# Scalar Field

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## scalar field

[′skā·lər ′fēld]
(mathematics)
The field consisting of the scalars of a vector space.
A function on a vector space into the scalars of the vector space.
(physics)
A field which is characterized by a function of position and time whose value at each point is a scalar.

## Scalar Field

a region with each of whose points P there is associated a number a(P) called a scalar. Mathematically, a scalar field can be defined in a given region G by specifying a scalar function a(P) of each point P of the region. Examples of scalar fields are the temperature field in a body and a density field. The methods of vector analysis are used to study scalar fields.

References in periodicals archive ?
In Section 2 we derive the stochastic wave equation for an inflaton interacting with an infinite set of scalar fields in a homogeneous expanding metric.
Bearing in mind that the property b is a ([pi]; t)-dependent scalar field, the rate of change of the linear momentum of [vol.sub.[epsilon]] ([B.sup.0.sub.[epsilon]]) along [e.sub.b], [omega]([B.sup.0.sub.[epsilon]]) say, then results in
Ramirez and V Vazquez-Baez, "Quantum supersymmetric FRW cosmology with a scalar field," Physical Review D--Particles, Fields, Gravitation and Cosmology, vol.
In this paper, we will investigate the gravitational field shielding by scalar field and type II superconductors.
At the microscopic level, where a scalar field obtains in a frenzy of Brownian motion resembling a gas state, we will argue that neurons may perform a Gabor or Fourier transform.
* Chameleon and Condensed Scalar Fields (not found as of 2015) [28, 29];
A potential field is also a scalar field, but usually, one takes advantage of a vector field (e.g., the gradient field) associated with it.
In the low energy effective action, usually string theory based-models are comprised of two massless scalar fields, the dilaton, and the axion (see, e.g., ).
With discrete divergence and gradient defined for both primal and dual cochains, the Laplacian operator [nabla] * [nabla] can then be well defined for a scalar field [phi](r).
The twist centre [C.sup.tw] and a particular value of the constant c were introduced in  by requiring that zeroth and first elastic moments of the scalar field [[phi].sub.c] :[OMEGA] [??] R are zero

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