From $p$-adic to Archimedean Physics: Renormalization Group Flow and Berkovich Spaces

Autor:	Huang, An, Mao, Dan, Stoica, Bogdan
Rok vydání:	2020
Předmět:	High Energy Physics - Theory Mathematical Physics Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	We introduce the $p$-adic particle-in-a-box as a free particle with periodic boundary conditions in the $p$-adic spatial domain. We compute its energy spectrum, and show that the spectrum of the Archimedean particle-in-a-box can be recovered from the $p$-adic spectrum via an Euler product formula. This product formula arises from a flow equation in Berkovich space, which we interpret as a space of theories connected by a kind of renormalization group flow. We propose that Berkovich spaces can be used to relate $p$-adic and Archimedean quantities generally. Comment: 27 pages, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2001.01725 Zobrazit plný text záznamu View this record from Arxiv