Scattering on the supermembrane

A bstract We compute the one-loop 2 → 2 scattering amplitude of massless scalars on the world volume of an infinite D = 11 supermembrane quantized in the static gauge. The resulting expression is manifestly finite and turns out to be much simpler than in the bosonic membrane case in arXiv:2308.12189...

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Bibliographic Details
Published in:The journal of high energy physics 2024-08, Vol.2024 (8), p.102-28, Article 102
Main Authors: Seibold, Fiona K., Tseytlin, Arkady A.
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Effective Field Theories
Elementary Particles
M-Theory
Membranes
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scalars
Scattering amplitude
String Theory
Superstrings and Heterotic Strings
Symmetry
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Summary:A bstract We compute the one-loop 2 → 2 scattering amplitude of massless scalars on the world volume of an infinite D = 11 supermembrane quantized in the static gauge. The resulting expression is manifestly finite and turns out to be much simpler than in the bosonic membrane case in arXiv:2308.12189 being proportional to the tree-level scattering amplitude. We also consider the case of ℝ 1, 1  ×  S 1 membrane with one dimension compactified on a circle of radius R and demonstrate how the supermembrane scattering amplitude reduces to the one on an infinite D = 10 Green-Schwarz superstring in the limit of R → 0.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP08(2024)102