8,491 research outputs found

    The heat kernel expansion for the electromagnetic field in a cavity

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    We derive the first six coefficients of the heat kernel expansion for the electromagnetic field in a cavity by relating it to the expansion for the Laplace operator acting on forms. As an application we verify that the electromagnetic Casimir energy is finite.Comment: 12 page

    Surveying the SO(10) Model Landscape: The Left-Right Symmetric Case

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    Grand Unified Theories (GUTs) are a very well motivated extensions of the Standard Model (SM), but the landscape of models and possibilities is overwhelming, and different patterns can lead to rather distinct phenomenologies. In this work we present a way to automatise the model building process, by considering a top to bottom approach that constructs viable and sensible theories from a small and controllable set of inputs at the high scale. By providing a GUT scale symmetry group and the field content, possible symmetry breaking paths are generated and checked for consistency, ensuring anomaly cancellation, SM embedding and gauge coupling unification. We emphasise the usefulness of this approach for the particular case of a non-supersymmetric SO(10) model with an intermediate left-right symmetry and we analyse how low-energy observables such as proton decay and lepton flavour violation might affect the generated model landscape.Comment: 36 pages, 6 figure

    Investigation of the kinetics of crystallization of molten binary and ternary oxide systems Quarterly status report, 1 Mar. - 30 Nov. 1968

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    Glass composition preparation and research on crystallization kinetics of molten binary and ternary oxide systems of glas

    The Resonance Peak in Sr2_2RuO4_4: Signature of Spin Triplet Pairing

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    We study the dynamical spin susceptibility, χ(q,ω)\chi({\bf q}, \omega), in the normal and superconducting state of Sr2_2RuO4_4. In the normal state, we find a peak in the vicinity of Qi≃(0.72π,0.72π){\bf Q}_i\simeq (0.72\pi,0.72\pi) in agreement with recent inelastic neutron scattering (INS) experiments. We predict that for spin triplet pairing in the superconducting state a {\it resonance peak} appears in the out-of-plane component of χ\chi, but is absent in the in-plane component. In contrast, no resonance peak is expected for spin singlet pairing.Comment: 4 pages, 4 figures, final versio

    Mission analysis data for inclined geosynchronous orbits, part 1

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    Data needed for preliminary design of inclined geosynchronous missions are provided. The inertial and Earth fixed coordinate systems are described, as well as orbit parameters and elements. The complete family of geosynchronous orbits is discussed. It is shown that circular inclined geosynchronous orbits comprise only one set in this family. The major orbit perturbation and their separate effects on the geosynchronous orbit are discussed. Detailed information on the orbit perturbation of inclined circular geosynchronous orbits is given, with emphasis on time history data of certain orbital elements. Orbit maintenance delta velocity (V) requirements to counteract the major orbit perturbations are determined in order to provide order of magnitude estimates and to show the effects of orbit inclination on delta V. Some of the considerations in mission design for a multisatellite system, such as a halo orbit constellation, are discussed
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