35 research outputs found
Comments on the Monopole-Antimonopole Pair Solutions
Recently, the monopole-antimonopole pair and monopole-antimonopole chain
solutions are solved with internal space coordinate system of -winding
number greater than one. However, we notice that it is also possible to
solve these solutions numerically in terms of -winding number
instead. When , the exact asymptotic solutions at small and large
distances are parameterized by a single integer parameter . Here we once
again study the monopole-antimonopole pair solution of the SU(2)
Yang-Mills-Higgs theory which belongs to the topological trivial sector
numerically in its new form. This solution with -winding and
-winding number one is parameterized by at small and at
large .Comment: Two figures, 13 pages, to be sent for publicatio
Monopole Solutions of the Massive SU(2) Yang-Mills-Higgs Theory
Monopoles in topologically massive gauge theories in 2+1 dimensions with a
Chern-Simon mass term have been studied by Pisarski some years ago. He
investigated the SU(2) Yang-Mills-Higgs model with an additional Chern-Simon
mass term in the action. Pisarski argued that there is a monopole solution that
is regular everywhere, but found that it does not possess finite action. There
were no exact or numerical solutions being presented by Pisarski. Hence it is
our purpose to further investigate this solution in more detail. We obtained
numerical regular solutions that smoothly interpolates between the behavior at
small and large distances for different values of Chern-Simon term strength and
for several fixed values of Higgs field strength.Comment: 10, pages, 5 figure
Half-Monopole in the Weinberg-Salam Model
We present new axially symmetric half-monopole configuration of the
SU(2)U(1) Weinberg-Salam model of electromagnetic and weak
interactions. The half-monopole configuration possesses net magnetic charge
which is half the magnetic charge of a Cho-Maison monopole. The
electromagnetic gauge potential is singular along the negative -axis.
However the total energy is finite and increases only logarithmically with
increasing Higgs field self-coupling constant at
. In the U(1) magnetic field, the half-monopole is just
a one dimensional finite length line magnetic charge extending from the origin
and lying along the negative -axis. In the SU(2) 't Hooft magnetic
field, it is a point magnetic charge located at . The half-monopole
possesses magnetic dipole moment that decreases exponentially fast with
increasing Higgs field self-coupling constant at
.Comment: 14 pages, 3 Figure
Electrically Charged One and a Half Monopole Solution
Recently, we have discussed the coexistence of a finite energy one-half
monopole and a 't Hooft-Polyakov monopole of opposite magnetic charges. In this
paper, we would like to introduce electric charge into this new monopoles
configuration, thus creating a one and a half dyon. This new dyon possesses
finite energy, magnetic dipole moment and angular momentum and is able to
precess in the presence of an external magnetic field. Similar to the other
dyon solutions, when the Higgs self-coupling constant, , is
nonvanishing, this new dyon solution possesses critical electric charge, total
energy, magnetic dipole moment, and dipole separation as the electric charge
parameter, , approaches one. The electric charge and total energy
increase with to maximum critical values as for all
nonvanishing . However, the magnetic dipole moment decreases with
when and the dipole separation decreases with
when to minimum critical values as .Comment: 24 pages, 7 figures. arXiv admin note: text overlap with
arXiv:1208.4893, arXiv:1112.149
Monopole-Antimonopole Pair Dyons
Monopole-antimonopole pair (MAP) with both electric and magnetic charges are
presented. The MAP possess opposite magnetic charges but they carry the same
electric charges. These stationary MAP dyon solutions possess finite energy but
they do not satisfy the first order Bogomol'nyi equations and are not BPS
solutions. They are axially symmetric solutions and are characterized by a
parameter, which determines the net electric charges of
these MAP dyons. These dyon solutions are solved numerically when the magnetic
charges of the dipoles are and when the strength of the Higgs
field potential . When , the time component of the
gauge field potential is parallel to the Higgs field in isospin space and the
MAP separation distance, total energy and net electric charge increase
exponentially fast to infinity when approaches . However when
, all these three quantities approach a finite critical value as
approaches .Comment: 20 pages, 9 figures, 2 table
MAP, MAC, and Vortex-rings Configurations in the Weinberg-Salam Model
We report on the presence of new axially symmetric monopoles, antimonopoles
and vortex-rings solutions of the SU(2)U(1) Weinberg-Salam model of
electromagnetic and weak interactions. When the -winding number ,
and 2, the configurations are monopole-antimonopole pair (MAP) and
monopole-antimonopole chain (MAC) with poles of alternating sign magnetic
charge arranged along the -axis. Vortex-rings start to appear from the MAP
and MAC configurations when the winding number . The MAP configurations
possess zero net magnetic charge whereas the MAC configurations possess net
magnetic charge of .
In the MAP configurations, the monopole-antimonopole pair is bounded by the
field flux string and there is an electromagnetic current loop
encircling it. The monopole and antimonopole possess magnetic charges
respectively. In the MAC configurations
there is no string connecting the monopole and the adjacent antimonopole and
they possess magnetic charges respectively. The MAC
configurations possess infinite total energy and zero magnetic dipole moment
whereas the MAP configurations which are actually sphalerons possess finite
total energy and magnetic dipole moment. The configurations were investigated
for varying values of Higgs self-coupling constant at
Weinberg angle .Comment: 31 pages, 10 figures, 2 table
Exact Multimonopole Solutions Of The Yang-Mills-Higgs Theory.
We found some general exact static multimonopole solutions that satisfy the first order Bogomol'nyi equations and possess infinite energy. These multimonopole solutions can be categorized into two classes, namely the A2 and B2 solutions
Screening Solutions Of Multimonopole By Unit Charge Antimonopoles.
We would like to show in this paper that there exist a whole range of screening solutions of multirnonopole by unit charge antimonopoles in the SU(2) Yang-Mills-Higgs theory