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Background Field Functional Renormalization Group for Absorbing State Phase Transitions

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Michael Buchhold, Sebastian Diehl

Statistical Mechanics · Submitted 26 Apr 2016

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Due to the presence of the background field, the corresponding non-perturbative flow equations yield remarkably good estimates for the critical exponents of the directed percolation universality class, even in low dimensions.

how it is stated · asserted 1.00 read the record →

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arXiv ID1604.07612 (version 3)
Pith IDTVHZXGO3, Pith's permanent record of this paper and its review
CitationMichael Buchhold, Sebastian Diehl. "Background Field Functional Renormalization Group for Absorbing State Phase Transitions." arXiv:1604.07612 (2016). https://pith.science/paper/TVHZXGO3
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,028 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.09 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.09 · compares with prior results 0.20 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; .

We present a functional renormalization group approach for the active to inactive phase transition in directed percolation type systems, in which the transition is approached from the active, finite density phase. By expanding the effective potential for the density field around its minimum, we obtain a background field action functional, which serves as a starting point for the functional renormalization group approach. Due to the presence of the background field, the corresponding non-perturbative flow equations yield remarkably good estimates for the critical exponents of the directed percolation universality class, even in low dimensions.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We present a functional renormalization group approach for the active to inactive phase transition in directed percolation type systems, in which the transition is approached from the active, finite density phase. contribution 0.98 0.91 0.12 asserted 0.99
s1 By expanding the effective potential for the density field around its minimum, we obtain a background field action functional, which serves as a starting point for the functional renormalization group approach. method 0.98 0.93 0.05 asserted 1.00
s2 Due to the presence of the background field, the corresponding non-perturbative flow equations yield remarkably good estimates for the critical exponents of the directed percolation universality class, even in low dimensions. result 0.99 0.88 0.79 asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.97 · evidence from proof or derivation 0.74.

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  • arXiv listing abstract v3
not examined
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  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We present a functional renormalization group approach for the active to inactive phase transition in directed percolation type systems, in which the transition is approached from the active, finite density phase. By expanding the effective potential for the density field around its minimum, we obtain a background field action functional, which serves as a starting point for the functional renormalization group approach. Due to the presence of the background field, the corresponding non-perturbative flow equations yield remarkably good estimates for the critical exponents of the directed percolation universality class, even in low dimensions.

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Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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