Monopole percolation in the compact Abelian Higgs model

Baig, M.; Clua, J.

doi:10.1103/physrevd.57.3902

Cited by 14 publications

(16 citation statements)

References 27 publications

(43 reference statements)

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“…Consistently monopoles and dyons have become an intrinsic part of all current grand unified theories [24][25][26][27][28]. The bound state of two dyons consist different solutions than the bound state of hydrogen atom due to the presence of magnetic charge on dyon.…”

Section: Phenomenological Behaviour Of Bound States Of Monopoles and mentioning

confidence: 99%

“…Now it has been widely recognized [24][25][26][27][28] that SU(5) grand unified model [24][25][26][27][28] is a gauge theory that contains monopole and dyon solutions. Consistently monopoles and dyons have become an intrinsic part of all current grand unified theories [24][25][26][27][28].…”

Section: Phenomenological Behaviour Of Bound States Of Monopoles and mentioning

confidence: 99%

“…Perhaps the reason for our inability to see these particles with certainty lies elsewhere rather than in their inconsistencies of relativistic quantum field theory. Julia and Zee [24][25][26][27][28] extended the idea of 't Hooft-Polyakov to construct classical solutions for non-Abelian dyons which arise as quantum mechanical excitations of fundamental monopoles. They come automatically from the semi classical quantization of global-charge-rotation degrees of freedom of monopoles.…”

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confidence: 98%

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Bound States of Monopoles and Dyons with Spin-1/2 Particles in SU(2) Gauge Theory Under Moduli Space Approximation

Joshi¹,

Swarup

2010

Int J Theor Phys

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Energy spectrum and degeneracy associated with bound states of monopoles and dyons in non-Abelian gauge theory has been investigated and it is shown that energy levels expand due to the presence of additional degeneracies. Splitting of energy level of dyonium in presence of external magnetic and electric field has also been analyzed confirming the presence of additional degeneracy levels of the system. In addition, the study of behaviour of a fermion moving in the field of non-Abelian dyon in moduli space under SU(2) gauge potential has been undertaken and energy eigen values for the system are carried out. Detailed analysis of relativistic correction in fermion-dyon system in moduli space is presented and angular momentum operators of the system are derived, which demonstrates that besides the contribution of Higgs field, the interaction of spin and orbital angular momentum of moving fermion also contributes to the energy operator.

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Section: Phenomenological Behaviour Of Bound States Of Monopoles and mentioning

confidence: 99%

Section: Phenomenological Behaviour Of Bound States Of Monopoles and mentioning

confidence: 99%

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confidence: 98%

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Bound States of Monopoles and Dyons with Spin-1/2 Particles in SU(2) Gauge Theory Under Moduli Space Approximation

Joshi¹,

Swarup

2010

Int J Theor Phys

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“…In the case of QCD one can realize both patterns simultaneously. Let us take any of the six octet fields (13), (14) or (16), and project it onto the Cartan subgroup . The color direction of this field in any point is usually not perpendicular to any of the root vectors (21) apart from rare degenerate cases.…”

Section: Generalization To Su(3) Gauge Groupmentioning

confidence: 99%

Embedded monopoles in quark eigenmodes in SU(2) Yang-Mills theory

Chernodub

Morozov

2006

Phys. Rev. D

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We study the embedded QCD monopoles ("quark monopoles") using low-lying eigenmodes of the overlap Dirac operator in zero-and finite-temperature SU(2) Yang-Mills theory on the lattice. These monopoles correspond to the gauge-invariant hedgehogs in the quark-antiquark condensates. The monopoles were suggested to be agents of the chiral symmetry restoration since their cores should suppress the chiral condensate. We study numerically the scalar, axial and chirally invariant definitions of the embedded monopoles and show that the monopole densities are in fact globally anti-correlated with the density of the Dirac eigenmodes. We observe, that the embedded monopoles corresponding to low-lying Dirac eigenvalues are dense in the chirally invariant (high temperature) phase and dilute in the chirally broken (low temperature) phase. We find that the scaling of the scalar and axial monopole densities towards the continuum limit is similar to the scaling of the string-like objects while the chirally invariant monopoles scale as membranes. The excess of gluon energy at monopole positions reveals that the embedded QCD monopole possesses a gluonic core, which is, however, empty at the very center of the monopole.

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“…Subsequently it became clear that the monopole and dyon can be understood better in non-abelian gauge theories [1,2,[16][17][18] and that the reasons for not seeing these particles so far with certainty lie elsewhere rather than due to their inconsistencies in relativistic quantum field theory. Now it is widely recognized that SU(5) grand unified model [19][20][21] is a gauge theory that contains monopole and dyon solutions and consistently monopoles and dyons have become intrinsic part of all current grand unified theories [22,23].…”

Section: Introductionmentioning

confidence: 99%