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.
Canonical Quantization of Scalar Field
in Phase Space
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
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