Journal Article10.1016/0370-2693(88)91569-9
On the p-adic five-point function
Enzo Marinari,Giorgio Parisi +1 more
111
TL;DR: The Koba-Nielsen amplitude five-point dual function is computed integrating over the p-adic field as discussed by the authors, and the infinite product of all the padic functions and the usual five point functions is not a constant.
read more
About: This article is published in Physics Letters B. The article was published on 24 Mar 1988. The article focuses on the topics: Infinite product & Constant (mathematics).
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
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.
p‐adic quantum mechanics with p‐adic valued functions
TL;DR: In this paper, an extension of the formalism of quantum mechanics to the case where the canonical variables and functions are valued in a field of padic numbers is considered, and a new padic integral calculus is used for the realization of the Gauss representation in padic quantum mechanics.
136
On p-adic Gibbs measures of the countable state Potts model on the Cayley tree
TL;DR: In this article, a construction of p-adic Gibbs measures which depend on weights λ is given, and an investigation of such measures is reduced to the examination of an infinite-dimensional recursion equation.
66
On Dynamical Systems and Phase Transitions for q + 1-state p-adic Potts Model on the Cayley Tree
TL;DR: In this article, a new kind of p-adic measures for q + 1-state Potts model, called padic quasi Gibbs measure, were derived with respect to boundary conditions.
62
Strict ergodicity of affine p-adic dynamical systems on Zp
TL;DR: In this paper, it was shown that the dynamical system (Z p, T α, β ) is minimal if and only if α ∈ 1 + p r p Z p and β is a unit, and when it is not minimal, it is strictly ergodic and topologically conjugate with an analytic and isometric conjugacy.
56
References
•Book
Fourier Analysis on Local Fields.
M. H. Taibleson
- 19 Apr 2016
TL;DR: This book presents a development of the basic facts about harmonic analysis on local fields and the "n"-dimensional vector spaces over these fields and focuses almost exclusively on the analogy between the local field and Euclidean cases, with respect to the form of statements, the manner of proof, and the variety of applications.
611
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
Related Papers (5)
Peter G. O. Freund,Edward Witten +1 more
[...]
Neal Koblitz
- 01 Jan 1977
Vasilii S Vladimirov,Igor Volovich,E. I. Zelenov +2 more
- 01 Apr 1994