Vulcanized Vortex

Abstract

We investigate vortex configurations with the "vulcanization" term inspired by the renormalization of ${\varphi }_{\star }^4$ theory in the canonical $\theta$-deformed noncommutativity. We focus on the classical limit of the theory described by a single parameter which is the ratio of the vulcanization and the noncommutativity parameters. We perform numerical calculations and find that nontopological vortex solutions exist as well as Q-ball type solutions, but topological vortex solutions are not admitted.

9 pages, 5 figures, final version published in Physical Review D

References in corpus (7)

• The quantum structure of spacetime at the Planck scale and quantum fields
• Noncommutative Perturbative Dynamics
• Bicrossproduct structure of $\kappa$-Poincare group and non-commutative geometry
• Renormalisation of ϕ^4-theory on noncommutative R^4 in the matrix base
• Quantum $\kappa$-Poincare in Any Dimensions
• Duality in Scalar Field Theory on Noncommutative Phase Spaces
• Renormalization of Non-Commutative Phi^4_4 Field Theory in x Space

Cited by in corpus (1)

• Smeared Hairs and Black Holes in Three-Dimensional de Sitter Spacetime