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(Redirected from World sheet)
A 'string' is one of the main objects of study in a branch of theoretical physics called string theory. There are different string theories, many of which are unified by M-theory. A string is an object with a one-dimensional spatial extent, unlike an elementary particle 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, 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, the scale at which the effects of quantum gravity 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 of quantum field theory. For example, one state of the string would be associated with a photon, and another state with a quark. 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, strings sweep out a two-dimensional surface, called a 'worldsheet', analogous to the one-dimensional worldline traced out by a point particle.
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. 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 containing open strings was type I string theory. 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. In certain string theories the lowest-energy vibration of an open string is a tachyon and can undergo tachyon condensation. Other vibrational modes of open strings exhibit the properties of photons and gluons.
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.
★ Brane
★ Elementary particle
★ The Elegant Universe and The Fabric of the Cosmos, two books by string theorist Brian Greene
★ List of string theory topics
★ Schwarz, John (2000). "Introduction to Superstring Theory". Retrieved Dec. 12, 2005.
★ strings homepage"
A 'string' is one of the main objects of study in a branch of theoretical physics called string theory. There are different string theories, many of which are unified by M-theory. A string is an object with a one-dimensional spatial extent, unlike an elementary particle 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, 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, the scale at which the effects of quantum gravity 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 of quantum field theory. For example, one state of the string would be associated with a photon, and another state with a quark. 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, strings sweep out a two-dimensional surface, called a 'worldsheet', analogous to the one-dimensional worldline traced out by a point particle.
| Contents |
| Types of strings |
| Closed and open strings |
| Orientation |
| See also |
| References |
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. 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 containing open strings was type I string theory. 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. In certain string theories the lowest-energy vibration of an open string is a tachyon and can undergo tachyon condensation. Other vibrational modes of open strings exhibit the properties of photons and gluons.
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
★ Elementary particle
★ The Elegant Universe and The Fabric of the Cosmos, two books by string theorist Brian Greene
★ List of string theory topics
References
★ Schwarz, John (2000). "Introduction to Superstring Theory". Retrieved Dec. 12, 2005.
★ strings homepage"
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