Sains Malaysiana 42(12)(2013): 1805–1810

Cho Abelian Decomposition of Monopole-Antimonopole Pair Gauge Potentials

(Penghuraian Abelan Cho kepada Keupayaan Tolok Pasangan Monokutub-Antimonokutub)

KHAI-MING WONG*, PEI-YEN TAN & ROSY THE

School of Physics, Universiti Sains Malaysia, 11800 USM, Penang, Malaysia

Diserahkan: 19 November 2012/Diterima: 1 April 2013

ABSTRACT

Recently we have reported on standard MAP and generalized Jacobi Elliptic monopole-antimonopole pair (MAP) solutions of the SU(2) Yang-Mills-Higgs model. Here we apply Cho Abelian decomposition to the gauge potential of these MAP solutions. It is shown that the point singularities at the locations of the monopole (antimonopole), that comes from the restricted part, are removed by the unrestricted valence potential. We also consider the effect of decomposition upon energy and magnetic charge density for the cases of standard MAP and generalized Jacobi elliptic MAP solutions, under the conditions of vanishing (λ = 0) and non vanishing (λ = 1) Higgs potential.

Keywords: Cho Abelian decomposition; monopole; Yang-Mills-Higgs

ABSTRAK

Sebelum ini, kami telah melaporkan penyelesaian MAP-piawai dan pasangan monokutub-antimonokutub (MAP) Jacobi Eliptik umum kepada model SU(2) Yang-Mills-Higgs. Di sini kami menggunakan kaedah penghuraian Abelian Cho ke atas keupayaan tolok penyelesaian tersebut. Kami menunjukkan titik tak-terhingga di lokasi monokutub (antimonokutub) yang berasal daripada bahagian terhad boleh dipadamkan oleh keupayaan valens. Kami juga mengambil kira kesan penghuraian ke atas tenaga dan ketumpatan cas magnet bagi kes MAP-piawai dan penyelesaian MAP Jacobi eliptik, dalam keadaan keupayaan Higgs lenyap (λ = 0) dan tidak lenyap (λ = 1).

Kata kunci: Monokutub; penghuraian abelian Cho; Yang-Mills-Higgs

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*Pengarang untuk surat-menyurat; email: kmwong@usm.my