Manuscript VII-D@1 · VII-D.tex · section · ef67c89c

Positive-cutoff definition and regulator placement

The exact distribution and intersection coordinates › Positive-cutoff definition and regulator placement · lines 370–381

VII-D@1#eq:Deps

Define

D_{ε} (z) = \int_{R^{3}} \frac{d ^{3} q}{( 2 π ) ^{3}} \frac{ω _{m} ( q )}{2} M_{ε} (∣ q ∣)^{2} e^{- i ω_{m} (q) z^{0} + i q \cdot z} .

Displayed formulas in this passage

VII-D@1#eq:Deps · line 373
$D_{ε} (z) = \int_{R^{3}} \frac{d ^{3} q}{( 2 π ) ^{3}} \frac{ω _{m} ( q )}{2} M_{ε} (∣ q ∣)^{2} e^{- i ω_{m} (q) z^{0} + i q \cdot z} .$