A transfer matrix method for resonances in Randall-Sundrum models

In this paper we discuss in detail a numerical method to study resonances in membranes generated by domain walls in Randall-Sundrum-like scenarios. It is based on similar works to understand the quantum mechanics of electrons subject to the potential barriers that exist in heterostructures in semico...

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Published inThe journal of high energy physics Vol. 2011; no. 8
Main Authors Landim, R. R., Alencar, G., Tahim, M. O., Filho, R. N. Costa
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.08.2011
Springer Nature B.V
Subjects
Classical and Quantum Gravitation
Domain walls
Elementary Particles
Heterostructures
High energy physics
Numerical methods
Physics
Physics and Astronomy
Potential barriers
Quantum Field Theories
Quantum Field Theory
Quantum mechanics
Quantum Physics
Relativity Theory
String Theory
Transfer matrices
Phenomenology of Large extra dimensions
Phenomenology of Field Theories in Higher Dimensions
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ISSN1029-8479
1029-8479
DOI10.1007/JHEP08(2011)071

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Summary:In this paper we discuss in detail a numerical method to study resonances in membranes generated by domain walls in Randall-Sundrum-like scenarios. It is based on similar works to understand the quantum mechanics of electrons subject to the potential barriers that exist in heterostructures in semiconductors. This method was used recently to study resonances of a three form field and lately generalized to arbitrary forms. We apply it to a lot of important models, namely those that contain the Gauge, Gravity and Spinor fields. In many cases we find a rich structure of resonances which depends on the parameters involved.
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ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP08(2011)071