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Constructive use of holographic projectionsSchroer, Bert-2008-
Do confinement and darkness have the same conceptual roots?Schroer, Bert-2008Indecomposable positive energy quantum matter comes in 3 forms: one massive and two massless families of which about the so called "infinite spin" family was little known up to recently. Using novel methods which are particularly suited for problems of localization, it was shown that this quantum matter of the third kind cannot be generated by pointlke localized fields but rather needs semiinfinite stringlike generators. Arguing that the field algebras generated by these new objects do not possess any compactly localizable subalgebras, we are led to a situation of purely gravitating matter which cannot be registered in any particle counter i.e. to observational darkness and possibly also inertness. \ A milder form of darkness which only blackouts certain string localized objects but leaves a large observable subalgebra generated by pointlike fields occurs with interacting zero mass finite helicity matter and it is the main aim of this note to emphasize these analogies.
Quantization of the Relativistic Fluid in Physical Phase Space on Kähler ManifoldHolender, L; Santos, M. A; Vancea, lon Vasile-2008We discuss the quantization of a class of relativistic fluid models defined in terms of one real and two complex conjugate potentials with values on a Kähler manifold, and parametrized by the Kähler potential $K(z, \overline{z})$ and a real number $\lambda$. In the hamiltonian formulation, the canonical conjugate momenta of the potentials are subjected to second class constraints which allow us to apply the symplectic projector method in order to find the physical degrees of freedom and the physical hamiltonian. We construct the quantum theory for that class of models by employing the canonical quantization methods. We also show that a semiclassical theory in which the Kähler and the complex potential are not quantized has a highly degenerate vacuum. Also, we define and compute the quantum topological number (quantum linking number) operator which has non-vanishing contributions from the Kähler and complex potentials only. Finally, we show that the vacuum and the states formed by tensoring the number operators eigenstates have zero linking number and show that linear combinations of the tensored number operators eigenstates which have the form of entangled states have non-zero linking number.
Critical String wave equations and the QCD(U(Nc)) string (some comments)Botelho, Luiz C. L.-2009We present a simple proof that self-avoiding fermionic strings solutions solve formally (in a Quantum Mechanical Framework) the $QCD(U(N_c))$ Loop Wave Equation written in terms of random loops.
Decomposition and oxidation of the N-extended supersymmetric quantum mechanics multipletsKuznetsova, Zhanna; Toppan, FrancescoCentro Brasileiro de Pesquisas Físicas (CBPF)2007We furnish an algebraic understanding of the inequivalent connectivities (computed up to N -
Cliffordized NAC supersymmetry and PT-symmetric hamiltoniansToppan, Francesco-2007-
Results 371-380 of 409 (Search time: 0.006 seconds).