Functional Renormalization Group is an nonperturbative functional method for solving effective actions.
This repository contains two parts:
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Get the FRG Flow Equation
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Feynman Rules from Lagrangian
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FRG Vertex Expansion(get the loop diagram)
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Tensor Projection and Super-Trace Computation(tensor contraction; internal momentum integration; matsubara sum)
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Solve the FRG Equation
We use Julia to solve the FRG equation. To solve FRG equation efficiently we needs lots of numeral tricks. We list these tricks below:
- Numerical Integration(CPU)
- Numerical Integration(GPU)
- Piecewise Interpolation(CPU)
- Piecewise Interpolation(GPU)
- Chebyshev Interpolation(CPU)
- Chebyshev Interpolation(GPU)
- Banded Matrix, Sparse Matrix multiplication on GPU
- Stiff ODE