{"arxiv_id":"hep-lat/9412091","incoming":{"papers":52,"sentences":106,"groups":[{"kind":"extends","label":"Builds on it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2309.01672","title":"Perturbative effective field theory expansions for cosmological phase transitions","url":"/paper/2309.01672","section":"Discussion","sentence":"In this work at hand, we have unified, generalised and expanded most of this progress to a revised EFT framework for equilibrium thermodynamics that builds from the dimensionally reduced 3d EFTs [ref] , but also consistently applies strict power-counting expansions in perturbation theory [ref] .","intent_p":0.96,"contests_p":null}]},{"kind":"method_or_tool","label":"Uses its method or tool","papers":9,"sentences":9,"quotes":[{"arxiv_id":"2412.15864","title":"What happens when supercooling is terminated by curvature flipping of the effective potential?","url":"/paper/2412.15864","section":"Setup","sentence":"We simulate a 3-dimensional effective field theory containing the light bosonic field (the zero Matsubara mode), which we write as $ϕ$ , with the remaining heavy fields integrated out [ref] .","intent_p":0.81,"contests_p":null},{"arxiv_id":"2507.07014","title":"Cosmological phase transitions without high-temperature expansions","url":"/paper/2507.07014","section":"Thermodynamics using 3d EFT in a high-T expansion","sentence":"Finally, we compute the latent heat in a strict expansion akin to Refs. [ref] , that is [equation] where the eta-function $η(σ̃_3) ≡T dσ̃_3/dT$ at $T_c$ [ref] and the jump in the scalar condensate [ref] admits a strict expansion [equation] Here, we use the shorthand notation $v_0 ≡√(-6 m̃^2_ϕ,3/λ_3)$ for the order parameter with $m̃^2_ϕ,3 = m^2_ϕ,3 - g^2_3/(2λ_3)$ and the effective expansion parameter $α_3 ≡√(λ_3)/(4π|v_0|)$.","intent_p":0.95,"contests_p":null},{"arxiv_id":"2005.03544","title":"Precise WIMP Dark Matter Abundance and Standard Model Thermodynamics","url":"/paper/2005.03544","section":"Effective Degrees of Freedom in the Standard Model","sentence":"First, at temperatures lower than the critical temperature of the electroweak crossover, the thermodynamic quantities can be evaluated by using the one-loop [ref] or two-loop [ref] Coleman-Weinberg potential.","intent_p":0.84,"contests_p":null},{"arxiv_id":"2203.04284","title":"Combining thermal resummation and gauge invariance for electroweak phase transition","url":"/paper/2203.04284","section":"Thermodynamics: resummation and gauge invariance","sentence":"Determining critical temperatures numerically from a condition that the value of the effective potential at different phases is degenerate [ref] as well as determining gauge-invariant condensates and latent heat [ref] .","intent_p":0.95,"contests_p":null},{"arxiv_id":"2405.18349","title":"Cosmological phase transitions at three loops: the final verdict on perturbation theory","url":"/paper/2405.18349","section":"Three-loop computation","sentence":"The chain-rule can be used to rewrite temperature derivatives as $y$ and $x$ derivatives [ref] [equation] and express the entropy in terms of so-called condensates [ref] [equation] where $⟨⟩$ is the quadratic scalar condensate and $⟨()^2⟩$, the quartic condensate.","intent_p":0.91,"contests_p":null}]},{"kind":"data_used","label":"Uses its data or values","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2101.05528","title":"Real scalar phase transitions: a nonperturbative analysis","url":"/paper/2101.05528","section":"Lattice-continuum relations","sentence":"It is given analytically in Eq. (170) of Ref. [ref] , and its numerical value is $Σ=3.17591153562522...$.","intent_p":0.98,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":9,"sentences":9,"quotes":[{"arxiv_id":"2309.01672","title":"Perturbative effective field theory expansions for cosmological phase transitions","url":"/paper/2309.01672","section":"Cosmological phase transitions","sentence":"Such EFTs are commonly referred as “ultrasoft” scale EFTs, and have been studied using non-perturbative lattice simulations e.g. in [ref] .","intent_p":0.91,"contests_p":null},{"arxiv_id":"2205.07238","title":"First-order electroweak phase transitions: a nonperturbative update","url":"/paper/2205.07238","section":"Electroweak physics at high temperatures","sentence":"This 3d EFT [ref] has been studied extensively both perturbatively and nonperturbatively in Refs. [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"2012.09758","title":"Electroweak Phase Transition with an SU(2) Dark Sector","url":"/paper/2012.09758","section":"Electroweak phase transition","sentence":"The dynamics of the phase transition is determined by the effective potential at the finite temperature (see, e.g., Ref. [ref] for a recent review), which can be calculated perturbatively or non-perturbatively on the lattice with dimensional reduction [ref] .","intent_p":0.95,"contests_p":null},{"arxiv_id":"2206.12884","title":"A New Order Parameter for the Higgs Transition in $SU(2)$-Higgs Theory","url":"/paper/2206.12884","section":"Introduction","sentence":"Over the years, several non-perturbative lattice studies have been devoted in this regard [ref] (For reviews, please see [ref] ).","intent_p":0.99,"contests_p":null},{"arxiv_id":"2112.08912","title":"Computing the gauge-invariant bubble nucleation rate in finite temperature effective field theory","url":"/paper/2112.08912","section":"Introduction","sentence":"For equilibrium properties of the transition, such lattice analyses appear e.g. in [ref] .","intent_p":0.88,"contests_p":null}]}],"unlabelled_sentences":86},"outgoing":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/hep-lat/9412091"}}