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 point in space (or spacetime). 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

Read more about Scalar Field: Definition, Uses in Physics, Other Kinds of Fields

### Other articles related to "scalar field, scalar fields, field, fields, scalar":

**Scalar Field**Theory

... Free, massless quantized

**scalar field**theory has no coupling parameters ... the quantized massless φ4 is not scale-invariant, there do exist scale-invariant quantized

**scalar field**theories other than the Gaussian fixed point ...

... theory it is postulated that mass is created out of gravitational and

**scalar fields**in accordance with the Principle of Mutual Interaction (PMI) ... The

**scalar field**is a source for the matter-energy

**field**if and only if the matter-energy

**field**is a source for the

**scalar field**." As the source for the

**scalar field**... in lifting an object against a gravitational

**field**to be translated into an increase in its rest mass ...

**Scalar Field**- Other Kinds of Fields

... Vector

**fields**, which associate a vector to every point in space ... Some examples of vector

**fields**include the electromagnetic

**field**and the Newtonian gravitational

**field**... Tensor

**fields**, which associate a tensor to every point in space ...

... In theoretical physics,

**scalar**electrodynamics is a theory of a U(1) gauge

**field**coupled to a charged spin 0

**scalar field**that takes the place of the Dirac fermions in "ordinary" quantum ... The

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

**scalar field**minimally coupled to a gauge

**field**...

**Scalar Field**Theory - Complex

**Scalar Field**Theory

... In a complex

**scalar field**theory, the

**scalar field**takes values in the complex numbers, rather than the real numbers ... symmetry, whose action on the space of

**fields**rotates, for some real phase angle ... As for the real

**scalar field**, spontaneous symmetry breaking is found if m2 is negative ...

### Famous quotes containing the word field:

“My business is stanching blood and feeding fainting men; my post the open *field* between the bullet and the hospital. I sometimes discuss the application of a compress or a wisp of hay under a broken limb, but not the bearing and merits of a political movement. I make gruel—not speeches; I write letters home for wounded soldiers, not political addresses.”

—Clara Barton (1821–1912)