M. V. Komarova, M. Yu. Nalimov, “Asymptotic Behavior of Higher-Order Perturbations: Scaling Functions of the $O(n)$-Symmetric $\phi^4$-Theory in the $(4-\epsilon)$-Expansion”, TMF, 129:3 (2001), 387–402; Theoret. and Math. Phys., 129:3 (2001), 1631

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Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 129, Number 3, Pages 387–402
DOI: https://doi.org/10.4213/tmf544 (Mi tmf544)

This article is cited in 4 scientific papers (total in 4 papers)

Asymptotic Behavior of Higher-Order Perturbations: Scaling Functions of the $O(n)$-Symmetric $\phi^4$-Theory in the $(4-\epsilon)$-Expansion

M. V. Komarova, M. Yu. Nalimov

Saint-Petersburg State University

Full-text PDF (278 kB) Citations (4)

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DOI: https://doi.org/10.4213/tmf544

Abstract: We use an instantonic approach to calculate the asymptotic behavior of higher orders of the $(4-\epsilon)$-expansion for the scaling function of the pair correlator of the $O(n)$-symmetric $\phi^4$-theory in the minimal subtraction scheme. Our results differ substantially from the known exact expression for the $\epsilon^3$ order of the expansion of the scaling function in the small-$\tau$ domain.

Received: 11.03.2001

English version:
Theoretical and Mathematical Physics, 2001, Volume 129, Issue 3, Pages 1631–1644
DOI: https://doi.org/10.1023/A:1013007232713

Bibliographic databases:

Language: Russian

Citation: M. V. Komarova, M. Yu. Nalimov, “Asymptotic Behavior of Higher-Order Perturbations: Scaling Functions of the $O(n)$-Symmetric $\phi^4$-Theory in the $(4-\epsilon)$-Expansion”, TMF, 129:3 (2001), 387–402; Theoret. and Math. Phys., 129:3 (2001), 1631–1644

Citation in format AMSBIB

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\jour Theoret. and Math. Phys.

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https://www.mathnet.ru/eng/tmf544

https://doi.org/10.4213/tmf544

https://www.mathnet.ru/eng/tmf/v129/i3/p387

This publication is cited in the following 4 articles:

M. V. Komarova, I. S. Kremnev, M. Yu. Nalimov, “Family of instantons of the Kraichnan model with a frozen velocity field”, Theoret. and Math. Phys., 158:2 (2009), 167–178
M. V. Komarova, M. Yu. Nalimov, “Large-order asymptotic terms in perturbation theory: The first $(4-\epsilon)$-expansion correction to renormalization constants in the $O(n)$-symmetric theory”, Theoret. and Math. Phys., 143:2 (2005), 664–680
Honkonen, J, “Instantons for dynamic models from B to H”, Nuclear Physics B, 714:3 (2005), 292
Honkonen, J, “Large-order asymptotes for dynamic models near equilibrium”, Nuclear Physics B, 707:3 (2005), 493

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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