lattice/latticegpu.jl
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Merge remote-tracking branch 'carlos.git/master'

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This commit is contained in:
Alberto Ramos 2021-11-21 16:28:34 +01:00
commit c7543e48d9
2 changed files with 121 additions and 4 deletions
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2
src/LatticeGPU.jl
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@ -52,6 +52,6 @@ include("Spinors/Spinors.jl")
using .Spinors
export Spinor, Pgamma
export imm, mimm
export pmul, gpmul, gdagpmul
export pmul, gpmul, gdagpmul, dmul
end # module

123
src/Spinors/Spinors.jl
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@ -267,8 +267,125 @@ function gdagpmul(::Type{Pgamma{3,-1}}, g, a::Spinor{4,G}) where {NS,G}
return Spinor{4,G}((r1,r2,imm(r1),mimm(r2)))
end
export Spinor, Pgamma
export norm, norm2, dot, imm, mimm
export pmul, gpmul, gdagpmul
"""
dmul(n::Int64, a::Spinor)
Returns ``\\Gamma_n a``
indexing for Dirac basis ``\\Gamma_n``:
1 gamma1
2 gamma2
3 gamma3
4 gamma0
5 gamma5
6 gamma1 gamma5
7 gamma2 gamma5
8 gamma3 gamma5
9 gamma0 gamma5
10 sigma01
11 sigma02
12 sigma03
13 sigma12
14 sigma23
15 sigma31
16 identity
"""
function dmul(n::Int64, a::Spinor{4,G}) where {NS,G}
if n == 1 then
r1 = mimm(a.s[4])
r2 = mimm(a.s[3])
r3 = imm(a.s[2])
r4 = imm(a.s[1])
elseif n == 2 then
r1 = -a.s[4]
r2 = a.s[3]
r3 = a.s[2]
r4 = -a.s[1]
elseif n == 3 then
r1 = mimm(a.s[3])
r2 = imm(a.s[4])
r3 = imm(a.s[1])
r4 = mimm(a.s[2])
elseif n == 4 then
r1 = -a.s[3]
r2 = -a.s[4]
r3 = -a.s[2]
r4 = -a.s[1]
elseif n == 5 then
r1 = a.s[1]
r2 = a.s[2]
r3 = -a.s[3]
r4 = -a.s[4]
elseif n == 6 then
r1 = imm(a.s[4])
r2 = imm(a.s[3])
r3 = imm(a.s[2])
r4 = imm(a.s[1])
elseif n == 7 then
r1 = a.s[4]
r2 = -a.s[3]
r3 = a.s[2]
r4 = -a.s[1]
elseif n == 8 then
r1 = imm(a.s[3])
r2 = mimm(a.s[4])
r3 = imm(a.s[1])
r4 = mimm(a.s[2])
elseif n == 9 then
r1 = a.s[3]
r2 = a.s[4]
r3 = -a.s[2]
r4 = -a.s[1]
elseif n == 10 then
r1 = a.s[2]
r2 = a.s[1]
r3 = -a.s[4]
r4 = -a.s[3]
elseif n == 11 then
r1 = mimm(a.s[2])
r2 = imm(a.s[1])
r3 = imm(a.s[4])
r4 = mimm(a.s[3])
elseif n == 12 then
r1 = a.s[1]
r2 = -a.s[2]
r3 = -a.s[3]
r4 = a.s[4]
elseif n == 13 then
r1 = -a.s[1]
r2 = a.s[2]
r3 = -a.s[3]
r4 = a.s[4]
elseif n == 14 then
r1 = -a.s[2]
r2 = -a.s[1]
r3 = -a.s[4]
r4 = -a.s[3]
elseif n == 15 then
r1 = imm(a.s[2])
r2 = mimm(a.s[1])
r3 = imm(a.s[4])
r4 = mimm(a.s[3])
elseif n == 16 then
r1 = a.s[1]
r2 = a.s[2]
r3 = a.s[3]
r4 = a.s[4]
end
return Spinor{4,G}((r1,r2,r3,r4))
end
export Spinor, Pgamma
export norm, norm2, dot, imm, mimm
export pmul, gpmul, gdagpmul, dmul
end