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I have some questions for string specialists.

In stringy approaches, the Coleman-Weinberg formula is used to compute the one-loop vacuum amplitude. Such a formula occurs in QFT but also in string models.

1. I am a bit confused with the achievement of the Coleman-Weinberg formula (I know the paper of Coleman and Weinberg, Phys.Rev.D (1973)).

Can the paper of Polchinski (Commun. Math. Phys. 104, 37-47 (1986)) be considered as a demonstration of the Coleman-Weinberg formula in string formalism?

2. The Coleman-Weinberg formula is pretty nice since it can be expressed according to the string mass spectrum.

Is there a way to keep such a nice expression to compute a one-loop process with two vertices for instance? Are there some papers where such an approach is used?

Thank you.

Mike.

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# Coleman-Weinberg formula and one-loop processes in string formalism

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