Authors: | Dragović, Branko | Title: | Towards effective Lagrangians for adelic strings | Journal: | Fortschritte der Physik | Volume: | 57 | Issue: | 5-7 | First page: | 546 | Last page: | 551 | Issue Date: | 1-Jun-2009 | ISSN: | 00158208 | DOI: | 10.1002/prop.200900030 | URL: | https://api.elsevier.com/content/abstract/scopus_id/67649362144 | Abstract: | p-Adic strings are important objects of string theory, as well as of p-adic mathematical physics and nonlocal cosmology. By a concept of adelic string one can unify and simultaneously study various aspects of ordinary and p-adic strings. By this way, one can consider adelic strings as a very useful instrument in the further investigation of modern string theory. It is remarkable that for some scalar p-adic strings exist effective Lagrangians, which are based on real instead of p-adic numbers and describe not only four-point scattering amplitudes but also all higher ones at the tree level. In this work, starting from p-adic Lagrangians, we consider some approaches to construction of effective field Lagrangians for p-adic sector of adelic strings. It yields Lagrangians for nonlinear and nonlocal scalar field theory, where spacetime nonlocality is determined by an infinite number of derivatives contained in the operator-valued Riemann zeta function. Owing to the Riemann zeta function in the dynamics of these scalar field theories, obtained Lagrangians are also interesting in themselves. © 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim. |
Keywords: | Adelic strings | Effective Lagrangians | Nonlocal field theory | p-adic strings | Zeta function |
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