sabato 13 novembre 2010

Lebesgue integral, Chern-Simons theory, Yang-Mills theory and string theory

On the Lebesgue integral and the Lebesgue measure: mathematical applications in some sectors of Chern-Simons theory and Yang-Mills gauge theory and mathematical connections with some sectors of String Theory and Number Theory
Abstract
In this paper, in the Section 1, we have described some equations and theorems concerning the Lebesgue integral and the Lebesgue measure. In the Section 2, we have described the possible mathematical applications, of Lebesgue integration, in some equations concerning various sectors of Chern-Simons theory and Yang-Mills gauge theory, precisely the two dimensional quantum Yang-Mills theory. In conclusion, in the Section 3, we have described also the possible mathematical connections with some sectors of String Theory and Number Theory, principally with some equations concerning the Ramanujan’s modular equations that are related to the physical vibrations of the bosonic strings and of the superstrings, some Ramanujan’s identities concerning π and the zeta strings.
Come si evince dal titolo e dall'Abstract, è questo un articolo che "connette" integrali di Lebesgue, alcuni aspetti matematici della teoria di Chern-Simons e quella di Yang-Mills a loro volta imparentate strettamente con le stringhe.
Per chi fosse interessato allo studio della versione completa in Inglese, può cliccare sul seguente link:

http://eprints.bice.rm.cnr.it/3068/1/NarLeb1.pdf


Michele Nardelli

Nessun commento:

Posta un commento