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One flavour rational unprec added; untested but does compile.

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Moving param structs into a single header for later connection to file I/O using
macromagic.h
This commit is contained in:
Peter Boyle
2015-08-18 14:40:08 +01:00
parent cd242a2637
commit a842a6c94d
10 changed files with 238 additions and 99 deletions
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79
lib/qcd/action/pseudofermion/TwoFlavour.h
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@ -4,85 +4,6 @@
namespace Grid{
namespace QCD{
///////////////////////////////////////
// One flavour rational
///////////////////////////////////////
// S_f = chi^dag * N(M^dag*M)/D(M^dag*M) * chi
//
// Here, M is some operator
// N and D makeup the rat. poly
//
// Need
// dS_f/dU = chi^dag P/Q d[N/D] P/Q chi
//
// Here N/D \sim R_{-1/2} ~ (M^dagM)^{-1/2}
//
// N/D is expressed as partial fraction expansion:
//
// a0 + \sum_k ak/(M^dagM + bk)
//
// d[N/D] is then
//
// \sum_k -ak [M^dagM+bk]^{-1} [ dM^dag M + M^dag dM ] [M^dag M + bk]^{-1}
//
// Need
//
// Mf Phi_k = [MdagM+bk]^{-1} Phi
// Mf Phi = \sum_k ak [MdagM+bk]^{-1} Phi
//
// With these building blocks
//
// dS/dU = \sum_k -ak Mf Phi_k^dag [ dM^dag M + M^dag dM ] Mf Phi_k
// S = innerprodReal(Phi,Mf Phi);
///////////////////////////////////////
// One flavour rational ratio
///////////////////////////////////////
// S_f = chi^dag* P(V^dag*V)/Q(V^dag*V)* N(M^dag*M)/D(M^dag*M)* P(V^dag*V)/Q(V^dag*V)* chi
//
// Here, M is some 5D operator and V is the Pauli-Villars field
// N and D makeup the rat. poly of the M term and P and & makeup the rat.poly of the denom term
//
// Need
// dS_f/dU = chi^dag d[P/Q] N/D P/Q chi
// + chi^dag P/Q d[N/D] P/Q chi
// + chi^dag P/Q N/D d[P/Q] chi
//
// Here P/Q \sim R_{1/4} ~ (V^dagV)^{1/4}
// Here N/D \sim R_{-1/2} ~ (M^dagM)^{-1/2}
//
// P/Q is expressed as partial fraction expansion:
//
// a0 + \sum_k ak/(V^dagV + bk)
//
// d[P/Q] is then
//
// \sum_k -ak [V^dagV+bk]^{-1} [ dV^dag V + V^dag dV ] [V^dag V + bk]^{-1}
//
// and similar for N/D.
//
// Need
// MpvPhi_k = [Vdag V + bk]^{-1} chi
//
// MpvPhi = {a0 + \sum_k ak [Vdag V + bk]^{-1} }chi
//
// MfMpvPhi_k = [MdagM+bk]^{-1} MpvPhi
//
// MfMpvPhi = {a0 + \sum_k ak [Mdag M + bk]^{-1} } MpvPhi
//
// MpvMfMpvPhi_k = [Vdag V + bk]^{-1} MfMpvchi
//
// With these building blocks
//
// dS/dU =
// \sum_k -ak MpvPhi_k^dag [ dV^dag V + V^dag dV ] MpvMfMpvPhi_k <- deriv on P left
// + \sum_k -ak MpvMfMpvPhi_k^\dag [ dV^dag V + V^dag dV ] MpvPhi_k
// + \sum_k -ak MfMpvPhi_k^dag [ dM^dag M + M^dag dM ] MfMpvPhi_k
////////////////////////////////////////////////////////////////////////
// Two flavour pseudofermion action for any dop
////////////////////////////////////////////////////////////////////////