I've noticed that in QFT literature, integrals are usually written as ∫dx f(x) instead of ∫f(x)dx. Why?
Answer
IMHO, the notation ∫badxf(x) is much cleaner than ∫baf(x)dx, because the integration variable (x) and its associated integral range (∫ba) are kept together. This is particularly important in lengthy and multi-dimensional integrals. Consider Υpq(k)=∫∞0dx∫β(x)0dy∫10dt∫0−∞dη∫∞−∞dκf(x,y,t)ei[kxx+kyy]−ηtΘpq(κ,ηk)
as opposed to Υpq(k)=∫∞0∫β(x)0∫10∫0−∞∫∞−∞f(x,y,t)ei[kxx+kyy]−ηtΘpq(κ,ηk)dκdηdtdydx.
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