Physics Seminar
Date: Wednesday, 14 June 2023
Time: 2:00 PM
Venue: Lecture Hall 5
Analytic Results for Loop-Level Momentum Space Witten Diagrams
Kajal Singh
HRI Allahabad.
14-06-23

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Abstract

In this talk, I present an evaluation of the wave function coefficients for conformally coupled scalars at both one and two-loop levels at leading order in the coupling constant, in momentum space. We make use of recursion relations developed in arxiv:{1811.01125} to regularize certain bulk-point integrals and express the wave function coefficients in a form that simplifies the loop integrals. We utilize hard-cutoff regularization to regularize the loop integrals and further provide a discussion on their renormalization. Our results can also be analytically continued to obtain answers for transition amplitudes in AdS.