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hadron (version 3.1.2)

gm_mu: Accessor function for gm

Description

Retrieve the entries of the gm list of three-index arrays containing various gamma structures in a natural indexing.

Usage

gm_mu(mu, basis = "chiral_tmlqcd")

Arguments

mu

Number or string denoting

  • Lorentz index (0,1,2,3,4) for \(\gamma^\mu\)

  • 5 for \(\gamma^5\)

  • "Pp" or "Pm" for the positive and negative parity projectors respectively

basis

String, gamma basis to use. Possible values

'ukqcd':

UKQCD gamma basis with \(\gamma^i, i \in [1,2,3,4]\) and \(\gamma^5 = \gamma^1 \gamma^2 \gamma^3 \gamma^4\), such that \(1 = x\), \(4 = t\).

'chiral_tmlqcd':

Chiral gamma basis used by tmLQCD with \(\gamma^\mu, \mu \in [0,1,2,3]\) and \(\gamma^5 = \gamma^0 \gamma^1 \gamma^2 \gamma^3\), such that \(0 = t\), \(3 = z\).

Value

Returns the requested \(\gamma\) matrix as a 4x4 complex valued array, see gm.