Journal Article10.1016/0370-2693(87)91357-8
Adelic string amplitudes
Peter G. O. Freund,Edward Witten +1 more
419
TL;DR: In this article, the Veneziano and Virasoro-Shapiro four-particle scattering amplitudes can be factored in terms of an infinite product of non-archimedean string amplitudes.
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About: This article is published in Physics Letters B. The article was published on 17 Dec 1987. The article focuses on the topics: String field theory & Non-critical string theory.
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Citations
On Exact Tachyon Potential in Open String Field Theory
TL;DR: In this article, the authors revisited the tachyon lagrangian in the open string field theory using background independent approach of Witten from 1992 and claimed that the tree level lagrangians (up to second order in derivatives and modulo some class of field redefinitions) is given by L = e−T(∂T)2+(1+T)e−T. Upon obvious change of variables this leads to the potential energy −2log 2/e with canonical kinetic term.
438
Towards a resolution of the cosmological singularity in non-local higher derivative theories of gravity
TL;DR: In this article, the dynamical properties of the equations of motion for these theories of gravity in the presence of positive and negative cosmological constants and radiation were studied and an algorithm for tracking the super-Hubble perturbations during the bounce was presented.
P-adic quantum mechanics
V. S. Vladimirov,I. V. Volovich +1 more
TL;DR: An extension of the formalism of quantum mechanics to the case where the canonical variables are valued in a field of p-adic numbers is considered in this article, where the free particle and the harmonic oscillator are considered.
On p-adic mathematical physics
TL;DR: A brief review of some selected topics in p-adic mathematical physics can be found in this paper, where a brief introduction to some aspects of p-adic mathematical physics could be found.
299
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Introduction to Elliptic Curves and Modular Forms
Neal Koblitz
- 01 Jan 1984
TL;DR: The theory of elliptic curves and modular forms provides a fruitful meeting ground for such diverse areas as number theory, complex analysis, algebraic geometry, and representation theory as discussed by the authors, and the current state of knowledge of ellipses.
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p-adic Numbers, p-adic Analysis, and Zeta-Functions
Neal Koblitz
- 01 Jan 1977
TL;DR: Padic numbers padic interpolation of the reimann zeta-function padic power series rationality of the zeta function of a set of equations over a finite field (Part contents) as discussed by the authors.
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p-ADIC STRING
TL;DR: In this paper, the p-adic Veneziano amplitude is proposed and the main properties of the padic string theory are discussed, and analogous questions on the Galois field are also discussed.
475
Non-archimedean strings
Peter G. O. Freund,Mark Olson +1 more
TL;DR: In this paper, a full set of factorized, dual, crossing-symmetric tree-level N-point amplitudes is constructed for non-archimedean closed strings.
342
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Basic Number Theory
André Weil
- 01 Jan 1967
TL;DR: In this article, the authors define a classfield theory for algebraic number-fields with respect to simple algebras over A-fields and the Brauer group of a local field.
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