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Kalb-Ramond field : ウィキペディア英語版
Kalb–Ramond field
In theoretical physics in general and string theory in particular, the Kalb–Ramond field, also known as the NS-NS B-field, is a quantum field that transforms as a two-form i.e. an antisymmetric tensor field with two indices.〔Also see: Ogievetsky V. I., Polubarinov I. V. (1967). ''Sov. J. Nucl. Phys.'' 4. 156
(''Yad. Fiz'' 4, 216)〕
It generalizes the electromagnetic potential but it has two indices instead of one. This difference is related to the fact that the electromagnetic potential is integrated over one-dimensional worldlines of particles to obtain one of its contributions to the action while the Kalb–Ramond field must be integrated over the two-dimensional worldsheet of the string. In particular, while the
action for a charged particle moving in an electromagnetic
potential is given by
: -q\int dx^\mu A_\mu
that for a string coupled to the Kalb–Ramond field has the form
: -\int dx^\mu dx^\nu B_
This term in the action implies that the fundamental string of string theory is a source of the NS-NS ''B''-field, much like charged particles are sources of the electromagnetic field.
The Kalb–Ramond field appears, together with the metric tensor and dilaton, as a set of massless excitations of a closed string.
==See also==

* p-form electrodynamics
* Curtright field

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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