Topological phase transitions in four dimensions

Topological phase transitions in four dimensions

We show that four-dimensional systems may exhibit a topological phase transition analogous to the well-known Berezinskii-Kosterlitz-Thouless vortex unbinding transition in two-dimensional systems. We study a suitable generalization of the sine-Gordon model in four dimensions and the renormalization...

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Main Authors: Nicolò Defenu, Andrea Trombettoni, Dario Zappalà
Format: Article
Language:English
Published: Elsevier 2021-03-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321320303801
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spelling doaj-9ff444d491c84284a055636eec47462a2021-02-23T04:08:41ZengElsevierNuclear Physics B0550-32132021-03-01964115295Topological phase transitions in four dimensionsNicolò Defenu0Andrea Trombettoni1Dario Zappalà2Institute for Theoretical Physics, ETH Zürich, Wolfgang-Pauli-Str. 27, 8093 Zürich, Switzerland; Corresponding author.Department of Physics, University of Trieste, Strada Costiera 11, I-34151 Trieste, Italy; CNR-IOM DEMOCRITOS Simulation Center and SISSA, Via Bonomea 265, I-34136 Trieste, ItalyINFN, Sezione di Catania, Via Santa Sofia 64, 95123 Catania, ItalyWe show that four-dimensional systems may exhibit a topological phase transition analogous to the well-known Berezinskii-Kosterlitz-Thouless vortex unbinding transition in two-dimensional systems. We study a suitable generalization of the sine-Gordon model in four dimensions and the renormalization group flow equation of its couplings, showing that the critical value of the frequency is the square of the corresponding value in 2D. The value of the anomalous dimension at the critical point is determined (η=1/32) and a conjecture for the universal jump of the superfluid stiffness (4/π2) presented.http://www.sciencedirect.com/science/article/pii/S0550321320303801
collection DOAJ
language English
format Article
sources DOAJ
author Nicolò Defenu
Andrea Trombettoni
Dario Zappalà
spellingShingle Nicolò Defenu
Andrea Trombettoni
Dario Zappalà
Topological phase transitions in four dimensions
Nuclear Physics B
author_facet Nicolò Defenu
Andrea Trombettoni
Dario Zappalà
author_sort Nicolò Defenu
title Topological phase transitions in four dimensions
title_short Topological phase transitions in four dimensions
title_full Topological phase transitions in four dimensions
title_fullStr Topological phase transitions in four dimensions
title_full_unstemmed Topological phase transitions in four dimensions
title_sort topological phase transitions in four dimensions
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
publishDate 2021-03-01
description We show that four-dimensional systems may exhibit a topological phase transition analogous to the well-known Berezinskii-Kosterlitz-Thouless vortex unbinding transition in two-dimensional systems. We study a suitable generalization of the sine-Gordon model in four dimensions and the renormalization group flow equation of its couplings, showing that the critical value of the frequency is the square of the corresponding value in 2D. The value of the anomalous dimension at the critical point is determined (η=1/32) and a conjecture for the universal jump of the superfluid stiffness (4/π2) presented.
url http://www.sciencedirect.com/science/article/pii/S0550321320303801
work_keys_str_mv AT nicolodefenu topologicalphasetransitionsinfourdimensions
AT andreatrombettoni topologicalphasetransitionsinfourdimensions
AT dariozappala topologicalphasetransitionsinfourdimensions
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