Interactions between $U(1)$ Cosmic Strings: An Analytical Study

Abstract

We derive analytic expressions for the interaction energy between two general $U(1)$ cosmic strings as the function of their relative orientation and the ratio of the coupling constants in the model. The results are relevant to the statistic description of strings away from critical coupling and shed some light on the mechanisms involved in string formation and the evolution of string networks.

31 pages,REVTEX, Imperial/TP/93-94/33

References in corpus (2)

• A Hierarchy of Effective Field Theories of Hot Electroweak Matter
• Non Intercommuting Configurations in the Collisions of Type-I $U(1)$ Cosmic Strings

Cited by in corpus (28)

• Static intervortex forces
• Cosmic strings and their induced non-Gaussianities in the cosmic microwave background
• Vacuum type of SU(2) gluodynamics in maximally Abelian and Landau gauges
• Flux tubes and the type-I/type-II transition in a superconductor coupled to a superfluid
• Cosmic Strings from Supersymmetric Flat Directions
• (Giant) Vortex - (anti) vortex interaction in bulk superconductors: The Ginzburg-Landau theory
• Non-intercommuting Cosmic Strings
• Critical magnetic fields in a superconductor coupled to a superfluid
• Static Interactions of non-Abelian Vortices
• Type-I cosmic string network
• Interaction between vortices in models with two order parameters
• Gauge Kinetic Mixing and Dark Topological Defects
• Statistical mechanics of vortices from field theory
• Gravitating (field theoretical) cosmic (p,q)-superstrings
• New Type of String Solutions with Long Range Forces
• Coleman-Weinberg Abrikosov-Nielsen-Olesen strings
• Brane World Cosmic String Interaction
• Winding Number Correlation Functions and Cosmic String Formation
• Quantum delocalization of strings with boundary action in Yang-Mills theory
• Dynamical simulations of colliding superconducting strings
• Non-Abelian vortex lattices
• Perturbative width of open rigid strings
• On QCD strings beyond non-interacting model
• Interaction between multi components vortices at arbitrary distances using a variational method in the Ginzburg-Landau theory
• A vortex description of the first-order phase transition in type-I superconductors
• Gravitational Waves from $\text{Type-I}$ Strings in a Neutrino Mass Model
• Multicomponent Superfluids and Superconductors in Dense Nuclear and Quark Matter
• Vortices in a Ginzburg Landau Theory of Superconductors with Nematic Order