D-Branes and their Absorptivity in Born-Infeld Theory
arXiv:hep-th/0005165 · doi:10.1016/S0550-3213(00)00663-5
Abstract
Standard methods of nonlinear dynamics are used to investigate the stability of particles, branes and D-branes of abelian Born-Infeld theory. In particular the equation of small fluctuations about the D-brane is derived and converted into a modified Mathieu equation and - complementing earlier low-energy investigations in the case of the dilaton-axion system - studied in the high-energy domain. Explicit expressions are derived for the S-matrix and absorption and reflection amplitudes of the scalar fluctuation in the presence of the D-brane. The results confirm physical expectations and numerical studies of others. With the derivation and use of the (hitherto practically unknown) high energy expansion of the Floquet exponent our considerations also close a gap in earlier treatments of the Mathieu equation.
latex, 26 pages, 4 figures, one reference added, to appear in Nucl. Phys. B
References in corpus (5)
Cited by in corpus (12)
- Born-Infeld Theory and Stringy Causality
- Effect of Scalar Mass in the Absorption and Emission Spectra of Schwarzschild Black Hole
- Classical irregular block, N=2 pure gauge theory and Mathieu equation
- Absorption Cross Section for S-wave massive Scalar
- On the Inequivalence of Renormalization and Self-Adjoint Extensions for Quantum Singular Interactions
- Classical irregular blocks, Hill's equation and PT-symmetric periodic complex potentials
- The Structure of D2-Branes in the Presence of an RR field
- D2-branes with magnetic flux in the presence of RR fields
- Investigating Brane Resolution With Perturbative Dynamics
- Multichannel Framework for Singular Quantum Mechanics
- Electromagnetic scattering on D3-brane spikes
- A Note on Tachyons in the System