论文标题
从$ p $ - adic到Zeta Strings
From $p$-Adic to Zeta Strings
论文作者
论文摘要
本文与$ p $ adiC的Zeta字符串的构建有关。除了调查特定质数$ p $的$ p $ - adic字符串外，考虑所有Primes $ p $，研究集体效果也很有趣。这种方法背后的想法是，Zeta弦是一件完整的事情，其中有很多面孔，我们将其视为$ p $ adadic字符串。 Zeta字符串名称具有相关拉格朗日包含的Riemann Zeta函数中的来源。构造的起点Zeta字符串是Lagrangian，用于$ p $ -Adic Open String。从拉格朗日（Lagrangian）获得Zeta String的Lagrangian有两种类型的方法，用于$ p $ -ADIC字符串：加法和乘法方法，与Riemann Zeta函数的定义的两种形式有关。由于方法的差异，人们获得了几个不同的Zeta字符串的Lagrangians。我们简要讨论这些拉格朗日人的某些特性，相关的电位，运动方程，质谱以及与普通字符串的可能联系。这是对发表论文的评论，并具有一些新的观点。
This article is related to construction of zeta strings from $p$-adic ones. In addition to investigation of $p$-adic string for a particular prime number $p$, it is also interesting to study collective effects taking into account all primes $p$. An idea behind this approach is that a zeta string is a whole thing with infinitely many faces which we see as $p$-adic strings. The name zeta string has origin in the Riemann zeta function contained in related Lagrangian. The starting point in construction a zeta string is Lagrangian for a $p$-adic open string. There are two types of approaches to get a Lagrangian for zeta string from Lagrangian for $p$-adic strings: additive and multiplicative approaches, that are related to two forms of the definition of the Riemann zeta function. As a result of differences in approaches, one obtains several different Lagrangians for zeta strings. We briefly discuss some properties of these Lagrangians, related potentials, equations of motion, mass spectrum and possible connection with ordinary strings. This is a review of published papers with some new views.
