AnomalousDimension

Description

AnomalousDimension[name] is a incomplete database of anomalous dimensions of twist 2 operators.

Options[AnomalousDimension]

See also: SplittingFunction, SumS, SumT.

Examples

Polarized case

SetOptions[ AnomalousDimension, Polarization -> 1]

\(TraditionalForm\`γ\_\(\(NS\)\(,\)\(qq\)\(\ \)\)\%\(\((\)\(0\)\()\)\(\ \)\)\)polarized

AnomalousDimension[gnsqq0]

\(TraditionalForm\`γ\_\(\(S\)\(,\)\(qg\)\(\ \)\)\%\(\((\)\(0\)\()\)\(\ \)\)\)polarized

AnomalousDimension[gsqg0]

\(TraditionalForm\`γ\_\(\(S\)\(,\)\(gq\)\(\ \)\)\%\(\((\)\(0\)\()\)\(\ \)\)\)polarized

AnomalousDimension[gsgq0]

\(TraditionalForm\`γ\_\(\(S\)\(,\)\(gg\)\(\ \)\)\%\(\((\)\(0\)\()\)\(\ \)\)\)polarized

AnomalousDimension[gsgg0]

\(TraditionalForm\`γ\_\(\(PS\)\(,\)\(qq\)\(\ \)\)\%\(\((\)\(0\)\()\)\(\ \)\)\)polarized

AnomalousDimension[gpsqq1]

\(TraditionalForm\`γ\_\(\(NS\)\(,\)\(qq\)\(\ \)\)\%\(\((\)\(1\)\()\)\(\ \)\)\)polarized

AnomalousDimension[gnsqq1]

\(TraditionalForm\`γ\_\(\(S\)\(,\)\(qg\)\(\ \)\)\%\(\((\)\(1\)\()\)\(\ \)\)\)polarized

AnomalousDimension[gsqg1]

\(TraditionalForm\`γ\_\(\(S\)\(,\)\(gq\)\(\ \)\)\%\(\((\)\(1\)\()\)\(\ \)\)\)polarized

AnomalousDimension[gsgq1]

\(TraditionalForm\`γ\_\(\(S\)\(,\)\(gg\)\(\ \)\)\%\(\((\)\(1\)\()\)\(\ \)\)\)polarized

AnomalousDimension[gsgg1]

\(TraditionalForm\`γ\_\(\(S\)\(,\)\(gg\)\(\ \)\)\%\(\((\)\(1\)\()\)\(\ \)\)\)polarized (different representation)

AnomalousDimension[GSGG1]

Check that all odd moments give the same for the two representations of \(TraditionalForm\`\(\(γ\_\(\(S\)\(,\)\(gg\)\(\ \)\)\%\(\((\)\(1\)\()\)\(\ \)\)\)\(.\)\)\)

Table[% - %% /. OPEm -> ij, {ij, 1, 17, 2}]