Is Phi^3 Theory in Five Dimensions Supposed to Be Finite?

[electroweak]

OK, I think I am missing something very basic...

When regularizing phi^3 theory in six dimensions, Srednicki comes to eq 14.30, which shows that the 1-loop contribution to the propagator diverges (the gamma function has a pole). This is good.

OK. Now let d=5 (or epsilon=1). Actually, go ahead and let d=1001 or any odd number. Then 14.30 is finite, which definitely seems wrong. "Superficially," the diagram should diverge...

What am I screwing up?

 

[dauto]

Your question would be easier to answer if you actually told us what's in equation 14.3.

 

[Avodyne]

See this thread: https://www.physicsforums.com/showthread.php?t=325227

 

[pandasarecute1]

@dauto, how is 14.3 going to help resolve equation 14.30?