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Title: Monopole-antimonopole interaction potential

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Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 96; Journal Issue: 10; Related Information: CHORUS Timestamp: 2017-11-28 13:36:34; Journal ID: ISSN 2470-0010
American Physical Society
Country of Publication:
United States

Citation Formats

Saurabh, Ayush, and Vachaspati, Tanmay. Monopole-antimonopole interaction potential. United States: N. p., 2017. Web. doi:10.1103/PhysRevD.96.103536.
Saurabh, Ayush, & Vachaspati, Tanmay. Monopole-antimonopole interaction potential. United States. doi:10.1103/PhysRevD.96.103536.
Saurabh, Ayush, and Vachaspati, Tanmay. 2017. "Monopole-antimonopole interaction potential". United States. doi:10.1103/PhysRevD.96.103536.
title = {Monopole-antimonopole interaction potential},
author = {Saurabh, Ayush and Vachaspati, Tanmay},
abstractNote = {},
doi = {10.1103/PhysRevD.96.103536},
journal = {Physical Review D},
number = 10,
volume = 96,
place = {United States},
year = 2017,
month =

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on November 28, 2018
Publisher's Accepted Manuscript

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  • We discuss the possibility of the formation in superfluid /sup 3/He-A of monopole-antimonopole pairs that carry angular momentum along the axis, especially in the context of situations characterized by a fixed value of the bulk angular momentum. Two rather different structures are considered, one which is likely to occur for large angular velocity (angular momentum), and another which could appear for low angular velocity (angular momentum).
  • The SU(2) Yang-Mills-Higgs theory supports the existence of monopoles, antimonopoles, and vortex rings. In this paper, we would like to present new exact static antimonopole-monopole-antimonopole (A-M-A) configurations. The net magnetic charge of these configurations is always -1, while the net magnetic charge at the origin is always +1 for all positive integer values of the solution's parameter m. However, when m increases beyond 1, vortex rings appear coexisting with these AMA configurations. The number of vortex rings increases proportionally with the value of m. They are located in space where the Higgs field vanishes along rings. We also show thatmore » a single-point singularity in the Higgs field does not necessarily correspond to a structureless 1-monopole at the origin but to a zero-size monopole-antimonopole-monopole (MAM) structure when the solution's parameter m is odd. This monopole is the Wu-Yang-type monopole and it possesses the Dirac string potential in the Abelian gauge. These exact solutions are a different kind of Bogomol'nyi-Prasad-Sommerfield (BPS) solutions as they satisfy the first-order Bogomol'nyi equation but possess infinite energy due to a point singularity at the origin of the coordinate axes. They are all axially symmetrical about the z-axis.« less
  • We consider static axially symmetric solutions of SU(2) Yang-Mills-Higgs theory. The simplest such solutions represent monopoles, multimonopoles and monopole-antimonopole pairs. In general such solutions are characterized by two integers, the winding number m of their polar angle, and the winding number n of their azimuthal angle. For solutions with n=1 and n=2, the Higgs field vanishes at m isolated points along the symmetry axis, which are associated with the locations of m monopoles and antimonopoles of charge n. These solutions represent chains of m monopoles and antimonopoles in static equilibrium. For larger values of n, totally different configurations arise, wheremore » the Higgs field vanishes on one or more rings, centered around the symmetry axis. We discuss the properties of such monopole-antimonopole chains and vortex rings, in particular, their energies and magnetic dipole moments, and we study the influence of a finite Higgs self-coupling constant on these solutions.« less
  • We construct monopole-antimonopole chain and vortex solutions in Yang-Mills-Higgs theory coupled to Einstein gravity. The solutions are static, axially symmetric, and asymptotically flat. They are characterized by two integers (m,n) where m is related to the polar angle and n to the azimuthal angle. Solutions with n=1 and n=2 correspond to chains of m monopoles and antimonopoles. Here the Higgs field vanishes at m isolated points along the symmetry axis. Larger values of n give rise to vortex solutions, where the Higgs field vanishes on one or more rings, centered around the symmetry axis. When gravity is coupled to themore » flat space solutions, a branch of gravitating monopole-antimonopole chain or vortex solutions arises and merges at a maximal value of the coupling constant with a second branch of solutions. This upper branch has no flat space limit. Instead in the limit of vanishing coupling constant it either connects to a Bartnik-McKinnon or generalized Bartnik-McKinnon solution, or, for m>4, n>4, it connects to a new Einstein-Yang-Mills solution. In this latter case further branches of solutions appear. For small values of the coupling constant on the upper branches, the solutions correspond to composite systems, consisting of a scaled inner Einstein-Yang-Mills solution and an outer Yang-Mills-Higgs solution.« less