Aspects of Planckian Scattering beyond the Eikonal
نویسنده
چکیده
We discuss an approach to compute two-particle scattering amplitudes for spinless particles colliding at Planckian centre-of-mass energies, with increasing momentum transfer away from the eikonal limit. For electrically neutral particles, the amplitude exhibits poles on the imaginary squared cm energy axis at locations that are distinct from those appearing in the eikonal limit. For charged particles, electromagnetic and gravitational effects remain decoupled for the eikonal situation as also the leading order (in momentum transfer, or equivalently, the impact parameter) correction, but mix non-trivially for higher orders. E-Mail: saurya,[email protected] 1
منابع مشابه
Planckian Scattering Beyond the Eikonal Approximation in the Functional Approach
In the framework of functional integration the non-leading terms to leading eikonal behavior of the Planckian-energy scattering amplitude are calculated by the straight-line path approximation. We show that the allowance for the first-order correction terms leads to the appearance of retardation effect. The singular character of the correction terms at short distances is also noted, and they ma...
متن کاملPlanckian Scattering from Kerr Black Holes: Eikonal and Beyond
Planckian scattering of particles with angular momenta is studied by describing them as sources of Kerr metric. In the shock wave formalism, it is found that the angular momenta do not contribute to the scattering amplitude in the eikonal limit. This is confirmed by using the wave equation of the test particle in the Kerr background. Typeset using REVTEX E-Mail: saurya,[email protected] 1
متن کاملPlanckian Scattering beyond the Eikonal Approximation in the Quasi-potential Approach
Asymptotic behavior of the scattering amplitude for two scalar particles by scalar, vector and tensor exchanges at high energy and fixed momentum transfers is reconsidered in quantum field theory. In the framework of the quasi-potential approach and the modified perturbation theory a systematic scheme of finding the leading eikonal scattering amplitudes and its corrections are developed and con...
متن کاملEikonal Quantum Gravity and Planckian Scattering*
Various approaches to high energy forward scattering in quantum gravity are compared using the eikonal approximation. The massless limit of the eikonal is shown to be equivalent to other approximations for the same process, speci cally the semiclassical calculation due to G. 't Hooft and the topological eld theory due to H. and E. Verlinde. This comparison clari es these previous results, as it...
متن کاملPlanckian Scattering of D - Branes
We consider the gravitational scattering of point particles in four dimensions, at Planckian centre of mass energy and low momentum transfer, or the eikonal approximation. The scattering amplitude can be exactly computed by modelling point particles by very generic metrics. A class of such metrics are black hole solutions obtained from dimensional reduction of p-brane solutions with one or more...
متن کامل