Collisions of cosmic strings with chiral currents

Abstract

We present an analytic study of cosmic superconducting chiral string collisions in Minkowski space, applying the kinematic constraints that arise from the relevant generalization of the Nambu-Goto action. In particular, we revisit the solution for chiral superconducting cosmic strings and demonstrate that Y junction production for such strings is possible. We consider the collision of chiral current-carrying straight strings and obtain the region in "angle-velocity" space that allows the production of string junctions. This study contributes to the understanding of the complex evolution of chiral superconducting string networks. * Ivan.Rybak@astro.up.pt † Anastasios.Avgoustidis@nottingham.ac.uk ‡ Carlos.Martins@astro.up.pt

Revisiting Y junctions for strings with currents: Transonic elastic case

“…The situation (24) reproduces the chiral string properties, where only left(or right)-moving mode is allowed [40,49,53,54].…”

“…Let's use the method from [49] to demonstrate that there are only two types of strings, whose equations of motion can be reduced to the wave equation: chiral (see [40,53]) and transonic elastic strings. We start consideration by writing down the equations of motion for the action (1) in Minkowski space [54]…”

“…(notice the change of the sign in (12) due to misprint in equation ( 6) of [54]). Parametrization invariance of the string worldsheet allows us to make the transformation…”

“…It is seen from ( 16) that the transformation ( 13) is possible due to parametrization invariance only if the function f (κ) is defined as for transonic elastic strings (10), or f (κ) is defined as for chiral strings, where the current is a null vector κ → 0 [54].…”

On the 2D Dirac oscillator in the presence of vector and scalar potentials in the cosmic string spacetime in the context of spin and pseudospin symmetries

“…According to the grand unified theories, these defects arise from a vacuum phase transition in the near universe. Recently, several studies have been developed in the theoretical context [58][59][60][61][62][63] and also by evidence of cosmic strings [64][65][66][67]. Cosmic strings are objects of studies of current interest because of the several important applications of topological features on physics systems in gravitation [68], condensed matter [57] and cosmology [69].…”