Nonperturbative treatment of a quenched Langevin field theory
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866914281999564800 |
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| author | Ihssen, Friederike Pagni, Valerio Marino, Jamir Diehl, Sebastian Defenu, Nicolò |
| author_facet | Ihssen, Friederike Pagni, Valerio Marino, Jamir Diehl, Sebastian Defenu, Nicolò |
| contents | 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 $θ$ 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 $2<d<4$. This yields results that surpass those of the two-loop $ε$ expansion in accuracy and match analytically known benchmarks at large $N$. These findings contribute to a deeper understanding of out-of-equilibrium universality and open new avenues for non-perturbative studies of critical dynamics, as well as for exploring the critical behavior of systems with spatial boundaries. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_00815 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nonperturbative treatment of a quenched Langevin field theory Ihssen, Friederike Pagni, Valerio Marino, Jamir Diehl, Sebastian Defenu, Nicolò Statistical Mechanics 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 $θ$ 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 $2<d<4$. This yields results that surpass those of the two-loop $ε$ expansion in accuracy and match analytically known benchmarks at large $N$. These findings contribute to a deeper understanding of out-of-equilibrium universality and open new avenues for non-perturbative studies of critical dynamics, as well as for exploring the critical behavior of systems with spatial boundaries. |
| title | Nonperturbative treatment of a quenched Langevin field theory |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2504.00815 |