Coleman-Weinberg potential in p-adic field theory

被引:0
作者
Ageev, Dmitry S. [1 ]
Bagrov, Andrey A. [2 ]
Iliasov, Askar A. [3 ]
机构
[1] Russian Acad Sci, Dept Math Methods Quantum Technol, Steklov Math Inst, Gubkin Str 8, Moscow 119991, Russia
[2] Uppsala Univ, Dept Phys & Astron, Box 516, S-75120 Uppsala, Sweden
[3] Radboud Univ Nijmegen, Inst Mol & Mat, Heyendaalseweg 135, NL-6525 AJ Nijmegen, Netherlands
来源
EUROPEAN PHYSICAL JOURNAL C | 2020年 / 80卷 / 09期
关键词
RENORMALIZATION; PARTICLES; MODELS;
D O I
10.1140/epjc/s10052-020-08442-5
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
In this paper, we study lambda phi(4) scalar field theory defined on the unramified extension of p-adic numbers Q(pn). 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 -> infinity. We show that the p -> 1 limit allows to reconstruct the canonical result for real field theory from the p-adic effective potential and provide an explanation of this fact. On the other hand, in the p -> infinity limit, the theory exhibits very peculiar behavior with emerging logarithmic terms in the effective potential, which has no analogue in real theories.
引用
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页数:10
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