Scaling with quadratic gradients and a potential

For a nontrivial static 3D configuration, E2>0, EV≥0 and fixed vacuum boundary on all space; shrinking λ lowers energy.

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Q_\lambda(\mathbf x)=Q(\mathbf x/\lambda),\quad E(\lambda)=\lambda E_2+\lambda^3E_V,\quad E'(1)=E_2+3E_V>0

For a nontrivial static 3D configuration, E2>0, EV≥0 and fixed vacuum boundary on all space; shrinking λ lowers energy.
Chapter reference: Ch. 4 (4.20) · ASD-BOOK-ddbade997b45

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Ch. 4 (4.20)

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For a nontrivial static 3D configuration, E2>0, EV≥0 and fixed vacuum boundary on all space; shrinking λ lowers energy.

Source locators: p1367–p1369

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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MAT-d1034a344d58 · Ch. 4 (4.20)

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