A massless quantum field theory over the p-adics
Abdelmalek Abdesselam
TL;DR
This paper discusses a theoretical framework for a massless quantum field theory formulated over p-adic number fields, exploring its properties and implications within the context of renormalization group analysis.
Contribution
It introduces a novel p-adic quantum field theory model, extending traditional real-number frameworks into non-Archimedean settings.
Findings
Establishes foundational properties of p-adic quantum fields.
Analyzes renormalization group flow in p-adic context.
Suggests potential applications in mathematical physics.
Abstract
This is an extended abstract for a talk given at the Oberwolfach workshop "The Renormalization Group", March 13th - March 19th, 2011.
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Taxonomy
Topicsadvanced mathematical theories · Algebraic Geometry and Number Theory · Advanced Algebra and Geometry