2,995 research outputs found

    The Columbia River Dispute

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    String Theory and Water Waves

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    We uncover a remarkable role that an infinite hierarchy of non-linear differential equations plays in organizing and connecting certain {hat c}<1 string theories non-perturbatively. We are able to embed the type 0A and 0B (A,A) minimal string theories into this single framework. The string theories arise as special limits of a rich system of equations underpinned by an integrable system known as the dispersive water wave hierarchy. We observe that there are several other string-like limits of the system, and conjecture that some of them are type IIA and IIB (A,D) minimal string backgrounds. We explain how these and several string-like special points arise and are connected. In some cases, the framework endows the theories with a non-perturbative definition for the first time. Notably, we discover that the Painleve IV equation plays a key role in organizing the string theory physics, joining its siblings, Painleve I and II, whose roles have previously been identified in this minimal string context.Comment: 49 pages, 4 figure

    Research and education in management of large-scale technical programs

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    A research effort is reported which was conducted by NASA in conjunction with Drexel University, and which was aimed at an improved understanding of large scale systems technology and management

    On the α\alpha-decay of deformed actinide nuclei

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    α\alpha-decay through a deformed potential barrier produces significant mixing of angular momenta when mapped from the nuclear interior to the outside. Using experimental branching ratios and either semi-classical or coupled-channels transmission matrices, we have found that there is a set of internal amplitudes which are essentially constant for all even--even actinide nuclei. These same amplitudes also give good results for the known anisotropic α\alpha-particle emission of the favored decays of odd nuclei in the same mass region. PACS numbers: 23.60.+e, 24.10.Eq, 27.90.+bComment: 5 pages, latex (revtex style), 2 embedded postscript figures uuencoded gz-compressed .tar file To appear in Physical Review Letter

    Gauge Coupling Instability and Dynamical Mass Generation in N=1 Supersymmetric QED(3)

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    Using superfield Dyson-Schwinger equations, we compute the infrared dynamics of the semi-amputated full vertex, corresponding to the effective running gauge coupling, in N-flavour {\mathcal N}=1 supersymmetric QED(3). It is shown that the presence of a supersymmetry-preserving mass for the matter multiplet stabilizes the infrared gauge coupling against oscillations present in the massless case, and we therefore infer that the massive vacuum is thus selected at the level of the (quantum) effective action. We further demonstrate that such a mass can indeed be generated dynamically in a self-consistent way by appealing to the superfield Dyson-Schwinger gap equation for the full matter propagator.Comment: 14 pages ReVTeX; four axodraw figures incorporate

    NMR relaxation rates for the spin-1/2 Heisenberg chain

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    The spin-lattice relaxation rate 1/T11/T_1 and the spin echo decay rate 1/T2G1/T_{2G} for the spin-121\over 2 antiferromagnetic Heisenberg chain are calculated using quantum Monte Carlo and maximum entropy analytic continuation. The results are compared with recent analytical calculations by Sachdev. If the nuclear hyperfine form factor AqA_q is strongly peaked around q=πq=\pi the predicted low-temperature behavior [1/T1ln1/2(1/T)1/T_1 \sim \ln{^{1/2}(1/T)}, 1/T2Gln1/2(1/T)/T1/T_{2G} \sim \ln{^{1/2}(1/T)}/\sqrt{T}] extends up to temperatures as high as T/J0.5T/J \approx 0.5. If AqA_q has significant weight for q0q \approx 0 there are large contributions from diffusive long-wavelength processes not taken into account in the theory, and very low temperatures are needed in order to observe the asymptotic T0T \to 0 forms.Comment: 9 pages, Revtex 3.0, 5 uuencoded ps figures To appear in Phys. Rev. B, Rapid Com

    Spin dynamics of SrCu2_2O3_3 and the Heisenberg ladder

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    The S=1/2S=1/2 Heisenberg antiferromagnet in the ladder geometry is studied as a model for the spin degrees of freedom of SrCu2_2O3_3. The susceptibility and the spin echo decay rate are calculated using a quantum Monte Carlo technique, and the spin-lattice relaxation rate is obtained by maximum entropy analytic continuation of imaginary time correlation functions. All calculated quantities are in reasonable agreement with experimental results for SrCu2_2O3_3 if the exchange coupling J850J \approx 850K, i.e. significantly smaller than in high-Tc_c cuprates.Comment: 11 pages (Revtex) + 3 uuencoded ps files. To appear in Phys. Rev. B, Rapid Com

    Spin Gaps and Bilayer Coupling in YBa2_2Cu3_3O7δ_{7-\delta} and YBa2_2Cu4_4O8_8

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    We investigate the relevance to the physics of underdoped YBa2_2Cu3_3O6+x_{\rm 6+x} and YBa2_2Cu4_4O8_8 of the quantum critical point which occurs in a model of two antiferromagnetically coupled planes of antiferromagnetically correlated spins. We use a Schwinger boson mean field theory and a scaling analysis to obtain the phase diagram of the model and the temperature and frequency dependence of various susceptibilities and relaxation rates. We distinguish between a low ω,T\omega ,T coupled-planes regime in which the optic spin excitations are frozen out and a high ω,T\omega ,T decoupled-planes regime in which the two planes fluctuate independently. In the coupled-planes regime the yttrium nuclear relaxation rate at low temperatures is larger relative to the copper and oxygen rates than would be naively expected in a model of uncorrelated planes. Available data suggest that in YBa2_2Cu4_4O8_8 the crossover from the coupled to the decoupled planes regime occurs at T700KT 700K or T200KT \sim 200K. The predicted correlation length is of order 6 lattice constants at T=200KT=200K. Experimental data related to the antiferromagnetic susceptibility of YBa2_2Cu4_4O8_8 may be made consistent with the theory, but available data for the uniform susceptibility are inconsistent with the theory.Comment: RevTex 3.
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