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| Preview | Title | Author(s) | ???itemlist.dc.contributor.author1??? | Issue Date | ???itemlist.dc.description.resumo??? |
|---|---|---|---|---|---|
| A Comment about the existence of a weak solution for a nonlinear Wave Damped Propagation | Botelho, Luiz C. L. | - | 2008 | We give a proof for the existence of weak solutions on the initial-value problem of a non-linear wave damped propagation. | |
| Triviality - quantum decoherence of Fermionic quantum chromodynamics SU (Nc) in the presence of an external strong U([infinito]) flavored constant noise field | Botelho, Luiz C. L. | Centro Brasileiro de Pesquisas Físicas (CBPF) | 2008 | We analyze the triviality-quantum decoherence of Euclidean quantum chromodynamics in the gauge invariant quark current sector in the presence of an external flavor constant charged white noise reservoir. | |
| Particle physics in the 60 and 70 and the legacy of contributions by J. A. Swieca | Schroer, Bert | - | 2007 | After revisiting some high points of particle physics and QFT of the two decades from 1960 to 1980, I comment on the work by Jorge Andr'e Swieca. I explain how it fits into the development of QFT during these two decades and draw attention to its legacy in the ongoing particle physics research. | |
| One-dimensional sigma-models with N = 5, 6, 7, 8 off-shell supersymmetries | Gonzales, M. (Marcelo); Rojas, M. (Moises); Toppan, Francesco | - | 2008 | We computed the actions for the $1D$ $N=5$ $\sigma$-models with respect to the two inequivalent $(2,8,6)$ multiplets. $4$ supersymmetry generators are manifest, while the constraint originated by imposing the $5$-th supersymmetry automatically induces a full $N=8$ off-shell invariance. The resulting action coincides in the two cases and corresponds to a conformally flat $2D$ target satisfying a special geometry of rigid type. \par To obtain these results we developed a computational method (for {\em Maple 11}) which does not require the notion of superfields and is instead based on the nowadays available list of the inequivalent representations of the $1D$ $N$-extended supersymmetry. Its application to systematically analyze the $\sigma$-models off-shell invariant actions for the remaining $N=5,6,7,8$ $(k,8,8-k)$ multiplets, as well as for the $N>8$ representations, only requires more cumbersome computations. | |
| Stochastic quantization of topological field theory: generalized langevin equation with memory kernel | Menezes, G.(Gabriel); Svaiter, Nami Fux | - | 2006 | We use the method of stochastic quantization in a topological field theory defined in an Euclidean space, assuming a Langevin equation with a memory kernel. We show that our procedure for the Abelian Chern-Simons theory converges regardless of the nature of the Chern-Simons coefficient. | |
| Factorization of large numbers and the suggestion of an algorithm | Oliveira, Fabiano Sutter de | - | 2006 | In this paper, we intend to present a new algorithm to factorize large numbers. According to the algorithm proposed here, we prove that there is a common factor between p and q. With this procedure, the time of factorization considerably decreases. The algorithm is based on a graphic representation and, when the corresponding graph is drawn, coordinate pairs will originate two straight lines that intercept one another. These coordinate pairs are formed by prime numbers in the x-axis, and factors in the y-axis, including the factor in common. | |
| On the Banach-Stone theorem and the manifold topological classification | Botelho, Luiz C. L. | - | 2009 | We present a simple set-theoretic proof of the Banach-Stone Theorem. We thus apply this Topological Classification theorem to the still-unsolved problem of topological classification of Euclidean Manifolds through two conjectures and additionaly we give a straightforward proof of the famous Brower theorem for manifolds topologically classified by their Euclidean dimensions. \noindent We start our comment announcing the:\noindent{\bf Banach-Stone Theorem} ([1]). Let $X$ and $Y$ be compact Hausdorff spaces, such that the associated function algebras of continuous functions $C(X,R)$ and $C(Y,R)$ separate points in $X$ and $Y$ respectively. We have thus \noindent a)\quad $X$ and $Y$ are homeomorphic $\Leftrightarrow$ \noindent b)\quad $C(X,R)$ and $C(Y,R)$ are isomorphic. | |
| Constructive use of holographic projections | Schroer, Bert | - | 2008 | - | |
| Do confinement and darkness have the same conceptual roots? | Schroer, Bert | - | 2008 | Indecomposable 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 Manifold | Holender, L; Santos, M. A; Vancea, lon Vasile | - | 2008 | We 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. |
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