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Teoreticheskaya i Matematicheskaya Fizika, 1993, Volume 97, Number 2, Pages 227–237
(Mi tmf1735)
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This article is cited in 2 scientific papers (total in 2 papers)
Hierarchical Dyson model and $p$-adic conformal invariance
É. Yu. Lerner Kazan State University
Abstract:
The condition of conformal invariance of a field of a $p$-adic argument is reformulated in terms of the hierarchical Dyson model. A non-Gaussian scale-invariant random field of ap-adic argument ($\varphi _d^4$ theory with propagator $|x-y|^{-d/2+\varepsilon }$), is rigorously constructed, and its conformal invariance is proved.
Received: 11.11.1992
Citation:
É. Yu. Lerner, “Hierarchical Dyson model and $p$-adic conformal invariance”, TMF, 97:2 (1993), 227–237; Theoret. and Math. Phys., 97:2 (1993), 1259–1266
Linking options:
https://www.mathnet.ru/eng/tmf1735 https://www.mathnet.ru/eng/tmf/v97/i2/p227
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