Nonperturbative treatment of a quenched Langevin field theory

We present a novel approach within the functional renormalization group framework for computing critical exponents that characterize the time evolution of out-of-equilibrium many-body systems. Our approach permits access to quantities involved in the renormalization procedure, using an expansion abo...

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Hauptverfasser: Ihssen, Friederike (VerfasserIn) , Pagni, Valerio (VerfasserIn) , Marino, Jamir (VerfasserIn) , Diehl, Sebastian (VerfasserIn) , Defenu, Nicolò (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 11 July 2025
In: Physical review
Year: 2025, Jahrgang: 112, Heft: 2, Pages: 1-13
ISSN:2469-9969
DOI:10.1103/x96k-tfrv
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/x96k-tfrv
Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/x96k-tfrv
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Verfasserangaben:Friederike Ihssen, Valerio Pagni, Jamir Marino, Sebastian Diehl, and Nicolò Defenu

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520 |a We present a novel approach within the functional renormalization group framework for computing critical exponents that characterize the time evolution of out-of-equilibrium many-body systems. Our approach permits access to quantities involved in the renormalization procedure, using an expansion about time-translation invariant problems. This expansion can be upgraded to a fully time-dependent computation by iteration. As a prototypical example, we compute the aging exponent describing the dynamics of model A following a sudden quench to the critical point. Already at leading order, the approach demonstrates remarkable accuracy when compared with MC simulations and resummed perturbative expansions in the range 2<<4. This yields results that surpass those of the two-loop expansion in accuracy and match analytically known benchmarks at large . These findings contribute to a deeper understanding of out-of-equilibrium universality and open new avenues for nonperturbative studies of critical dynamics, as well as for exploring the critical behavior of systems with spatial boundaries. 
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