Approach to the lower critical dimension of the φ4 theory in the derivative expansion of the functional renormalization group

Znanstveni rad - Izvorni znanstveni rad

• Autor: Lucija Nora Farkaš
• Autor: Gilles Tarjus
• Autor: Ivan Balog
• Autorova ustanova: Sveučilište u Zagrebu; Prirodoslovno-matematički fakultet; (Fizički odsjek)
• Znanstveno / umjetničko područje, polje i grana: PRIRODNE ZNANOSTI; Fizika

Sažetak (engleski)

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 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.

• Ključne riječi (engleski): lower critical dimension 𝑑lc; functional renormalization group
• Jezik: engleski
• Vrsta publikacije: Znanstveni rad - Izvorni znanstveni rad
• Status objave: Objavljen
• Vrsta recenzije: Recenziran - međunarodna recenzija
• Verzija publikacije: Objavljena verzija rada (izdavačev PDF)
• Naslov časopisa: Physical Review E
• Brojčani podaci: vol. 108, br. 5, 054107
• p-ISSN: 2470-0045
• e-ISSN: 2470-0053
• DOI: https://doi.org/10.1103/PhysRevE.108.054107
• URN:NBN: urn:nbn:hr:217:984051
• Datum objave publikacije: 2023-11
• Projekt: Šifra: KK.01.1.1.01.0004; Naziv (hrvatski): Provedba vrhunskih istraživanja u sklopu Znanstvenog centra izvrsnosti za kvantne i kompleksne sustave te reprezentacije Liejevih algebri; Naziv (engleski): Implementation of top research within the Scientific Center of Excellence for Quantum and Complex Systems, and Representations of Lie Algebras; Kratica: QuantiXLie; Voditelj: Hrvoje Buljan; Pravna nadležnost: eu; Financijer: Europska komisija; Linija financiranja: European Regional Development Fund
• URL dokumenta: https://link.aps.org/doi/10.1103/PhysRevE.108.054107
• Vrsta resursa: Tekst
• Prava pristupa: Otvoreni pristup
• Javna napomena: © 2023 American Physical Society. Received 7 July 2023. Accepted 11 October 2023. Published 6 November 2023.
• Datum i vrijeme pohrane: 2024-07-23 10:46:45