Equations of Motion and Galilei Invariance in D-Particle Dynamics
نویسنده
چکیده
As a continuation of our previous work on the multi-body forces of D-particles in supergravity and Matrix theory, we investigate the problem of motion. We show that the scattering of D-particles including recoil derived in Matrix theory is precisely reproduced by supergravity with the discrete light-cone prescription up to the second order in 11 dimensional Newton constant. An intimate connection of recoil and Galilei invariance in supergravity is pointed out and elucidated. e-mail address: [email protected] e-mail address: [email protected] 1
منابع مشابه
The Effects of Different SDE Calculus on Dynamics of Nano-Aerosols Motion in Two Phase Flow Systems
Langevin equation for a nano-particle suspended in a laminar fluid flow was analytically studied. The Brownian motion generated from molecular bombardment was taken as a Wiener stochastic process and approximated by a Gaussian white noise. Euler-Maruyama method was used to solve the Langevin equation numerically. The accuracy of Brownian simulation was checked by performing a series of simulati...
متن کاملX iv : m at h - ph / 0 10 20 11 v 2 9 A pr 2 00 1 THE MAXIMAL INVARIANCE GROUP OF NEWTON ’ S EQUATIONS FOR A FREE POINT PARTICLE †
The maximal invariance group of Newton's equations for a free nonrelativistic point particle is shown to be larger than the Galilei group. It is a semi-direct product of the static (nine-parameter) Galilei group and an SL(2, R) group containing time-translations, dilations and a one-parameter group of time-dependent scalings called expansions. This group was first discovered by Niederer in the ...
متن کاملدینامیک سالیتونهای مدل 6 φ در یک پتانسیل خارجی
In this paper, we study particle aspects of the φ6 kinks in an external potential. The external potential is implemented by breaking the translational invariance of the system. The dynamics of the kink is calculated for the simple harmonic oscillator (SHO) and barrier potentials. The periodic motion of the kink in the SHO case is compared to the corresponding ordinary (classical) motion. It i...
متن کاملConformal Galilean-type algebras, massless particles and gravitation
After defining conformal Galilean-type algebras for arbitrary dynamical exponent z we consider the particular cases of the conformal Galilei algebra (CGA) and the Schrödinger Lie algebra (sch). Galilei massless particles moving with arbitrary, finite velocity are introduced i) in d = 2 as a realization of the centrally extended CGA in 6 dimensional phase space, ii) in arbitrary spatial dimensio...
متن کاملThe Maximal Kinematical Invariance Group of Fluid Dynamics and Explosion-implosion Duality
It has recently been found that supernova explosions can be simulated in the laboratory by implosions induced in a plasma by intense lasers. A theoretical explanation is that the inversion transformation, (Σ : t → −1/t, x → x/t), leaves the Euler equations of fluid dynamics, with standard polytropic exponent, invariant. This implies that the kinematical invariance group of the Euler equations i...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008