Speaker: Zhi-Zhen Wang (Trinity College, Dublin)
Abstract: 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 computer-friendly combination of three partition functions in terms of a temperature variable. While each individual term depends on this variable, we have proved that 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.
Time: 15:00-16:30, Tue., Dec. 24, 2024
Location: Room 1610 at SIMIS, Block A, No. 657 Songhu Road, Yangpu District, Shanghai
Zoom Meeting No.: 423 317 8953 (Passcode: SIMIS)
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