##### Wiktionary

**scalar field**

n. 1 (context mathematics physics English) A function that assigns a scalar value to every point in space. 2 (label en mathematics linear algebra) The field (algebraic structure) for which scalar multiplication is defined for a given vector space; field of scalars.

##### WordNet

**scalar field**

n. a field of scalars

##### Wikipedia

**Scalar field**

In mathematics and physics, a **scalar field** associates a scalar value to every point in a space. The scalar may either be a mathematical number or a physical quantity. Scalar fields are required to be coordinate-independent, meaning that any two observers using the same units will agree on the value of the scalar field at the same absolute point in space (or spacetime) regardless of their respective points of origin. Examples used in physics include the temperature distribution throughout space, the pressure distribution in a fluid, and spin-zero quantum fields, such as the Higgs field. These fields are the subject of scalar field theory.

#### Usage examples of "scalar field".

A complex massive Klein-Gordon __scalar field__ will be produced, with no self-interaction save through gravity, which.