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Asymptotology

About: Asymptotology is a research topic. Over the lifetime, 1319 publications have been published within this topic receiving 35831 citations.


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TL;DR: In this article, an asymptotic solution for two-, three-and multi-point correlators of local gauge-invariant operators, in a lower-spin sector of massless large-$N$ $QCD, in terms of glueball and meson propagators, was found.
Abstract: We find an asymptotic solution for two-, three- and multi-point correlators of local gauge-invariant operators, in a lower-spin sector of massless large-$N$ $QCD$, in terms of glueball and meson propagators, in such a way that the solution is asymptotic in the ultraviolet to renormalization-group improved perturbation theory, by means of a new purely field-theoretical technique that we call the asymptotically-free bootstrap, based on a recently-proved asymptotic structure theorem for two-point correlators. The asymptotically-free bootstrap provides as well asymptotic $S$-matrix amplitudes in terms of glueball and meson propagators. Remarkably, the asymptotic $S$-matrix depends only on the unknown particle spectrum, but not on the anomalous dimensions, as a consequence of the $LSZ$ reduction formulae. Very many physics consequences follow, both practically and theoretically. In fact, the asymptotic solution sets the strongest constraints on any actual solution of large-$N$ $QCD$, and in particular on any string solution.

2 citations

Journal ArticleDOI
TL;DR: In this article, the asymptotic expansions for the distribution functions of Pickands-type estimators in extreme statistics are obtained, and several useful results on regular variation and intermediate order statistics are presented.
Abstract: The asymptotic expansions for the distribution functions of Pickands-type estimators in extreme statistics are obtained. In addition, several useful results on regular variation and intermediate order statistics are presented.

2 citations

Journal ArticleDOI
TL;DR: In this article, the asymptotic behavior of symmetric hyperbolic systems of first order with constant coefficients was studied from the point of view of L 2-theory.
Abstract: This paper studies from the view point of L 2-theory the asymptotic behavior for £-»oo of solutions (with finite energy) of symmetric hyperbolic systems of first order with constant coefficients. For each solution of such systems the corresponding asymptotic wave function will be constructed from the initial data. The asymptotic energy distributions of the solutions will be investigated making use of the asymptotic wave functions. Wilcox [8] studied these problems for solutions of the wave equation

2 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20231
20222
20181
201725
201626
201526