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Documentation for Spinors
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7 changed files with 129 additions and 42 deletions
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@ -522,7 +522,6 @@ end
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Applies the operator \`\` \\gamma_5 D_w \`\` twice to `si` and stores the result in `so`. This is equivalent to appling the operator \`\` \`\`
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The Dirac operator is the same as in the functions `Dw!` and `g5Dw!`
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"""
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function DwdagDw!(so, U, si, dpar::DiracParam, dws::DiracWorkspace, lp::Union{SpaceParm{4,6,BC_SF_ORBI,D},SpaceParm{4,6,BC_SF_AFWB,D}}) where {D}
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if abs(dpar.csw) > 1.0E-10
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@ -50,7 +50,7 @@ export import_lex64, import_cern64, import_bsfqcd, save_cnfg, read_cnfg, read_gp
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include("Spinors/Spinors.jl")
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using .Spinors
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export Spinor, Pgamma
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export Spinor, Pgamma, Gamma
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export imm, mimm
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export pmul, gpmul, gdagpmul, dmul
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@ -29,7 +29,7 @@ end
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"""
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function CG!
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function CG!(si, U, A, dpar::DiracParam, lp::SpaceParm, dws::DiracWorkspace{T}, maxiter::Int64 = 10, tol=1.0)
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Solves the linear equation `Ax = si`
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"""
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@ -75,4 +75,4 @@ function CG!(si, U, A, dpar::DiracParam, lp::SpaceParm, dws::DiracWorkspace{T},
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end
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return niter
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end
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end
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@ -169,7 +169,7 @@ end
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"""
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gpmul(pgamma{N,S}, g::G, a::Spinor) G <: Group
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gpmul(Pgamma{N,S}, g::G, a::Spinor) G <: Group
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Returns ``g(1+s\\gamma_N)a``
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"""
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@ -226,7 +226,7 @@ end
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end
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"""
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gdagpmul(pgamma{N,S}, g::G, a::Spinor) G <: Group
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gdagpmul(Pgamma{N,S}, g::G, a::Spinor) G <: Group
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Returns ``g^+ (1+s\\gamma_N)a``
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"""
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@ -284,33 +284,33 @@ end
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# dummy structs for dispatch:
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# Basis of \\Gamma_n
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# Basis of \\gamma_n
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struct Gamma{N}
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end
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"""
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dmul(n::Int64, a::Spinor)
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dmul(Gamma{n}, a::Spinor)
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Returns ``\\Gamma_n a``
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Returns ``\\gamma_n a``
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indexing for Dirac basis ``\\Gamma_n``:
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indexing for Dirac basis ``\\gamma_n``:
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1 gamma1
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2 gamma2
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3 gamma3
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4 gamma0
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5 gamma5
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6 gamma1 gamma5
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7 gamma2 gamma5
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8 gamma3 gamma5
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9 gamma0 gamma5
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10 sigma01
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11 sigma02
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12 sigma03
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13 sigma21
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14 sigma32
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15 sigma31
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16 identity
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1 gamma1;
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2 gamma2;
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3 gamma3;
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4 gamma0;
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5 gamma5;
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6 gamma1 gamma5;
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7 gamma2 gamma5;
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8 gamma3 gamma5;
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9 gamma0 gamma5;
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10 sigma01;
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11 sigma02;
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12 sigma03;
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13 sigma21;
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14 sigma32;
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15 sigma31;
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16 identity;
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"""
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@inline dmul(::Type{Gamma{1}}, a::Spinor{NS,G}) where {NS,G} = Spinor{NS,G}((mimm(a.s[4]), mimm(a.s[3]), imm(a.s[2]), imm(a.s[1])))
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