RGProcedure

rg_procedure(velocity::Array{Float64,2}, dielectric::Array{Float64,2}, velocity_integrand::Function, dielectric_integrand::Function, m::Int64, n::Int64)

This function solves the exact FRG equations for velocity and dielectric function where one should input the functions velocity_integrand and dielectric_integrand which returns the integrands defined as below. Note that the angular coordinate phi should run from 0 to pi/2.

    velocity_integrand(velocity::Array{Float64,2},dielectric::Array{Float64,2}, momentum::Float64, cutoff:;Float64, phi:: Float64, m::Int64, n::Int64, i::Int64) 
    dielectric_integrand(velocity::Array{Float64,2},dielectric::Array{Float64,2}, momentum::Float64, cutoff:;Float64, phi:: Float64, m::Int64, n::Int64, i::Int64) 

rg_procedure(functions::Array{Array{Float64,2},1}, functions_integrand::Array{Function,1}, m::Int64, n::Int64)

The function solves the exact FRG equations for the given set of functions(for example velocity, dielectric) input as an array. Functions returning the integrand should be provided in a array too. The integrand functions should have the following from

    function_integrand(functions::Array{Array{Float64,2},1}, momentum::Float64, cutoff::Float64, phi::Float64, m::Int64, n::Int64, i::Int64)