# gm: List of arrays of gamma structures In hadron: Analysis Framework for Monte Carlo Simulation Data in Physics

 gm R Documentation

## List of arrays of gamma structures

### Description

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

The index mappings are as follows

• gm[['chiral_tmlqcd']][1,,] γ^0

• gm[['chiral_tmlqcd']][2,,] γ^1

• gm[['chiral_tmlqcd']][3,,] γ^2

• gm[['chiral_tmlqcd']][4,,] γ^3

• gm[['chiral_tmlqcd']][5,,] γ^5

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

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

• gm[['ukqcd']][1,,] γ^1

• gm[['ukqcd']][2,,] γ^2

• gm[['ukqcd']][3,,] γ^3

• gm[['ukqcd']][4,,] γ^4

• gm[['ukqcd']][5,,] γ^5

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

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

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

hadron documentation built on Sept. 9, 2022, 5:06 p.m.