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 ${\mathcal{S}}_{\mathrm{BH}}l~{\mathcal{S}}_{H}.$
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.
33133795
Unified cosmology.
44579762
Explicit construction of massive spin-two fields in Kaluza-Klein theory.
We show how spontaneous breaking of the Virasoro group in the 5-dimensional Kaluza-Klein theory generates an infinite tower of massive spin-two fields. In particular we show explicitly how the massive spin-two fields can be expressed in terms of the helicity {plus minus}2,{plus minus}1,0 states. Moreover we prove that the effective Lagrangian reduces exactly to the Pauli-Fierz Lagrangian in the lowest order of the perturbation around the vacuum, when expressed exclusively by the massive spin-two fields.
41013694
Effective field theory of an internal string.
We obtain an effective field theory of an internal string by constructing a gauge theory of the Virasoro-Kac-Moody symmetry associated with [ital P][direct product][ital G], where [ital P] is the Poincare group and [ital G] is the grand unification group. The theory automatically breaks the Virasoro-Kac-Moody group down to [ital P][direct product][ital H][direct product]U(1), where [ital H] is a subgroup of [ital G] and U(1) is the Cartan subgroup of the Virasoro group. After the spontaneous symmetry breaking the mass spectrum of the theory is characterized by two completely different mass scales: the Planck scale which is responsible for the harmonic oscillator spectrum of the string and the elementary particle scale which is responsible for the fine structure of the mass spectrum. The theory allows a straightforward supersymmetric generalization.
119190881
The static quark potential from the gauge invariant Abelian decomposition
Abstract We investigate the relationship between colour confinement and the gauge independent Cho–Duan–Ge Abelian decomposition. The decomposition is defined in terms of a colour field n; the principle novelty of our study is that we have used a unique definition of this field in terms of the eigenvectors of the Wilson Loop. This allows us to establish an equivalence between the path-ordered integral of the non-Abelian gauge fields and an integral over an Abelian restricted gauge field which is tractable both theoretically and numerically in lattice QCD. We circumvent path ordering without requiring an additional path integral. By using Stokes' theorem, we can compute the Wilson Loop in terms of a surface integral over a restricted field strength, and show that the restricted field strength may be dominated by certain structures, which occur when one of the quantities parametrising the colour field n winds itself around a non-analyticity in the colour field. If they exist, these structures will lead to an area law scaling for the Wilson Loop and provide a mechanism for quark confinement. Unlike most studies of confinement using the Abelian decomposition, we do not rely on a dual-Meissner effect to create the inter-quark potential. We search for these structures in quenched lattice QCD. We perform the Abelian decomposition, and compare the electric and magnetic fields with the patterns expected theoretically. We find that the restricted field strength is dominated by objects which may be peaks of a single lattice spacing in size or extended string-like lines of electromagnetic flux. The objects are not isolated monopoles, as they generate electric fields in addition to magnetic fields, and the fields are not spherically symmetric, but may be either caused by a monopole/anti-monopole condensate, some other types of topological objects, or a combination of these. Removing these peaks removes the area law scaling of the string tension, suggesting that they are responsible for confinement.
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.