2,384,783 research outputs found

    Large Nc means Nc=3

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    We show that the nonperturbative solution of the SU(2) linear sigma model field theory requires color number Nc=3. Also, we show that the three-point and four-point functions bootstrap (or nonperturbatively ``shrink'') in the chiral limit to the tree amplitudes. Independently, we show that a chiral phase transition for Nf=2 requires Tc=180 MeV, consistent with the computer lattice value (173 +/- 8 MeV).Comment: 9 pages, LaTeX. Invited talk given at the Large Nc Workshop, ASU, January 200

    NC Calabi-Yau Manifolds in Toric Varieties with NC Torus fibration

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    Using the algebraic geometry method of Berenstein and Leigh (BL), hep-th/0009209 and hep-th/0105229), and considering singular toric varieties Vd+1{\cal V}_{d+1} with NC irrational torus fibration, we construct NC extensions Md(nc){\cal M}_{d}^{(nc)} of complex d dimension Calabi-Yau (CY) manifolds embedded in Vd+1(nc){\cal V}_{d+1}^{(nc)}. We give realizations of the NC C∗r\mathbf{C}^{\ast r} toric group, derive the constraint eqs for NC Calabi-Yau (NCCY) manifolds Mdnc{\cal M}^{nc}_d embedded in Vd+1nc{\cal V}_{d+1}^{nc} and work out solutions for their generators. We study fractional DD branes at singularities and show that, due to the complete reducibility property of C∗r\mathbf{C}^{\ast r} group representations, there is an infinite number of non compact fractional branes at fixed points of the NC toric group.Comment: 12 pages, LaTex, no figur

    Regenerative and Adaptive schemes Based on Network Coding for Wireless Relay Network

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    Recent technological advances in wireless communications offer new opportunities and challenges for relay network.To enhance system performance, Demodulate-Network Coding (Dm-NC) scheme has been examined at relay node; it works directly to De-map the received signals and after that forward the mixture to the destination. Simulation analysis has been proven that the performance of Dm-NC has superiority over analog-NC. In addition, the Quantize-Decode-NC scheme (QDF-NC) has been introduced. The presented simulation results clearly provide that the QDF-NC perform better than analog-NC. The toggle between analogNC and QDF-NC is simulated in order to investigate delay and power consumption reduction at relay node.Comment: 11 pages, 8 figures, International Journal of Computer Networks & Communications (IJCNC), Vol.4, No.3, May 201

    Toric Varieties with NC Toric Actions: NC Type IIA Geometry

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    Extending the usual C∗r\mathbf{C}^{\ast r} actions of toric manifolds by allowing asymmetries between the various C∗\mathbf{C}^{\ast} factors, we build a class of non commutative (NC) toric varieties V\mathcal{V}%_{d+1}^{(nc)}. We construct NC complex dd dimension Calabi-Yau manifolds embedded in Vd+1(nc)\mathcal{V}_{d+1}^{(nc)} by using the algebraic geometry method. Realizations of NC C∗r\mathbf{C}^{\ast r} toric group are given in presence and absence of quantum symmetries and for both cases of discrete or continuous spectrums. We also derive the constraint eqs for NC Calabi-Yau backgrounds Mdnc\mathcal{M}_{d}^{nc} embedded in Vd+1nc\mathcal{V}_{d+1}^{nc} and work out their solutions. The latters depend on the Calabi-Yau condition ∑iqia=0% \sum_{i}q_{i}^{a}=0, qiaq_{i}^{a} being the charges of C∗r\mathbf{C}^{\ast r}% ; but also on the toric data qia,ÎœiA;pIα,ÎœiA∗{q_{i}^{a},\nu_{i}^{A};p_{I}^{\alpha},\nu _{iA}^{\ast}} of the polygons associated to V\mathcal{V}%_{d+1}. Moreover, we study fractional DD branes at singularities and show that, due to the complete reducibility property of C∗r\mathbf{C}^{\ast r} group representations, there is an infinite number of fractional DD branes. We also give the generalized Berenstein and Leigh quiver diagrams for discrete and continuous C∗r\mathbf{C}^{\ast r} representation spectrums. An illustrating example is presented.Comment: 25 pages, no figure

    Characterisation of the first authenticated organomercury hydroxide, 4-Me₂NC₆H₄HgOH

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    4-Me₂NC₆H₄HgOH was prepared from 4-Me₂NC₆H₄HgOAc. Full characterisation showed that it crystallises as discrete molecules, the first example of a true organomercury hydroxide in the solid state. The structures of 4-Me₂NC₆H₄HgOAc and (4-Me₂NC₆H₄)₂Hg are also discussed. 4-Me₂NC₆H₄HgOH has been characterised spectroscopically and crystallographically as a true organomercury hydroxide

    Development of STEP-NC based machining system for machining process information flow

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    To realize the STEP-NC based machining system, it is necessary to perform machining feature extraction, generating machine-specific information, and creating a relationship between STEP-NC entities. A process planning system of a STEP-NC information flow that starts with constructing a machining feature from a CAD model will be developed. In this paper, a further in depth study of the implementation and adaptation of STEP-NC in manufacturing is studied. This study will help to understand how the data from CAD/CAM can be converted into STEP-NC codes and the machining process will be based on the STEP-NC codes generated
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