Ultrarelativistic Soliton Collisions, Numerical Experiments and all that

The London Relativity and Cosmology Seminar
Eugene Lim (KCL)
March 5th, 2014 at 16:30
Maths 103
In contrast to their reputation of being "non-perturbative, strongly coupled and hard to calculate", the ultra-relativistic limit of soliton/defect collisions are actually weakly coupled and hence analytically tractable. I will present an analytic derivation of the phase and velocity shifts in general 1+1 soliton collisions, and check that these expressions are accurate with numerical simulations. 
This project is part of a general program that I am working on to understand non-perturbative physics with gravity backreaction, which involves the development of a generic adaptive mesh general relativity code GRCHOMBO. I will discuss the general goals of the program, and the current state of GRCHOMBO.