X-Nico

2 unusual facts about scalar field


IBM OpenDX

The data may be scalar (such as the concentration of a chemical agent in the brain), vector or tensor fields (like the displacement or strain tensor fields when the gear is in action) at different points of the object.

Infinite-dimensional vector function

Moreover, for any set A, there exist infinite-dimensional vector spaces having the (Hamel) dimension of the cardinality of A (e.g., the space of functions A\rightarrow K with finitely-many nonzero elements, where K is the desired field of scalars).


Graviscalar

The new scalar field \phi comes from a component of the metric tensor g {55} where the figure 5 labels an additional, fifth dimension.

Sary Shagan

The site is mentioned in the manga 'Battle Angel Alita' in reference to a supposedly historical weapon, a 'scalar field' device called the 'Sarishagan tiger'.

Scalar theories of gravitation

Scalar theories of gravitation are field theories of gravitation in which the gravitational field is described using a scalar field, which is required to satisfy some field equation.

Scalar-tensor theory

In theoretical physics, a scalar-tensor theory is a theory that includes both a scalar field and a tensor field to represent a certain interaction.


see also

Q-ball

It should be pointed out that while this kind of Q-ball is stable against decay into scalars, it is not stable against decay into fermions if the scalar field \phi has nonzero Yukawa couplings to some fermions.

Scalar electrodynamics

The scalar field is charged, and with an appropriate potential, it has the capacity to break the gauge symmetry via the Abelian Higgs mechanism.

Scalar-tensor theory

It uses a scalar field of infinite length scale (i.e. long-ranged), so, in the language of Yukawa's theory of nuclear physics, this scalar field is a massless field.

Yang–Mills theory

A way out has been given by Ludvig Faddeev and Victor Popov with the introduction of a ghost field (see Faddeev–Popov ghost) that has the property of being unphysical since, although it agrees with Fermi–Dirac statistics, it is a complex scalar field, which violates the spin-statistics theorem.