The so-called renormalization group method applied to the specific prime number logarithmic decrease

TL;DR

This paper applies the Renormalization Group method to analyze the decreasing density of prime numbers, providing insights into the logarithmic decline of primes within natural numbers.

Contribution

It introduces a novel application of RG analysis to prime number distribution, offering a new perspective on their density decay.

Findings

RG analysis explains the prime density decrease as a power of the inverse logarithm

Provides a theoretical framework connecting RG methods with prime distribution

Enhances understanding of prime number density behavior

Abstract

A so-called Renormalization Group (RG) analysis is performed in order to shed some light on why the density of prime numbers in $\Bbb N^*$ decreases like the single power of the inverse neperian logarithm.