Manuscript XVIII-B@2 · XVIII-B-v2.tex · section · 27ed4f4b

Complete contact freedom and zero-momentum calibration

Complete contact freedom and zero-momentum calibration · lines 1062–1092

XVIII-B@2#eq:finalPi

The massless Wick-square susceptibility in the supplied VII-H record has a different insertion, quantum order, and contact classification CheungVIIH. Even a future massless limit here would require a connecting theorem before it could be compared with that benchmark. Choosing $m > 0$ is not a completion of the massless special-family problem in XVI-N CheungXVIN.

normalized kernel. For the zero-momentum prescription, the completed response is

Π_{ab c d}^{R} (p) = ℏ [(Q_{2})_{ab c d} (p) F_{2} ((p^{0} + i 0)^{2} - ∣ p ∣^{2}) + (Q_{0})_{ab c d} (p) F_{0} ((p^{0} + i 0)^{2} - ∣ p ∣^{2})] .

Equations (eq:F2closed)–(eq:J0above) evaluate its two scalar functions completely.

Displayed formulas in this passage

XVIII-B@2#eq:finalPi · line 1075
$Π_{ab c d}^{R} (p) = ℏ [(Q_{2})_{ab c d} (p) F_{2} ((p^{0} + i 0)^{2} - ∣ p ∣^{2}) + (Q_{0})_{ab c d} (p) F_{0} ((p^{0} + i 0)^{2} - ∣ p ∣^{2})] .$

Complete contact freedom and zero-momentum calibration

Displayed formulas in this passage

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