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hadron (version 3.1.2)

gm: List of arrays of gamma structures

Description

List of arrays of 4x4 complex gamma matrices in the tmLQCD chiral gamma basis, where \(\gamma^5 = \gamma^0 \gamma^1 \gamma^2 \gamma^3 = \) diag(c(1,1,-1,-1)) and the UKQCD gamma basis, where \(\gamma^5 = \gamma^0 \gamma^1 \gamma^2 \gamma^3\).

The index mappings are as follows

  • gm[['chiral_tmlqcd']][1,,] \(\gamma^0\)

  • gm[['chiral_tmlqcd']][2,,] \(\gamma^1\)

  • gm[['chiral_tmlqcd']][3,,] \(\gamma^2\)

  • gm[['chiral_tmlqcd']][4,,] \(\gamma^3\)

  • gm[['chiral_tmlqcd']][5,,] \(\gamma^5\)

  • gm[['chiral_tmlqcd']][6,,] positive parity projector \( \frac{1}{2} (1 + \gamma^0) \)

  • gm[['chiral_tmlqcd']][7,,] negative parity projector \( \frac{1}{2} (1 - \gamma^0) \)

  • gm[['ukqcd']][1,,] \(\gamma^1\)

  • gm[['ukqcd']][2,,] \(\gamma^2\)

  • gm[['ukqcd']][3,,] \(\gamma^3\)

  • gm[['ukqcd']][4,,] \(\gamma^4\)

  • gm[['ukqcd']][5,,] \(\gamma^5\)

  • gm[['ukqcd']][6,,] positive parity projector \( \frac{1}{2} (1 + \gamma^4) \)

  • gm[['ukqcd']][7,,] negative parity projector \( \frac{1}{2} (1 - \gamma^4) \)

The function gm_mu can be used to access its elements using a more "natural" indexing.

Arguments