theory of physics, a Lorentz scalar is a scalar expression whose value is invariant under any Lorentz transformation. A Lorentz scalar may be generated from...

numbers Scalar (physics), a physical quantity that can be described by a single element of a number field such as a real number Lorentz scalar, a quantity...

particles transform like a scalar under Lorentz transformation (i.e. are Lorentz invariant). A pseudoscalar boson is a scalar boson that has odd parity...

}} . Therefore, ψ † ψ {\displaystyle \psi ^{\dagger }\psi } is not a Lorentz scalar and ψ † γ μ ψ {\displaystyle \psi ^{\dagger }\gamma ^{\mu }\psi } is...

In physics, the Lorentz transformations are a six-parameter family of linear transformations from a coordinate frame in spacetime to another frame that...

Lorentz scalar invariant shows that the total derivative with respect to proper time d d τ {\displaystyle {\frac {d}{d\tau }}} is likewise a Lorentz scalar...

article Lorentz transformation for details. A quantity that is invariant under Lorentz transformations is known as a Lorentz scalar. Writing the Lorentz transformation...

under any Lorentz transformation. The only fundamental scalar quantum field that has been observed in nature is the Higgs field. However, scalar quantum...

quantities are built out of scalars, four-vectors, four-tensors, and spinors. In particular, a Lorentz covariant scalar (e.g., the space-time interval)...

change in proper time, which is independent of coordinates, and is a Lorentz scalar. The interval is the quantity of interest, since proper time itself...

_{22}=\eta _{33}=1} .) Lorentz transformations leave the Minkowski metric invariant, so the d'Alembertian yields a Lorentz scalar. The above coordinate...

{\nabla } }}\right)} Note that each 4-vector is related to another by a Lorentz scalar: U = d d τ X {\displaystyle \mathbf {U} ={\frac {d}{d\tau }}\mathbf...

preserve scalars, while in relativity, Lorentz transformations or space-time translations preserve scalars. The term "scalar" has origin in the multiplication...

frequently confused with Hendrik Lorentz, who has given his name to many concepts in this field. The condition is Lorentz invariant. The Lorenz gauge condition...

energy–momentum tensor is a Lorentz scalar; the electromagnetic field (and in particular electromagnetic waves) has no Lorentz-invariant energy scale, so...

Effectively, the γ {\displaystyle \gamma } factor combines with the Lorentz scalar term to make the 4th independent component m = γ m o {\displaystyle...

{\omega }{c}},-k_{x},-k_{y},-k_{z}\right)\end{aligned}}} In general, the Lorentz scalar magnitude of the wave four-vector is: K μ K μ = ( ω c ) 2 − k x 2 −...

of hadrons. The observed Lorentz invariance of space-time allows only the formation of condensates which are Lorentz scalars and have vanishing charge...

factor for circular accelerators. The radiated power is actually a Lorentz scalar, given in covariant form as P = − 2 3 q 2 m 2 c 3 d p μ d τ d p μ d...

notation. In physics, a scalar is invariant under transformations of basis. In particular, a Lorentz scalar is invariant under a Lorentz transformation. The...

the Lorentz group, so it is still referred to as a scalar field, in the sense of a Lorentz scalar. The gauge-field is a g {\displaystyle {\mathfrak {g}}}...

sector was presented in 2011. The Lorentz-violating contributions to the Lagrangian are built as observer Lorentz scalars by contracting standard field operators...

together and multiplied ("scaled") by numbers called scalars. The operations of vector addition and scalar multiplication must satisfy certain requirements...

field equations and a conservation law for the theory. The action is a Lorentz scalar, from which the field equations and symmetries can be readily derived...

conditions than Lorentz reciprocity. It generally requires time-invariant linear media with an isotropic homogeneous impedance, i.e. a constant scalar μ/ε ratio...

a scalar field is a function associating a single[dubious – discuss] number to each point in a region of space – possibly physical space. The scalar may...

quantity expressed as the gradient of the electrostatic potential, which is a scalar quantity denoted by V or occasionally φ, equal to the electric potential...

Hendrik Antoon Lorentz (/ˈlɔːrənts/ LAWR-uhnts; Dutch: [ˈɦɛndrɪk ˈɑntoːn ˈloːrɛnts]; 18 July 1853 – 4 February 1928) was a Dutch theoretical physicist...

electromagnetism, the Lorentz force law is the combination of electric and magnetic force on a point charge due to electromagnetic fields. The Lorentz force, on the...

relativistically invariant and their solutions transform under the Lorentz group as Lorentz scalars ((m, n) = (0, 0)) and bispinors ((0, ⁠1/2⁠) ⊕ (⁠1/2⁠, 0)) respectively...