Effective Spinfoam

This repository contains Julia scripts for the numerical evaluation of the higher-order correction to the effective spinfoam action. It builds on LorentzianSimplexSolver for Lorentzian geometry reconstruction, Regge data, critical spinfoam action data, equations of motion, and Hessian blocks.

The paper-level workflow is:

using Pkg
Pkg.activate("../LorentzianSimplexSolver")

using LorentzianSimplexSolver
include("src/EffectiveSpinfoamWorkflow.jl")
using .EffectiveSpinfoamWorkflow

configure_precision!(Float64)

vertex_coords = build_vertex_coordinates(simplices, coords_lines, Float64)
data = build_effective_data(simplices, vertex_coords)
result = compute_effective_terms(data, 0.1)

M = result.M_kernel
correction = result.non_regge_correction
quadratic_action = result.spinfoam_quadratic

build_effective_data performs the gamma-independent construction: geometry, face matching, Regge action, critical Spinfoam action, Hessian symbols, deficit-angle derivatives, and perturbation data. compute_effective_terms evaluates the Hessian, the correction matrix M_kernel, and the three terms used in the paper: linear_regge, quadratic_regge, and non_regge_correction.

Dependency Layout

This project uses the sibling package:

../LorentzianSimplexSolver

The scripts activate this package environment directly. Place Effective-Spinfoam and LorentzianSimplexSolver side by side under the same parent folder.

Main Files

• main_interactive_driver.jl: interactive single-gamma calculation.
• run_gamma_scan_Mkernel.jl: batch scan of the kernel over a list of gamma values.
• src/EffectiveSpinfoamWorkflow.jl: compact workflow for computing M_kernel, the Regge terms, and the non-Regge correction.
• src/perturbations/: perturbation utilities used by the workflow.
• scripts/: lower-level symbolic derivative helpers.
• results/: saved kernel scans and figures.

Running

From this directory:

julia main_interactive_driver.jl

or for a gamma scan:

julia run_gamma_scan_Mkernel.jl

The scan script periodically saves gamma_list and M_kernel_matrix_list to the selected .jld2 file.