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Dimensional regularization is a method of isolating divergencies in scattering amplitudes.

2 votes
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RG equations for renormalized metric in string theory

I'm studying these PDF notes on strings on curved backgrounds and the author introduces the dimensional regularization of the theory by first defining the bare and renormalized target space metric, $G …
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2 votes
0 answers
45 views

Are the one-loop beta functions in bosonic string theory written in terms of bare or renorma...

Given a bosonic string theory defined by the action $$\tag1 S = \frac{1}{4\pi \alpha'}\int_\Sigma \! \mathrm{d}^2 \sigma \, \sqrt{|g|} \, \left[ G_{\mu\nu} \partial_\alpha X^\mu \partial_\beta X^\nu …
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3 votes
1 answer
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How is the dimensionful renornalization scale $\mu$ related to break of scale invariance in ...

In the $7.1.1$ of David Tong's String Theory notes it is said the following about regularization of Polyakov action in a curved target manifold: $$\tag{7.3} S= \frac{1}{4\pi \alpha'} \int d^2\sigma \ …
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