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Gæsteforelæsning Seminar

10.12.2024   kl. 15:00 - 16:00

QM Research Seminar: Analytic Continuation of One-Loop String Amplitudes and its Evaluations

Speaker: Zhi-Zhen Wang
(Trinity College Dublin)

Abstract:
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Eberhardt-Mizera (2023) evaluated the one-loop bosonic and Type I open string amplitude via Rademacher method. In this talk, we will introduce two other different strategies to treat the modular integrals appearing in one-loop bosonic and Type I amplitudes of both open and closed strings, and in particular their analytic continuation based on a string theoretic analog of the iε-prescription of quantum field theory. We will identify the two strategies and evaluate various zero- and two-point amplitudes. Beyond the perfect agreement to that obtained from the Rademacher method, our approach further provided an exact expression as a combination of three partition functions in terms of a temperature variable. While each individual term depends on this variable, the sum does not. In particular, the imaginary part of the one-loop amplitude, which accounts for the decay widths, has a compact analytical form. Its relation to the Regge limit will also be discussed. This talk is based on our recent work 2411.02517.
  • Arrangør: Centre for Quantum Mathematics
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  • Kontakt Email:  qm@sdu.dk
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