Download PDF by Edward Frenkel, Joan Andreano Weyland: Amor y matemáticas: El corazón de la realidad oculta

By Edward Frenkel, Joan Andreano Weyland

ISBN-10: 8434422360

ISBN-13: 9788434422360

¿Qué sucedería si en clase de arte te enseñaran a pintar una verja? ¿O que jamás te mostraran una pintura ni te hablaran de l. a. existencia de Van Gogh o Picasso? Pues así es como nos han enseñado las matemáticas. En este fascinante libro, uno de los matemáticos más brillantes del momento nos descubre el lado de las matemáticas que jamás hemos visto, barnizadas con toda l. a. belleza y elegancia de una pieza de arte. Frenkel nos sumerge en una disciplina presente en el corazón de toda materia, que une culturas, tiempo y espacio. Y lo hace a través de dos historias, l. a. de los angeles evolución y los grandes hallazgos de las matemáticas, y, de forma paralela, l. a. de su biografía own, que le llevó de ser rechazado en los angeles facultad de matemáticas de Moscú a convertirse en uno de los matemáticos más importantes del siglo xxi. Pero el libro no es sólo una apasionante historia de superación own teñida de divulgación científica, sino que nos introduce en una nueva forma de pensamiento capaz de enriquecer nuestra vida own y ayudarnos a entender mejor el mundo y el lugar que ocupamos en él. Es una invitación a descubrir los angeles magia del universo escondido de las matemáticas.

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Extra info for Amor y matemáticas: El corazón de la realidad oculta

Example text

Independent of this, however, eq. (46) provides us with a precise value of the gluon thermalization time in the high-temperature, classical limit, defined as the characteristic entropy growth time near equilibrium: T. 85/lT. 4 fm/ c, as shown in Figure 17. This value is comfortably short on the time-scale of relativistic heavy ion collisions, where the high-density phase is predicted to last for several fm/c. 32 Inverse KS entropy for SU(3) '" 0 3 I- 1000 200 Figure 17. Thermalization time of gluonic matter close to thermal equilibrium, as obtained from the Lyapunov exponent of thermal SU(3) lattice gauge theory68.

The best published results, by the Columbia group34, for a 163 x 4 lattice indicate a surprisingly strong dependence of the phase diagram on the magnitude of the strange quark mass. For the physical mass ms ~ 150 MeV there seems to be no discontinuity, but only a rapid change in the energy density over a small temperature range (about 10 MeV). However, it is probably premature to consider this as the final word. Intermezzo: Astrophysical Implications We will return to the results of lattice gauge theory in a moment, but let us pause briefly to study some astrophysical implications of a hadron-quark-gluon phase transition.

Of 7r7r, I< I<, or N N correlations 104 , which yield information on the reaction geometry. By studying the two-particle correlation function in different directions of phase space, it is possible to obtain measurements of the transverse and longitudinal size, of the lifetime, and of flow patterns of the hadronic fireball at the moment where it breaks up into separate hadrons. The transverse sizes found in heavy ion collisions 105 , as well as in N - N collisions at high multiplicitylOo are larger than the radius of the incident particle, clearly exposing the fact that produced hadrons rescatter before they are finally emitted.

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Amor y matemáticas: El corazón de la realidad oculta by Edward Frenkel, Joan Andreano Weyland

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