planck length

In physics, the Planck length, denoted , is unit of length, equal to about 1.6 × 10-33 centimeters. It is a base unit in the system of Planck units, the most widely used system of natural units....
, the scale at which the effects of quantum gravity
Quantum gravity

Quantum gravity is the field of theoretical physics attempting to unify quantum mechanics, which describes three of the Fundamental interaction , with general relativity, the theory of the fourth fundamental force: Gravitation....
 are believed to become significant:

m

On much larger length scales, such as the scales visible in physics laboratories, such objects would be indistinguishable from zero-dimensional point particles. However, the vibrational modes and structure of the tiny string would be manifested as different elementary particles in the standard model
Standard Model

The Standard Model of particle physics is a theory of three of the four known fundamental interactions and the elementary particles that take part in these interactions....
 of quantum field theory
Quantum field theory

Quantum field theory or QFT provides a theoretical framework for constructing quantum mechanics models of systems classically described by field or of Many-body problem....
. For example, one state of the string would be associated with a photon
Photon

In physics, the photon is an elementary particle, the quantum of the electromagnetic field and the basic unit of light and all other forms of electromagnetic radiation....
, and another state with a quark
Quark

Quarks are a type of elementary particle and major constituents of matter. They are the only particles in the Standard Model to experience all four fundamental interaction, which are also known as fundamental interactions....
. This unifying feature of string theory is among its greatest strengths, however no known solution of string theory exactly reproduces the particle content of the standard model.

Propagating in spacetime
Spacetime

In physics, spacetime is any mathematical model that combines space and Time in physics into a single continuum . Spacetime is usually interpreted with space being Three-dimensional space and time playing the role of a fourth dimension that is of a different sort than the spatial dimensions....
, strings sweep out a two-dimensional surface
Surface

In mathematics, specifically in topology, a surface is a two-dimensional topological manifold. The most familiar examples are those that arise as the boundaries of solid objects in ordinary three-dimensional Euclidean space E3....
, called a worldsheet, analogous to the one-dimensional worldline traced out by a point particle.

Types of strings


Closed and open strings

Strings can be either open or closed. A closed string is a string that has no end-points, and therefore is topologically equivalent to a circle
Circle

A circle is a simple shape of Euclidean geometry consisting of those point in a plane which are the same distance from a given point called the center....
. An open string, on the other hand, has two end-points and is topologically equivalent to a line interval. Not all string theories contain open strings, but every theory must contain closed strings, as interactions between open strings can always result in closed strings.

The oldest superstring theory
Superstring theory

Superstring theory is an attempt to explain all of the Elementary particle and fundamental forces of nature in one theory by modelling them as vibrations of tiny supersymmetry strings....
 containing open strings was type I string theory
Type I string theory

In theoretical physics, type I string theory is one of five consistent supersymmetric string theory in ten dimensions. It is the only one whose strings are unoriented and which contains not only closed strings, but also open strings....
. However, the developments in string theory in the 1990s have shown that the open strings should always be thought of as ending on a new type of objects called the D-branes, and the spectrum of possibilities for open strings has increased greatly.

Open and closed strings are generally associated with characteristic vibrational modes. One of the vibration modes of a closed string can be identified as the graviton
Graviton

In physics, the graviton is a hypothetical elementary particle that mediates the force of gravity in the framework of quantum field theory. If it exists, the graviton must be Mass in special relativity and must have a spin of 2 ....
. In certain string theories the lowest-energy vibration of an open string is a tachyon
Tachyon

A tachyon is any hypothetical particle physics that travels faster-than-light. The first description of tachyons is attributed to German physicist Arnold Sommerfeld; however, it was George Sudarshan, Olexa-Myron Bilaniuk, Vijay Deshpande and Gerald Feinberg that advanced a theoretical framework for their study....
 and can undergo tachyon condensation
Tachyon condensation

In physics, tachyon condensation is a process in which a tachyonic quantum field theory—usually a Scalar field theory—with a complex number mass acquires a vacuum expectation value and reaches the minimum of the potential energy....
. Other vibrational modes of open strings exhibit the properties of photon
Photon

In physics, the photon is an elementary particle, the quantum of the electromagnetic field and the basic unit of light and all other forms of electromagnetic radiation....
s and gluon
Gluon

Gluons are elementary particles that cause quarks to interact, and are indirectly responsible for the binding of protons and neutrons together in atomic nuclei....
s.

Orientation

Strings can also possess an orientation, which can be thought of as an internal "arrow" which distinguishes the string from one with the opposite orientation. By contrast, an unoriented string is one with no such arrow on it.

See also

  • Brane
    Brane

    In theoretical physics, a membrane, brane, or p-brane is a spatially extended mathematical concept that appears in string theory and its relatives that exists in a static number of dimensions....
  • Elementary particle
    Elementary particle

    In particle physics, an elementary particle or fundamental particle is a wiktionary:particle not known to have substructure; that is, it is not known to be made up of smaller particles....
  • List of string theory topics
    List of string theory topics

    This is a list of string theory topics. See also: list of mathematical topics in quantum theory....
  • The Elegant Universe
    The Elegant Universe

    The Elegant Universe is a book by Brian Greene published in 1999 which introduces Superstring theory and provides a comprehensive though non-technical assessment of the theory and some of its shortcomings....
     and The Fabric of the Cosmos
    The Fabric of the Cosmos

    The Fabric of the Cosmos: Space, Time, and the Texture of Reality is the second book on theoretical physics, physical cosmology and string theory written by Brian Greene, professor and co-director of Columbia University Institute for Strings, Cosmology, and Astroparticle Physics ....
    , two books by string theorist Brian Greene
    Brian Greene

    Brian Greene is a theoretical physicist and one of the best-known Super-string theory. Since 1996 he has been a professor at Columbia University....