Self-consistent solutions for vacuum currents around a magnetic flux string

Li, Hsiang-nan; Coker, David A.; Goldhaber, Alfred S.

doi:10.1103/physrevd.47.694

Cited by 14 publications

(14 citation statements)

References 16 publications

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“…[33][34][35][36][37][38][39]). An important aspect is the possibility of giving a topological mass to the gauge bosons without breaking gauge invariance.…”

Section: Introductionmentioning

confidence: 99%

Fermionic current densities induced by magnetic flux in a conical space with a circular boundary

et al. 2010

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We investigate the vacuum expectation value of the fermionic current induced by a magnetic flux in a (2 þ 1)-dimensional conical spacetime in the presence of a circular boundary. On the boundary the fermionic field obeys the MIT bag boundary condition. For irregular modes, a special case of boundary conditions at the cone apex is considered, when the MIT bag boundary condition is imposed at a finite radius, which is then taken to zero. We observe that the vacuum expectation values for both the charge density and azimuthal current are periodic functions of the magnetic flux with the period equal to the flux quantum whereas the expectation value of the radial component vanishes. For both exterior and interior regions, the expectation values of the current are decomposed into boundary-free and boundary-induced parts. For a massless field the boundary-free part in the vacuum expectation value of the charge density vanishes, whereas the presence of the boundary induces nonzero charge density. Two integral representations are given for the boundary-free part in the case of a massive fermionic field for arbitrary values of the opening angle of the cone and magnetic flux. The behavior of the induced fermionic current is investigated in various asymptotic regions of the parameters. At distances from the boundary larger than the Compton wavelength of the fermion particle, the vacuum expectation values decay exponentially with the decay rate depending on the opening angle of the cone. We make a comparison with the results already known from the literature for some particular cases.

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“…[33][34][35][36][37][38][39]). An important aspect is the possibility of giving a topological mass to the gauge bosons without breaking gauge invariance.…”

Section: Introductionmentioning

confidence: 99%

Fermionic current densities induced by magnetic flux in a conical space with a circular boundary

et al. 2010

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“…For example, for a static configuration, the Coulomb repulsion between the localized charges could be so important as to spread the charge density out over a large region, since the charge density due to the zero mode shall induce an electromagnetic field normal to the defect hypersurface. On the other hand, we note that our study may be thought of as a domain-wall analog of the consideration of the self consistent vacuum currents in the presence of vortices [5].…”

Section: Introductionmentioning

confidence: 99%

Interacting fermions and domain wall defects in 2+1 dimensions

Rold

Fosco

López

2003

Journal of Mathematical Physics

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We consider a Dirac field in 2 + 1 dimensions with a domain wall like defect in its mass, minimally coupled to a dynamical Abelian vector field. The mass of the fermionic field is assumed to have just one linear domain wall, which is externally fixed and unaffected by the dynamics. We show that, under some general conditions on the parameters, the localized zero modes predicted by the Callan and Harvey mechanism are stable under the electromagnetic interaction of the fermions.

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“…They exhibit a number of interesting effects, such as parity violation, flavor symmetry breaking, and fractionalization of quantum numbers (see Refs. [26][27][28][29][30][31][32][33]). An important aspect is the possibility of giving a topological mass to the gauge bosons without breaking gauge invariance.…”

Section: Introductionmentioning

confidence: 99%

Fermionic Casimir densities in a conical space with a circular boundary and magnetic flux

2012

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The vacuum expectation value (VEV) of the energy-momentum tensor for a massive fermionic field is investigated in a (2 þ 1)-dimensional conical spacetime in the presence of a circular boundary and an infinitely thin magnetic flux located at the cone apex. The MIT bag boundary condition is assumed on the circle. At the cone apex we consider a special case of boundary conditions for irregular modes, when the MIT bag boundary condition is imposed at a finite radius, which is then taken to zero. The presence of the magnetic flux leads to the Aharonov-Bohm-like effect on the VEV of the energy-momentum tensor. For both exterior and interior regions, the VEV is decomposed into boundary-free and boundary-induced parts. Both these parts are even periodic functions of the magnetic flux with the period equal to the flux quantum. The boundary-free part in the radial stress is equal to the energy density. Near the circle, the boundary-induced part in the VEV dominates and for a massless field the vacuum energy density is negative inside the circle and positive in the exterior region. Various special cases are considered.

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Self-consistent solutions for vacuum currents around a magnetic flux string

Cited by 14 publications

References 16 publications

Fermionic current densities induced by magnetic flux in a conical space with a circular boundary

Fermionic current densities induced by magnetic flux in a conical space with a circular boundary

Interacting fermions and domain wall defects in 2+1 dimensions

Fermionic Casimir densities in a conical space with a circular boundary and magnetic flux

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