Coleman-Weinberg potential in $p$-adic field theory
Dmitry S. Ageev,
Andrey A. Bagrov,
Askar A. Iliasov
Abstract:In this paper, we study λφ 4 scalar field theory defined on the unramified extension of p-adic numbers Q p n . For different "space-time" dimensions n, we compute one-loop quantum corrections to the effective potential. Surprisingly, despite the unusual properties of non-Archimedean geometry, the Coleman-Weinberg potential of p-adic field theory has structure very similar to that of its real cousin. We also study two formal limits of the effective potential, p → 1 and p → ∞. We show that the p → 1 limit allows… Show more
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