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Zeta Nonlocal Scalar Fields Branko Dragovich
| Content Provider | Semantic Scholar |
|---|---|
| Author | Dragovich, Branko |
| Copyright Year | 2008 |
| Abstract | We consider some nonlocal and nonpolynomial scalar field models originated from p-adic string theory. Infinite number of spacetime derivatives is determined by the operator valued Riemann zeta function through d’Alembertian in its argument. Construction of the corresponding Lagrangians L starts with the exact Lagrangian Lp for effective field of p-adic tachyon string, which is generalized replacing p by arbitrary natural number n and then taken a sum of Ln over all n. The corresponding new objects we call zeta scalar strings. Some basic classical field properties of these fields are obtained and presented in this paper. In particular, some solutions of the equations of motion and their tachyon spectra are studied. Field theory with Riemann zeta function dynamics is interesting in its own right as well. Dedicated to Vasiliy Sergeevich Vladimirov on the occasion of his 85th birthday |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/0804.4114v1.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Aharonov–Bohm effect Natural Number Nonlocal Lagrangian Physical object Scalar processor Solutions magnussoft ZETA |
| Content Type | Text |
| Resource Type | Article |