Quantization of the Riemann Zeta-Function and Cosmology

Simple item page
dc.creatorAref'eva, I. Ya.
dc.creatorVolovich, I. V.
dc.date2007-01-30
dc.date2007-02-05
dc.date.accessioned2026-07-07T10:38:09Z
dc.date.available2026-07-07T10:38:09Z
dc.descriptionQuantization of the Riemann zeta-function is proposed. We treat the Riemann zeta-function as a symbol of a pseudodifferential operator and study the corresponding classical and quantum field theories. This approach is motivated by the theory of p-adic strings and by recent works on stringy cosmological models. We show that the Lagrangian for the zeta-function field is equivalent to the sum of the Klein-Gordon Lagrangians with masses defined by the zeros of the Riemann zeta-function. Quantization of the mathematics of Fermat-Wiles and the Langlands program is indicated. The Beilinson conjectures on the values of L-functions of motives are interpreted as dealing with the cosmological constant problem. Possible cosmological applications of the zeta-function field theory are discussed.
dc.description14 pages, corrected typos, references and comments added
dc.identifierhttps://arxiv.org/abs/hep-th/0701284
dc.identifierhttp://arxiv.org/abs/hep-th/0701284
dc.identifierInt.J.Geom.Meth.Mod.Phys.4:881-895,2007
dc.identifierdoi:10.1142/S021988780700234X
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/180619
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.subjectAlgebraic Geometry
dc.subjectQuantum Physics
dc.titleQuantization of the Riemann Zeta-Function and Cosmology
dc.typetext

Files

Collections

arXiv