Examples of 'scalar field' in a sentence

Meaning of "scalar field"

scalar field: in the context of mathematics or physics, a scalar field is a function that assigns a scalar value to every point in space
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  • A function that assigns a scalar value to every point in space.
  • The field (algebraic structure) for which scalar multiplication is defined for a given vector space; field of scalars.

How to use "scalar field" in a sentence

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scalar field
An example of a scalar field is the temperature field.
The scalar potential is an example of a scalar field.
A scalar field is a number at each point in space.
Given the multipole expansion of a scalar field.
The scalar field may be real or complex valued.
But we integrated the scalar field in this volume.
Any scalar field is available as priority.
So the easiest one for me to imagine is a scalar field.
A scalar field associates a scalar value to every point in a space.
So we have gone from having a scalar field to a vector field.
This huge expansion is best explained by invoking a scalar field.
A scalar field theory provides a good example of the canonical quantization procedure.
But it applies to pretty much any scalar field.
Applications in scalar field theories as well as in gauge field theories are presented.
These fields are the subject of scalar field theory.

See also

It follows that the scalar field is inadequate to describe quantitatively the glory.
This is true even for a complex scalar field.
Inclusion of the dynamical scalar field corresponds to breaking boundary conformal invariance.
Biochemistry energy versus scalar field.
The scalar field balloons out between the transmitter and receiver.
The function to be integrated may be a scalar field or a vector field.
The derivative of a scalar field results in a vector field called the gradient.
The gradient of a scalar field.
A quartic massless scalar field theory develops a mass gap already at classical level.
And the subsequent evolution is affected by the scalar field.
This makes a two dimensional massless scalar field slightly tricky to define mathematically.
There are a number of possible propagators for free scalar field theory.
The scalar field thus defined is called the potential of the vector field.
Temperature is a scalar field.
This scalar field acts together with all the rest to generate the metric.
This form is reprised in the next example of a scalar field theory.
A scalar field model encoding chiral symmetry and its breaking is the chiral model.
And let us say that it happens to be the gradient of some scalar field.
The environment is modelled by a vibrating scalar field which exchanges energy with the particles.
It shows that the electromagnetic field is a source for the scalar field.
Note that the scalar field can not be set to a constant without constraining the electromagnetic field.
We specifically consider thermal properties associated to a scalar field in the spacetimes of interest.
A scalar field is invariant under any Lorentz transformation.
An inflationary cosmology implies the presence of a scalar field that drives inflation.
Consider the free scalar field φ of mass m in two Euclidean dimensions.
The molecules in the substance interact with the returning scalar field.
The Lagrangian for a complex scalar field can be motivated as follows.
Another useful quality control diagnostic is obtained by displaying yet a third scalar field.
The Higgs field is a scalar field and the Higgs boson is a particle with spin zero.
Here we also review the applicability of the bps method in a two scalar field theory.
Or I gave you a scalar field and you got a vector field.
This suggestion signifies that the inertial mass should depend on the scalar field.
What is a scalar field and a vector field?
The curvaton is a hypothetical elementary particle which mediates a scalar field in early universe cosmology.
A scalar field is a number, not a vector.

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