VP SELF-ENERGY: SCALAR vs VECTOR POTENTIAL
======================================================================
Started: 2026-03-21 14:02:38
alpha = 0.007297, alpha^2 = 5.324638e-05
gamma = 0.0650898425

COMPARISON: Scalar vs Vector potential
Same lattice, same IC, same integrator. Only the potential differs.

  n    model   omega_meas  omega_err        E_avg      E_std  periods     leak
--------------------------------------------------------------------------------
  1   SCALAR   0.99640865   0.003039    84.391098   1.173258       53   0.0000
  1   VECTOR   0.99640865   0.003039    84.391098   1.173258       53   0.0000
  2   SCALAR   0.98993443   0.005551   212.460397   2.882245       53   0.0000
  2   VECTOR   0.98993443   0.005551   212.460397   2.882245       53   0.0000
  3   SCALAR   0.98077319   0.001186   333.473440   4.615084       54   0.0000
  3   VECTOR   0.98077319   0.001186   333.473440   4.615084       54   0.0000
  4   SCALAR   0.96108156   0.000484   457.624189   6.218309       54   0.0000
  4   VECTOR   0.96108156   0.000484   457.624189   6.218309       54   0.0000
  5   SCALAR   0.93341367   0.001292   591.405177   7.795192       54   0.0000
  5   VECTOR   0.93341367   0.001292   591.405177   7.795192       54   0.0000
  6   SCALAR   0.89332409   0.002537   739.307229   9.329991       52   0.0000
  6   VECTOR   0.89332409   0.002537   739.307229   9.329991       52   0.0000
  7   SCALAR   0.83467886   0.004301   906.207810  10.687979       50   0.0000
  7   VECTOR   0.83467886   0.004301   906.207810  10.687979       50   0.0000

VP EXTRACTION: omega_vector - omega_scalar
------------------------------------------------------------

  n   omega_scalar   omega_vector    delta_omega  delta/omega    alpha^2
----------------------------------------------------------------------
  1     0.99640865     0.99640865    +0.00000000    +5.57e-16   5.32e-05
  2     0.98993443     0.98993443    +0.00000000    +3.36e-16   5.32e-05
  3     0.98077319     0.98077319    +0.00000000    +0.00e+00   5.32e-05
  4     0.96108156     0.96108156    -0.00000000    -1.16e-15   5.32e-05
  5     0.93341367     0.93341367    -0.00000000    -2.02e-15   5.32e-05
  6     0.89332409     0.89332409    -0.00000000    -5.10e-15   5.32e-05
  7     0.83467886     0.83467886    +0.00000000    +1.29e-14   5.32e-05

If delta/omega ~ alpha^2 × Oh_fraction, VP is confirmed.
alpha^2 = 5.3246e-05
alpha^2 × 8/9 = 4.7330e-05
alpha^2 × 8/d^2 = 4.7330e-05

ENERGY COMPARISON:
  n       E_scalar       E_vector        delta_E    delta_E/E
------------------------------------------------------------
  1      84.391098      84.391098      +0.000000  +8.4196e-15
  2     212.460397     212.460397      +0.000000  +5.3510e-16
  3     333.473440     333.473440      +0.000000  +0.0000e+00
  4     457.624189     457.624189      +0.000000  +8.6950e-15
  5     591.405177     591.405177      +0.000000  +1.1918e-14
  6     739.307229     739.307229      +0.000000  +2.1990e-14
  7     906.207810     906.207810      -0.000000  -2.7976e-14

Completed: 2026-03-21 14:05:37
