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Rethinking Quantum Field Theory

Sep 27 – 30, 2016
DESY Hamburg
Europe/Berlin timezone

The semi-classical energy of rotating Nambu-Goto strings

Sep 28, 2016, 2:40 PM
20m
Seminar room 1 (DESY Hamburg)

Seminar room 1

DESY Hamburg

Notkestrasse 85, 22607 Hamburg
String & Mathematical Physics

Speaker

Jochen Zahn (Universität Leipzig)

Description

In the sense of perturbation theory around arbitrary classical solutions, the Nambu-Goto (NG) string can be consistently quantised as an effective theory for any dimension $D$ of the target space [Comm. Math. Phys. 327 (2014) 779, with D. Bahns & K. Rejzner]. In this framework, we compute semi-classical corrections to the energy of rotating NG strings, using the locally covariant renormalisation scheme developed in the context of QFT on curved space-times by Hollands & Wald. For the open NG string, we find that the energy density diverges in a non-integrable way at the boundaries. Regularizing these divergences with boundary counterterms, we find the Regge intercept $a=1 + (D-2)/24$. For the closed NG string, the energy density is finite and yields the same intercept. For this value of $a$, the NG string can not be quantised consistently in the covariant scheme for any dimension. [based on arXiv:1605.07928]

Primary author

Jochen Zahn (Universität Leipzig)

 Slides