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We discuss the concept of discrete scale invariance and how it leads to complex critical exponents (or dimensions), i.e. to the log-periodic corrections to scaling. After their initial suggestion as formal solutions of renormalization group…

Statistical Mechanics · Physics 2015-06-25 Didier Sornette

We present a scale invariant extension of the standard model with new QCD-like strong interaction in the hidden sector. A scale $\Lambda_H$ is dynamically generated in the hidden sector by dimensional transmutation, and chiral symmetry…

High Energy Physics - Phenomenology · Physics 2011-04-20 Taeil Hur , P. Ko

The $U(1)$ global symmetry to solve the strong $CP$ problem could be the remnant of multi-$U(1)$ symmetries from QCD and hidden strong dynamics. Both Peccei-Quinn $U(1)$ and dynamical $U(1)$ are described uniformly, based on which we…

High Energy Physics - Phenomenology · Physics 2021-06-02 Dong Hu , Hao-Ran Jiang , Hao-Lin Li , Ming-Lei Xiao , Jiang-Hao Yu

One of the characteristic features of categorical systems theory is that the behavior of systems can be characterized by certain morphisms into them. In other words, behaviors form a representable covariant functor to Set. And more…

Category Theory · Mathematics 2026-04-03 Owen Lynch , David Jaz Myers , Eigil Fjeldgren Rischel , Sam Staton

We propose a novel and generalized mechanism, dubbed stochastic axion mixing. In a multi-axion framework, this mixing occurs naturally provided that the masses of all ultra-light axion-like particles (ALPs) are distinct and lighter than the…

High Energy Physics - Phenomenology · Physics 2026-05-01 Hai-Jun Li

The axion solution to the strong CP problem requires an anomalous global U(1) symmetry. We show that the existence of such a symmetry is a natural consequence of an extra dimension in which a gauged U(1) is spontaneously broken on one of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hsin-Chia Cheng , David Elazzar Kaplan

The QCD axion may offer a unified origin for the baryon asymmetry and dark matter through axiogenesis. However, in the minimal QCD axion scenario, axiogenesis either underproduces baryons or overproduces dark matter, and the required…

High Energy Physics - Phenomenology · Physics 2025-11-21 Pouya Asadi , David Cyncynates , Stefania Gori

We show that the assumption of non-zero topological susceptibility of the vacuum in a fermion-free version of a theory, such as gravity or QCD, suffices to conclude the following: Once N massless fermion flavors are added to the theory,…

High Energy Physics - Theory · Physics 2017-05-19 Gia Dvali

The richness of many complex systems stems from the interactions among their components. The higher-order nature of these interactions, involving many units at once, and their temporal dynamics constitute crucial properties that shape the…

Physics and Society · Physics 2024-07-29 Marco Mancastroppa , Iacopo Iacopini , Giovanni Petri , Alain Barrat

We present several models where the QCD axion arises accidentally. Confining gauge theories can generate axion candidates whose properties are uniquely determined by the quantum numbers of the new fermions under the Standard Model. The…

High Energy Physics - Phenomenology · Physics 2017-03-15 Michele Redi , Ryosuke Sato

Systems with the coexistence of different stable attractors are widely exploited in systems biology in order to suitably model the differentiating processes arising in living cells. In order to describe genetic regulatory networks several…

Dynamical Systems · Mathematics 2010-07-16 V. Lanza , L. Ponta , M. Bonnin , F. Corinto

Defects play an important role in a number of fields dealing with ordered structures. They are often described in terms of their topology, mutual interaction and their statistical characteristics. We demonstrate theoretically and…

Pattern Formation and Solitons · Physics 2009-11-10 R. Neubecker , E. Benkler , R. Martin , G. -L. Oppo

Dynamical decoupling is the leading technique to remove unwanted interactions in a vast range of quantum systems through fast rotations. But what determines the time-scale of such rotations in order to achieve good decoupling? By providing…

Quantum Physics · Physics 2021-08-11 Daniel Burgarth , Paolo Facchi , Martin Fraas , Robin Hillier

We investigate the stability and fluctuations of a soft wall model that has an asymptotically AdS metric and a scalar field that has an asymptotically power-law dependence in the conformal coordinate. By imposing UV boundary conditions, the…

High Energy Physics - Phenomenology · Physics 2014-11-21 T. Gherghetta , N. Setzer

We study and characterize a quasi-continuous dynamical decoupling (QCDD) scheme that effectively suppresses dominant frequency shifts in a multi-ion optical clock. Addressing the challenge of inhomogeneous frequency shifts in such systems,…

Atomic Physics · Physics 2024-08-13 Nitzan Akerman , Roee Ozeri

We argue that theories with multiple axions generically contain a large number of vacua that can account for the smallness of the cosmological constant. In a theory with N axions, the dominant instantons with charges Q determine the…

High Energy Physics - Theory · Physics 2016-02-03 Thomas C. Bachlechner

Synchronization is a phenomenon where interacting particles lock their motion and display non-trivial dynamics. Despite intense efforts studying synchronization in systems without clear classical limits, no comprehensive theory has been…

Quantum Physics · Physics 2022-03-23 Berislav Buca , Cameron Booker , Dieter Jaksch

We discuss conditions that should be satisfied by axion models for solving the strong CP problem. It has been observed that Planck scale effects may render the axion models ineffective if there are gauge invariant operators of dimension…

High Energy Physics - Phenomenology · Physics 2016-08-24 Bogdan A. Dobrescu

We present a new framework to study the time variation of fundamental constants in a model-independent way. Model independence implies more free parameters than assumed in previous studies. Using data from atomic clocks based on $^{87}$Sr,…

Axion models generically suffer from a severe quality problem when coupled to gravity. In this article we provide a very simple model with a high quality axion. The axion is a pseudo-Nambu-Goldstone boson of the baryon number symmetry,…

High Energy Physics - Phenomenology · Physics 2025-10-10 Prateek Agrawal , Anson Hook , Vazha Loladze , Mario Reig