Manuscript I-B-VP-0@1 · I-B-VP-0-v1.tex · section · 8a9d0682

Flat-space Aharonov–Bohm limit

Properties and information carried by the current › Flat-space Aharonov–Bohm limit · lines 868–882

I-B-VP-0@1#eq:flatlimit

At fixed $r > 0, β$ ,

J_{φ} ⟶ \frac{β ( 1 - β ) ( 2 β - 1 )}{12 π ^{2} r ^{2}} (α ↑ 1) .

This is the punctured flat-space flux result, not the ordinary untwisted Minkowski vacuum. For $β = 0$ , the current vanishes for every cone angle. The geometric deficit alone does not supply an independent charged-scalar character.

Displayed formulas in this passage

I-B-VP-0@1#eq:flatlimit · line 871
$J_{φ} ⟶ \frac{β ( 1 - β ) ( 2 β - 1 )}{12 π ^{2} r ^{2}} (α ↑ 1) .$