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254
Ricci Flow with Surgery on ThreeManifolds
"... This is a technical paper, which is a continuation of [I]. Here we verify most of the assertions, made in [I, §13]; the exceptions are (1) the statement that a 3manifold which collapses with local lower bound for sectional curvature is a graph manifold this is deferred to a separate paper, as the ..."
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Cited by 448 (2 self)
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possible subset of spacetime, a goal, that has not been achieved yet in the present work. For this reason, we consider two scale bounds: the cutoff radius h, which is the radius of the necks, where the surgeries are performed, and the much larger radius r, such that the solution on the scales less than r
IR Cutoff
, 709
"... Abstract: We show that the confinementdeconfinement phase transition of supersymmetric YangMills theories with 16 supercharges in various dimensions can be realized through the HawkingPage phase transition between the near horizon geometries of black Dpbranes and BPS Dpbranes by removing a smal ..."
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small radius region in the geometry in order to realize a confinement phase, which generalizes Herzog’s discussion for the holographic hardwall AdS/QCD model. Removing a small radius region in the gravitational dual corresponds to introducing an IR cutoff in the dual field theory. We also discuss
Split States, Entropy Enigmas, Holes and Halos
, 2007
"... We investigate degeneracies of BPS states of Dbranes on compact CalabiYau manifolds. We develop a factorization formula for BPS indices using attractor flow trees associated to multicentered black hole bound states. This enables us to study background dependence of the BPS spectrum, to compute e ..."
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Cited by 235 (22 self)
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from the original conjecture in several aspects. In particular we obtain a nontrivial measure factor g −2 top e−K and find factorization requires a cutoff. We show that the main factor determining the cutoff and therefore the error is the existence of “swing states ” — D6 states which exist at large
THE CUTOFF COVERING SPECTRUM
, 705
"... Abstract. We introduce the R cutoff covering spectrum and the cutoff covering spectrum of a metric space or Riemannian manifold. The spectra measure the sizes of localized holes in the space and are defined using covering spaces called δ covers and R cutoff δ covers. They are investigated using δ ..."
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Cited by 5 (1 self)
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δ homotopies which are homotopies via grids whose squares are mapped into balls of radius δ. On locally compact spaces, we prove that these new spectra are subsets of the closure of the length spectrum. We prove the R cutoff covering spectrum is almost continuous with respect to the pointed Gromov
Lowmomentum interactions with smooth cutoffs
, 2006
"... Nucleonnucleon potentials evolved to low momentum, which show great promise in few and manybody calculations, have generally been formulated with a sharp cutoff on relative momenta. However, a sharp cutoff has technical disadvantages and can cause convergence problems at the 10–100 keV level in t ..."
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Cited by 2 (1 self)
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Nucleonnucleon potentials evolved to low momentum, which show great promise in few and manybody calculations, have generally been formulated with a sharp cutoff on relative momenta. However, a sharp cutoff has technical disadvantages and can cause convergence problems at the 10–100 keV level
On a Gravitational Cutoff for the Vacuum Energy
"... A possible connection between the energy W of the vacuum fluctuations of quantum fields and gravity in "empty space" is conjectured in this paper using a natural cutoff of high momenta with the help of the gravitational radius of the vacuum region considered. We found that below some &quo ..."
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A possible connection between the energy W of the vacuum fluctuations of quantum fields and gravity in "empty space" is conjectured in this paper using a natural cutoff of high momenta with the help of the gravitational radius of the vacuum region considered. We found that below some
What is the largest Einstein radius in the universe?
, 2009
"... The Einstein radius plays a central role in lens studies as it characterises the strength of gravitational lensing. In particular, the distribution of Einstein radii near the upper cutoff should probe the probability distribution of the largest mass concentrations in the universe. Adopting a triaxia ..."
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The Einstein radius plays a central role in lens studies as it characterises the strength of gravitational lensing. In particular, the distribution of Einstein radii near the upper cutoff should probe the probability distribution of the largest mass concentrations in the universe. Adopting a
THE STRANGENESS RADIUS AND MAGNETIC MOMENT OF THE NUCLEON REVISITED #1
, 1995
"... We update Jaffe’s estimate of the strange isoscalar radius and magnetic moment of the nucleon. We make use of a recent dispersion–theoretical fit to the nucleon electromagnetic form factors and an improved description of symmetry breaking in the vector nonet. We find µs = −0.24 ± 0.03 n.m. and r2 s ..."
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Cited by 1 (0 self)
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We update Jaffe’s estimate of the strange isoscalar radius and magnetic moment of the nucleon. We make use of a recent dispersion–theoretical fit to the nucleon electromagnetic form factors and an improved description of symmetry breaking in the vector nonet. We find µs = −0.24 ± 0.03 n.m. and r2
Pionic Fluctuations of constituent quarks and the neutron charge radius
"... Pion loop fluctuations of the constituent u and d quarks are shown to contribute +0.006 ÷ 0.014 fm 2 to the intrinsic charge radius of the neutron, under the assumption that the pionquark coupling constant has its conventional value, with a cutoff scale ranging from 800 MeV to 1 GeV. The range of ..."
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Cited by 1 (0 self)
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Pion loop fluctuations of the constituent u and d quarks are shown to contribute +0.006 ÷ 0.014 fm 2 to the intrinsic charge radius of the neutron, under the assumption that the pionquark coupling constant has its conventional value, with a cutoff scale ranging from 800 MeV to 1 GeV. The range
THE SELFFORCE OF A CHARGED PARTICLE IN CLASSICAL ELECTRODYNAMICS WITH A CUTOFF
, 1998
"... We discuss, in the context of classical electrodynamics with a Lorentz invariant cutoff at short distances, the selfforce acting on a point charged particle. It follows that the electromagnetic mass of the point charge occurs in the equation of motion in a form consistent with special relativity. W ..."
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. We find that the exact equation of motion does not exhibit runaway solutions or noncausal behavior, when the cutoff is larger than half of the classical radius of the electron. The calculation of the selfforce acting on a charged particle is a long outstanding problem in electrodynamics since
Results 1  10
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254