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Scientific paper - Original scientific paper
Approach to the lower critical dimension of the φ4 theory in the derivative expansion of the functional renormalization group
Physical Review E, 108 (2023), 5; 054107. https://doi.org/10.1103/PhysRevE.108.054107
Farkaš, Lucija Nora; Tarjus, Gilles; Balog, Ivan

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Farkaš, L. N., Tarjus, G. & Balog, I. (2023). Approach to the lower critical dimension of the φ4 theory in the derivative expansion of the functional renormalization group. Physical Review E, 108. (5). doi: 10.1103/PhysRevE.108.054107

Farkaš, Lucija Nora, et al. "Approach to the lower critical dimension of the φ4 theory in the derivative expansion of the functional renormalization group." Physical Review E, vol. 108, no. 5, 2023. https://doi.org/10.1103/PhysRevE.108.054107

Farkaš, Lucija Nora, Gilles Tarjus and Ivan Balog. "Approach to the lower critical dimension of the φ4 theory in the derivative expansion of the functional renormalization group." Physical Review E 108, no. 5 (2023). https://doi.org/10.1103/PhysRevE.108.054107

Farkaš, L. N., Tarjus, G. and Balog, I. (2023) 'Approach to the lower critical dimension of the φ4 theory in the derivative expansion of the functional renormalization group', Physical Review E, 108(5). doi: 10.1103/PhysRevE.108.054107

Farkaš LN, Tarjus G, Balog I. Approach to the lower critical dimension of the φ4 theory in the derivative expansion of the functional renormalization group. Physical Review E [Internet]. 2023 November [cited 2025 April 03];108(5). doi: 10.1103/PhysRevE.108.054107

L. N. Farkaš, G. Tarjus and I. Balog, "Approach to the lower critical dimension of the φ4 theory in the derivative expansion of the functional renormalization group", Physical Review E, vol. 108, no. 5, November 2023. [Online]. Available at: https://urn.nsk.hr/urn:nbn:hr:217:984051. [Accessed: 03 April 2025]

Metadata
Title (english)Approach to the lower critical dimension of the φ4 theory in the derivative expansion of the functional renormalization group
AuthorLucija Nora Farkaš
AuthorGilles Tarjus
AuthorIvan Balog
Author's institutionUniversity of Zagreb
Faculty of Science
(Department of Physics)
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract (english)
We revisit the approach to the lower critical dimension 𝑑lc in the Ising-like 𝜑4 theory within the functional renormalization group by studying the lowest approximation levels in the derivative expansion of the effective average action. Our goal is to assess how the latter, which provides a generic approximation scheme valid across dimensions and found to be accurate in 𝑑≥2, is able to capture the long-distance physics associated with the expected proliferation of localized excitations near... More 𝑑lc. We show that the convergence of the fixed-point effective potential is nonuniform in the field when 𝑑→𝑑lc with the emergence of a boundary layer around the minimum of the potential. This allows us to make analytical predictions for the value of the lower critical dimension 𝑑lc and for the behavior of the critical temperature as 𝑑→𝑑lc, which are both found in fair agreement with the known results. This confirms the versatility of the theoretical approach. Less
Keywords (english)
Languageenglish
Publication typeScientific paper - Original scientific paper
Publication statusPublished
Peer reviewPeer review - international
Publication versionPublished version
Journal titlePhysical Review E
Numberingvol. 108, no. 5, 054107
p-ISSN2470-0045
e-ISSN2470-0053
DOIhttps://doi.org/10.1103/PhysRevE.108.054107
URN:NBNurn:nbn:hr:217:984051
Publication2023-11
ProjectNumber: KK.01.1.1.01.0004
Title (croatian): Provedba vrhunskih istraživanja u sklopu Znanstvenog centra izvrsnosti za kvantne i kompleksne sustave te reprezentacije Liejevih algebri
Title (english): Implementation of top research within the Scientific Center of Excellence for Quantum and Complex Systems, and Representations of Lie Algebras
Acronym: QuantiXLie
Leader: Hrvoje Buljan
Jurisdiction: eu
Funding stream: European Regional Development Fund
Document URLhttps://link.aps.org/doi/10.1103/PhysRevE.108.054107
Type of resourceText
Access conditionsOpen access
Terms of useLicence In copyright icon
Public note© 2023 American Physical Society. Received 7 July 2023. Accepted 11 October 2023. Published 6 November 2023.
Created on2024-07-23 10:46:45
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