Tootfinder

Renormalized Perturbation Theory at Field-level: the LSS bootstrap in GridSPT
Matteo Peron, Takahiro Nishimichi, Massimo Pietroni, Atsushi Taruya
https://arxiv.org/abs/2506.07105 …

Renormalized Perturbation Theory at Field-level: the LSS bootstrap in GridSPT
We present a first step toward field-level cosmological inference beyond the standard $Λ$CDM model, focusing on optimizing precision tests in the nonlinear regime of large-scale structure (LSS). As an illustrative case, we study the model-independent ``bootstrap'' coefficient of the second-order perturbation theory (PT) kernel for matter in real space, which we use as a proxy for new physics effects in the nonlinear sector. We discuss in details the ultraviolet (UV) cutoff dependence induced b…

The diffusivity of supercritical Bernoulli percolation is infinitely differentiable
Chenlin Gu, Wenhao Zhao
https://arxiv.org/abs/2506.07158 https://

The diffusivity of supercritical Bernoulli percolation is infinitely differentiable
We prove that, the diffusivity and conductivity on $\mathbb{Z}^d$-Bernoulli percolation ($d \geq 2$) are infinitely differentiable in supercritical regime. This extends a result by Kozlov [Uspekhi Mat. Nauk 44 (1989), no. 2(266), pp 79 - 120]. The key to the proof is a uniform estimate for the finite-volume approximation of derivatives, which relies on the perturbed corrector equations in homogenization theory. The renormalization of geometry is then implemented in a sequence of scales to gain …

Unveiling the different scaling regimes of the one-dimensional Kardar-Parisi-Zhang--Burgers equation using the functional renormalisation group
Liubov Gosteva, Nicol\'as Wschebor, L\'eonie Canet
https://arxiv.org/abs/2506.03937

Unveiling the different scaling regimes of the one-dimensional Kardar-Parisi-Zhang--Burgers equation using the functional renormalisation group
The Kardar-Parisi-Zhang (KPZ) equation is a celebrated non-linear stochastic equation featuring non-equilibrium scaling. Although in one dimension, its statistical properties are very well understood, a new scaling regime has been reported in recent numerical simulations. This new regime is characterised by a dynamical exponent $z=1$, markedly different from the expected one $z=3/2$ for the KPZ universality class, and it emerges when approaching the inviscid limit. The origin of this scaling ha…

What is the Quark-Gluon Plasma made of?
Berndt M\"uller
https://arxiv.org/abs/2506.07181 https://arxiv.org/pdf/2506.07181…

What is the Quark-Gluon Plasma made of?
This article surveys our present understanding of the internal structure of the fully developed quark-gluon plasma at temperatures outside the crossover region. The theoretical part of the review covers perturbative and nonperturbative approaches to quark-gluon plasma structure, in particular, hard-thermal loop effective theory, lattice QCD and the functional renormalization group. The phenomenological part of the review scrutinizes the information that has been derived from bulk observables an…

Violation of Luttinger's theorem in one-dimensional interacting fermions
Meng Gao, Yin Zhong
https://arxiv.org/abs/2506.04064 https://

Violation of Luttinger's theorem in one-dimensional interacting fermions
Using the density matrix renormalization group method, we systematically investigate the evolution of the Luttinger integral in the one-dimensional generalized t-V model as a function of filling and interaction strength, identifying three representative phases. In the weak-coupling regime, the zero-frequency Green's function shows a branch-cut structure at the Fermi momentum, and the Luttinger integral accurately reflects the particle density. As the interaction increases, the spectral weight n…

Self-organized criticality in a relativistic Yukawa theory with Luttinger fermions
Holger Gies, Marta Picciau
https://arxiv.org/abs/2506.13441 https://

Self-organized criticality in a relativistic Yukawa theory with Luttinger fermions
We propose and investigate a Yukawa model featuring a dynamical scalar field coupled to relativistic Luttinger fermions. Using the functional renormalization group (RG) as well as large-$N_{\text{f}}$ or perturbative expansions, we observe the emergence of an infrared attractive partial fixed point in all interactions at which all couplings become RG irrelevant. At the partial fixed point, the scalar mass parameter is RG marginal, featuring a slow logarithmic running towards the regime of spont…

Multiple Soft Scatterings in Scalar Dark Matter Freeze-In
Mathias Becker, Maria Jose Fernandez Lozano, Julia Harz, Carlos Tamarit
https://arxiv.org/abs/2506.11185

Multiple Soft Scatterings in Scalar Dark Matter Freeze-In
We present an improved calculation of the freeze-in production rate for scalar dark matter (DM) from a gauge-charged parent particle via a renormalizable interaction. Building on the previously developed 1PI-resummed framework to accurately capture the relevant regime $T \sim M$, we expand the analysis to include the Landau-Pomeranchuk-Migdal (LPM) effect, which contributes at leading order $g^2 T$ to the interaction rate in the ultra-relativistic limit. To this end, we derive an equation for t…