QuantumField

Description

QuantumField is the head of quantized fields and their derivatives. QuantumField[par, ftype, {lorind}, {sunind}] denotes a quantum field of type ftype with (possible) Lorentz-indices lorind and SU(N)-indices sunind. The optional first argument par denotes a partial derivative acting on the field.

See also:  FeynRule, PartialD, ExpandPartialD.

Examples

This denotes a scalar field.

QuantumField[S]

QuantumField[AntiQuarkField]

QuantumField[QuarkField]

This is a field with a Lorentz index.

QuantumField[B, {μ}]

Color indices should be put after the Lorentz ones.

QuantumField[GaugeField, {μ}, {a}]

% // StandardForm

(Subscript[A, Δ]^a) is a short form for Δ^μ (Subscript[A, μ]^a).

QuantumField[A, {OPEDelta}, {a}]

The first list of indices is usually interpreted as type LorentzIndex, except for OPEDelta, which gets converted to type Momentum.

QuantumField[A, {OPEDelta}, {a}] // StandardForm

Derivatives of fields are denoted as follows.

QuantumField[PartialD[μ], A, {μ}]

QuantumField[PartialD[OPEDelta], S]

QuantumField[PartialD[OPEDelta], A, {OPEDelta}, {a}]

QuantumField[PartialD[OPEDelta]^OPEm, A, {OPEDelta}, {a}]

QuantumField[QuantumField[A]]  ===  QuantumField[A]