arXiv subjects
Publications and source records attributed to Mircea Pigli.
Gravitational analogues of the nonlinear electrodynamics of Born and of Born and Infeld are introduced and applied to the black hole problem. This work is mainly devoted to the 2-dimensional case in which the relevant lagrangians are nonpolynomial in the scalar curvature.
High energy hadronic total cross-section data are found to agree with the predictions of a QCD-string picture.
We show that a simple account of hadronic high energy total cross-sections and of the observed masses and flavor-gauge-like couplings of the familiar vector mesons is obtained in a hadronic string model suggested by QCD in the limit of a large number of colors. Our picture involves a Minkowski space which in addition to the well established continuous one time and three space dimensions is endowed with an extra discrete space dimension involving a minimal 2-point lattice with spacing of order 10^{-14} cm in one of the two T-dual pictures. New mesonic states with characteristic decay modes are expected in such a picture.
Incorporating the zonal spherical function (zsf) problems on real and $p$-adic hyperbolic planes into a Zakharov-Shabat integrable system setting, we find a wide class of integrable evolutions which respect the number-theoretic properties of the zsf problem. This means that at {\it all} times these real and $p$-adic systems can be unified into an adelic system with an $S$-matrix which involves (Dirichlet, Langlands, Shimura...) L-functions.