Topological phase transitions in four dimensions

Year: 2021

Authors: Defenu N., Trombettoni A., Zappalà D.

Autors Affiliation: Swiss Fed Inst Technol, Inst Theoret Phys, Wolfgang Pauli Str 27, CH-8093 Zurich, Switzerland; Univ Trieste, Dept Phys, Str Costiera 11, I-34151 Trieste, Italy; CNR, IOM DEMOCRITOS Simulat Ctr, Via Bonomea 265, I-34136 Trieste, Italy; SISSA, Via Bonomea 265, I-34136 Trieste, Italy; INFN, Sez Catania, Via Santa Sofia 64, I-95123 Catania, Italy.

Abstract: 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 (eta = 1/32) and a conjecture for the universal jump of the superfluid stiffness (4/pi(2)) presented.

Journal/Review: NUCLEAR PHYSICS B

Volume: 964      Pages from: 115295-1  to: 115295-19

More Information: Funded by SCOAP3.
KeyWords: Kosterlitz-thouless Transition; Sine-gordon Model; Renormalization-group; Critical-behavior; Lifshitz Point; Coulomb Gas; Equation; Magnetization; Metastability
DOI: 10.1016/j.nuclphysb.2020.115295

Citations: 9
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