TFPT scientific source excerpt
Original repository path: documents/archive--paper-latex--tfpt-42/sections/012-subsection-bosonic-relative-index-and-higgs-selection.tex
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000084 | \begin{remark}[Energy interpretation on the retained branch]
000085 | The older asymptotic bosonic functional
000086 | \[
000087 | \mathcal E_{\mathrm{asym}}(\Phi_2,\Phi_3)
000088 | :=
000089 | \tau_2\bigl|\mathrm{wind}(\det\Phi_2)\bigr|
000090 | +\tau_3\bigl|\mathrm{wind}(\det\Phi_3)\bigr|
000091 | +m_3^2\dim\ker\mathcal B_{E_3}^+,
000092 | \]
000093 | with $\tau_3>\tau_2>0$, remains a useful physical intuition for why the retained branch is energetically preferred. In the present rewrite, however, the structural weight is carried by the determinant-class theorem above rather than by the cost functional itself.
000094 | \end{remark}