Applied Holography by Matteo Baggioli
Author:Matteo Baggioli
Language: eng
Format: epub
ISBN: 9783030351847
Publisher: Springer International Publishing
Exercise # 7: A numerical Green’s function.
Use Eq. (3.53) to obtain numerically the Green’s function (3.55) for various values of m/T and various potentials .
Try to implement the numerics with a matching method (as shown in the available notebook) and also with a simple shooting method from the horizon. Using this second method, what you have to do is 1.Solve the equation close to the horizon, imposing regularity therein.
2.Use the NDSolve routine of Mathematica (https://reference.wolfram.com/language/ref/NDSolve.html) to solve numerically the differential equation from the horizon to the boundary, by imposing at the horizon the b.c.s. you found in the previous point.
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