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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
Received: 19 November 2012/Accepted: 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;
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*Corresponding author; email: kmwong@usm.my
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