ar X iv : h ep - t h / 00 05 16 5 v 3 1 6 N ov 2 00 0 D – Branes and their Absorptivity in Born – Infeld Theory

ar X iv : h ep - t h / 00 05 16 5 v 1 1 8 M ay 2 00 0 D – Branes and their Absorptivity in Born – Infeld Theory

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....

ar X iv : h ep - t h / 05 11 16 1 v 1 1 6 N ov 2 00 5 The Effective Potential in the Massive φ 4 4 Model

ar X iv : h ep - t h / 05 11 16 1 v 2 1 9 N ov 2 00 6 The Effective Potential in the Massive φ 4 4 Model

/ 00 05 16 5 v 2 3 0 M ay 2 00 0 D – Branes and their Absorptivity in Born – Infeld Theory

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....

ar X iv : h ep - t h / 06 10 01 9 v 2 1 0 N ov 2 00 6 Born - Infeld Type Phantom Model in the ω − ω ′ Plane

In this paper, we investigate the dynamics of Born-Infeld(B-I) phantom model in the ω − ω ′ plane, which is defined by the equation of state parameter for the dark energy and its derivative with respect to N (the logarithm of the scale factor a). We find the scalar field equation of motion in ω − ω ′ plane, and show mathematically the property of attractor solutions which correspond to ωϕ ∼ −1,...