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We study the physics of a single discrete gravitational extra dimension using the effective field theory for massive gravitons. We first consider a minimal discretization with 4D gravitons on the sites and nearest neighbor hopping terms. At…

High Energy Physics - Theory · Physics 2011-07-19 Nima Arkani-Hamed , Matthew D. Schwartz

A scalar theory can have many Gaussian (free) fixed points, corresponding to Lagrangians of the form $\phi\,\Box^k\phi$. We use the non-perturbative RG to study examples of flows between such fixed points. We show that the anomalous…

High Energy Physics - Theory · Physics 2022-07-22 Diego Buccio , Roberto Percacci

Following the recent work of Sznitman (arXiv:0805.4516), we investigate the microscopic picture induced by a random walk trajectory on a cylinder of the form G_N x Z, where G_N is a large finite connected weighted graph, and relate it to…

Probability · Mathematics 2010-07-13 David Windisch

The question of building a local diff-invariant effective gravitational action for the trace anomaly is reconsidered. General Relativity (GR) combined with the existing action for the trace anomaly is an inconsistent low energy effective…

High Energy Physics - Theory · Physics 2023-07-19 Gregory Gabadadze

We continue the study initiated in [arXiv:1708.02252] of the fluctuations of a strongly-coupled non-conformal plasma described holographically by Einstein gravity coupled to a dilaton with an exponential potential. The plasma approaches a…

High Energy Physics - Theory · Physics 2020-05-06 Panagiotis Betzios , Umut Gürsoy , Matti Järvinen , Giuseppe Policastro

A dilaton could be the dominant messenger between Standard Model fields and dark matter. The measured dark matter relic abundance relates the dark matter mass and spin to the conformal breaking scale. The dark matter-nucleon…

High Energy Physics - Phenomenology · Physics 2010-01-07 Yang Bai , Marcela Carena , Joseph Lykken

The linked fluid dynamics videos depict Rayleigh-Taylor turbulence when driven by a complex acceleration profile involving two stages of acceleration interspersed with a stage of stabilizing deceleration. Rayleigh-Taylor (RT) instability…

Fluid Dynamics · Physics 2013-10-15 P. Ramaprabhu , V. Karkhanis , A. G. W. Lawrie

We consider fluctuating Sabra models of turbulence, which exhibit the phenomenon of spontaneous stochasticity: their solutions converge to a stochastic process in the ideal limit, when both viscosity and small-scale noise vanish. In this…

Chaotic Dynamics · Physics 2026-03-06 Alexei A. Mailybaev

We present results from high precision, large volume simulations of the lattice gauge theory corresponding to minimal walking technicolor. We find evidence that the pion decay constant vanishes in the infinite volume limit and that the…

High Energy Physics - Lattice · Physics 2009-10-23 Simon Catterall , Joel Giedt , Francesco Sannino , Joe Schneible

The random Lorentz gas (RLG) is a minimal model of transport in heterogeneous media. It also models the dynamics of a tracer in a glassy system. These two perspectives, however, are fundamentally inconsistent. Arrest in the former is…

Let a random geometric graph be defined in the supercritical regime for the existence of a unique infinite connected component in Euclidean space. Consider the first-passage percolation model with independent and identically distributed…

The field theoretic renormalization group (RG) is applied to the problem of a passive scalar advected by the Gaussian self-similar velocity field with finite correlation time and in the presence of an imposed linear mean gradient. The…

chao-dyn · Physics 2009-10-31 N. V. Antonov

The Universe, far to be homogenous, expands in large empty bubbles of the large-scale structure, but not in mass concentrations like galaxies, so that the Robertson-Walker solution does not fit. We suggest that a symmetry breaking occurred…

General Physics · Physics 2008-12-08 Jean Pierre Petit , Gilles d'Agostini

We use the large N approximation to find an exotic phase of a cold, two-dimensional, N-component Fermi gas which exhibits dynamically broken approximate scale symmetry. We identify a particular weakly damped collective excitation as the…

Quantum Gases · Physics 2018-05-23 Gordon W. Semenoff , Fei Zhou

We estimate the growth of matter perturbations in a class of recently proposed dark-energy models based on the (loop-corrected) gravi-dilaton string effective action, and characterized by a global attractor epoch in which dark-matter and…

Astrophysics · Physics 2009-11-07 L. Amendola , M. Gasperini , D. Tocchini-Valentini , C. Ungarelli

We study the dynamics of three particles in a finite interval, in which two light particles are separated by a heavy ``piston'', with elastic collisions between particles but inelastic collisions between the light particles and the interval…

Statistical Mechanics · Physics 2009-11-11 P. I. Hurtado , S. Redner

Transition out of a topological phase is typically characterized by discontinuous changes in topological invariants along with bulk gap closings. However, as a clean system is geometrically punctured, it is natural to ask the fate of an…

Disordered Systems and Neural Networks · Physics 2023-12-15 Saikat Mondal , Subrata Pachhal , Adhip Agarwala

We consider the most general scale invariant radial Hamiltonian allowing for anisotropic scaling between space and time. We formulate a renormalisation group analysis of this system and demonstrate the existence of a quantum phase…

High Energy Physics - Theory · Physics 2018-10-17 Daniel K. Brattan , Omrie Ovdat , Eric Akkermans

We present a simplified holographic model of chiral symmetry breaking in gauge theory. The chiral condensate is represented by a single scalar field in AdS, with the gauge dynamics input through radial dependence of its mass, representing…

High Energy Physics - Phenomenology · Physics 2013-04-17 Nick Evans , Kimmo Tuominen

Given a finite-dimensional time continuous control system and $\varepsilon>0$, we address the question of the existence of controls that maintain the corresponding state trajectories in the $\varepsilon$-neighborhood of any prescribed path…

Optimization and Control · Mathematics 2025-11-18 Manuel Rissel , Marius Tucsnak
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