121597932
Gravitating 't Hooft Monopoles
The 't Hooft magnetic monopole solution of the SO(3) Higgs model generates, when coupled to gravity, a geometry which for large distances is of the Reissner--Nordstroem form corresponding to a (magnetic) charge 1/e. The Higgs fields can contribute a cosmological term. In the absence of scalar fields the corresponding Wu--Yang solution of the SO(3) gauge theory still generates the Reissner--Nordstroem geometry. (AIP)
122702870
Gauge theory of Poincare symmetry
The Einstein-Cartan theory of gravitation is shown to be the unique gauge theory of Poincare symmetry as far as one chooses the Lagrangian to be the lowest possible combination in field strengths. Kibble's derivation of the theory is reformulated and refined in the fiber-bundle picture. The gauge potentials of the Lorentz subgroup are identified as the local affine-connection coefficients which in general allow torsion, and the field strengths of this subgroup are identified as the curvature tensor of the corresponding Riemann-Cartan geometry. The spin current of fermion fields creates the torsion of the geometry. (AIP)
27816619
Fermionic vortex solutions in Chern-Simons electrodynamics.
We present anyonic vortex solutions made of real electrons which could be interpreted as nontopological solitons of the (2+1)-dimensional Chern-Simons electrodynamics. The {ital n}-soliton solutions, which we obtain by imposing an effective axial symmetry on the (3+1)-dimensional quantum electrodynamics, have 4{ital n} real parameters which represent the position, size, and phase of each soliton.
120676812
Internal structure of the monopoles
Abstract The non-abelian monopoles are shown to form linear multiplets under the color reflection symmetry of the original gauge group. This implies that as far as the gauge symmetry is kept unbroken only the singlet combinations of the monopoles may be admitted in the physical sector.
12642120
Anti-de Sitter Black Holes, Thermal Phase Transition and Holography in Higher Curvature Gravity
We study anti\char21{}de Sitter black holes in the Einstein-Gauss-Bonnet and the generic ${R}^{2}$ gravity theories, evaluate different thermodynamic quantities, and also examine the possibilities of Hawking-Page\char21{}type thermal phase transitions in these theories. In the Einstein theory, with a possible cosmological term, one observes a Hawking-Page phase transition only if the event horizon is a hypersurface of positive constant curvature $(k=1).$ But, with the Gauss-Bonnet and/or the $(\mathrm{Riemann}{)}^{2}$ interaction terms, there may occur a similar phase transition for a horizon of negative constant curvature $(k=\ensuremath{-}1).$ We examine the finite coupling effects, and find that $Ng5$ could trigger a Hawking-Page phase transition in the latter theory. For the Gauss-Bonnet black holes, one relates the entropy of the black hole to a variation of the geometric property of the horizon based on the first law and Noether charge. With a $(\mathrm{Riemann}{)}^{2}$ term, however, we can do this only approximately, and the two results agree when ${r}_{H}\ensuremath{\gg}L,$ the size of the horizon is much bigger than the AdS curvature scale. We establish some relations between bulk data associated with the AdS black hole and boundary data defined on the horizon of the AdS geometry. Following a heuristic approach, we estimate the difference between Hubble entropy $({\mathcal{S}}_{H})$ and Bekenstein-Hawking entropy $({\mathcal{S}}_{\mathrm{BH}})$ with a $(\mathrm{Riemann}{)}^{2}$ term, which, for $k=0$ and $k=\ensuremath{-}1,$ implies ${\mathcal{S}}_{\mathrm{BH}}l~{\mathcal{S}}_{H}.$
119290148
Vacuum tunneling in gravity
Topologically non-trivial vacuum structures in gravity models with Cartan variables (vielbein and contortion) are considered. We study the possibility of vacuum spacetime tunneling in Einstein gravity assuming that the vielbein may play a fundamental role in quantum gravitational phenomena. It has been shown that in the case of RP3 space topology, the tunneling between non-trivial topological vacuums can be realized by means of Eguchi?Hanson gravitational instanton. In the Riemann?Cartan geometric approach to quantum gravity, the vacuum tunneling can be provided by means of contortion quantum fluctuations. We define a double self-duality condition for the contortion and give explicit self-dual configurations which can contribute to vacuum tunneling amplitude.
119190991
Confinement From The Gauge Invariant Abelian Decomposition
A common approach while considering confinement is to study the dominance of an Abelian subgroup of the SU(3) gauge Links. A good way to find the Abelian component of the field is through the Cho-Guan-De gauge invariant Abelian Decomposition, which uses a carefully chosen direction vector $n$ to split the gauge field into an Abelian restricted field and a remnant coloured field. The restricted field can be further subdivided into topological and non-topological terms. We show that there is a choice of $n$ which allows us to exactly represent the Wilson Loop of full QCD as a function of only the restricted Abelian field without requiring any path ordering or additional path integrals. We present numerical evidence showing that the topological part of the restricted field dominates the string tension. We also show that $n$ contains certain topological objects, which, if they exist, will be at least partially responsible for confinement. These leave distinctive patterns in the restricted field strength, and we search for these structures in quenched lattice QCD.
121443233
MONOPOLE CONDENSATION AND MASS GAP IN SU(3) QCD
We demonstrate the monopole condensation in SU(3) QCD. We first discuss the gauge independent and Weyl symmetric Abelian (Cho-Duan-Ge) decomposition of the SU(3) QCD, and present a new gauge invariant integral expression of the one-loop effective action which has no infrared divergence. Integrating it gauge invariantly imposing the color reflection invariance ("the C-projection") we show that the effective potential generates the stable monopole condensation which generates the mass gap.