Two-loop Yang-Mills diagrams from superstring amplitudes

2015/03/17 by Lorenzo Magnea, Magnea, Lorenzo, Sam Playle +6
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #hep-ph #hep-th

paper · pdf · doi:10.48550/arxiv.1503.05182

42 pages plus appendices, 10 figures

arxiv created 2015/03/17 · openalex publication_date 2015/03/17 · arxiv updated 2015/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Starting from the superstring amplitude describing interactions among D-branes with a constant world-volume field strength, we present a detailed analysis of how the open string degeneration limits reproduce the corresponding field theory Feynman diagrams. A key ingredient in the string construction is represented by the twisted (Prym) super differentials, as their periods encode the information about the background field. We provide an efficient method to calculate perturbatively the determinant of the twisted period matrix in terms of sets of super-moduli appropriate to the degeneration limits. Using this result we show that there is a precise one-to-one correspondence between the degeneration of different factors in the superstring amplitudes and one-particle irreducible Feynman diagrams capturing the gauge theory effective action at the two-loop level.

Citations

• Two-loop Feynman Diagrams in Yang-Mills Theory from Bosonic String Amplitudes
• Non-linear electrodynamics from quantized strings
• Renormalization constants from string theory

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