Confluent Heun functions in gauge theories on thick braneworlds

Journal Article · Sat Oct 15 04:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.84.085002· OSTI ID:21607936

Cunha, M S ^[1]; Christiansen, H R ^[1]

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1. Grupo de Fisica Teorica, State University of Ceara (UECE), Avenida Paranjana 1700, 60740-903 Fortaleza, Ceara (Brazil)

We investigate the propagation modes of gauge fields in an infinite Randall-Sundrum scenario. In this model a sine-Gordon soliton represents our thick four-dimensional braneworld while an exponentially coupled scalar acts for the dilaton field. For the gauge-field motion we find a differential equation which can be transformed into a confluent Heun equation. By means of another change of variables we obtain a related Schroedinger equation with a family of symmetric rational ({gamma}-{omega}z{sup 2})/(1-z{sup 2}){sup 2} potential functions. We discuss both results and present the infinite spectrum of analytical solutions for the gauge field. Finally, we assess the existence and the relative weights of Kaluza-Klein modes in the present setup.

• OSTI ID: 21607936
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 84; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANALYTICAL SOLUTION
BRANES
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
KALUZA-KLEIN THEORY
M-THEORY
MATHEMATICAL SOLUTIONS
PARTIAL DIFFERENTIAL EQUATIONS
SCHROEDINGER EQUATION
SINE-GORDON EQUATION
SPECTRA
SYMMETRY
UNIFIED-FIELD THEORIES
WAVE EQUATIONS