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Fracton theories possess exponentially degenerate ground states, excitations with restricted mobility, and nontopological higher-form symmetries. This paper shows that such theories can be defined on arbitrary spatial lattices in three…

Strongly Correlated Electrons · Physics 2020-03-10 Djordje Radicevic

On the basis of the correspondence principle between the relativistic moving medium electrodynamics and relativistic quantum field theory the covariant Lagrangian of the electromagnetic field interaction with the polarized spin particles…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. A. Belousova , N. V. Maksimenko

The distribution of the performed work for spin glasses with gauge symmetry is considered. With the aid of the gauge symmetry, which leads to the exact/rigorous results in spin glasses, we find a fascinating relation of the performed work…

Disordered Systems and Neural Networks · Physics 2015-06-11 Masayuki Ohzeki

We give a brief survey of the theory of hadronic atoms, which represent important sources of information for studying hadron interactions at very low energy. It will be namely demonstrated that a systematic expansion of the observables of…

High Energy Physics - Phenomenology · Physics 2024-12-18 Akaki Rusetsky

Nonlinear field theories can be used to study both standard physics questions, or to study questions such as the emergence of order and complexity. These theories are generally derived from the symmetries of a given problem and the…

Adaptation and Self-Organizing Systems · Physics 2007-09-14 Joel Thorarinson , Marcelo Gleiser

Fractons are a new type of quasiparticle which are immobile in isolation, but can often move by forming bound states. Fractons are found in a variety of physical settings, such as spin liquids and elasticity theory, and exhibit unusual…

Strongly Correlated Electrons · Physics 2020-04-22 Michael Pretko , Xie Chen , Yizhi You

We discuss hidden symmetries of three-dimensional field configurations revealed at the one-particle level by the use of pseudoclassical particle models. We argue that at the quantum field theory level, these can be naturally explained in…

High Energy Physics - Theory · Physics 2015-06-26 Khazret S. Nirov

We show that in the search of a unified mean field description of finite nuclei and of nuclear and neutron matter even at high densities, the relativistic nuclear model derived from effective field theory and density functional theory…

Nuclear Theory · Physics 2007-05-23 Tapas Sil , S. K. Patra , B. K. Sharma , M. Centelles , X. Vinas

This article reviews an approach for constructing a simple relativistic fractal cosmology whose main aim is to model the observed inhomogeneities of the distribution of galaxies by means of the Lemaitre-Tolman solution of Einstein's field…

Cosmology and Nongalactic Astrophysics · Physics 2009-10-27 Marcelo B. Ribeiro

Generic models of cosmological inflation and the recently proposed scenarios of a recycling universe and the string theory landscape predict spacetimes whose global geometry is a stochastic, self-similar fractal. To visualize the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sergei Winitzki

We initiate a systematic study of fracton physics within the geometric framework of Double Field Theory. We ascribe the immobility and large degeneracy of the former to the non-Riemannian backgrounds of the latter, in terms of generalised…

High Energy Physics - Theory · Physics 2022-09-08 Stephen Angus , Minkyoo Kim , Jeong-Hyuck Park

Based on several previous examples, we summarize explicitly the general procedure to gauge models with subsystem symmetries, which are symmetries with generators that have support within a sub-manifold of the system. The gauging process can…

Strongly Correlated Electrons · Physics 2019-04-03 Wilbur Shirley , Kevin Slagle , Xie Chen

We construct matter field theories in ``theory space'' that are fractal, and invariant under geometrical renormalization group (RG) transformations. We treat in detail complex scalars, and discuss issues related to fermions, chirality, and…

High Energy Physics - Theory · Physics 2008-11-26 Christopher T. Hill

We study various non-relativistic field theories with exotic symmetries called subsystem symmetries, which have recently attracted much attention in the context of fractons. We start with a scalar theory called $\phi$-theory in $d+1$…

High Energy Physics - Theory · Physics 2023-04-12 Masazumi Honda , Taiichi Nakanishi

Fractons are exotic quasiparticles whose mobility in space is restricted by symmetries. In potential real-world realisations, fractons are likely lodged to a physical material rather than absolute space. Motivated by this, we propose and…

High Energy Physics - Theory · Physics 2026-05-22 Akash Jain

We analyze constrained superfields in supergravity. We investigate the consistency and solve all known constraints, presenting a new class that may have interesting applications in the construction of inflationary models. We provide the…

High Energy Physics - Theory · Physics 2016-03-23 Gianguido Dall'Agata , Fotis Farakos

Here we look at some situations that are like the unit circle or the real line in some ways, but which can be more complicated or fractal in other ways.

Classical Analysis and ODEs · Mathematics 2013-11-27 Stephen Semmes

We provide a new perspective on fracton topological phases, a class of three-dimensional topologically ordered phases with unconventional fractionalized excitations that are either completely immobile or only mobile along particular lines…

Strongly Correlated Electrons · Physics 2018-01-23 Gábor B. Halász , Timothy H. Hsieh , Leon Balents

We discuss nonstandard continuum quantum field theories in 2+1 dimensions. They exhibit exotic global symmetries, a subtle spectrum of charged excitations, and dualities similar to dualities of systems in 1+1 dimensions. These continuum…

Strongly Correlated Electrons · Physics 2021-02-10 Nathan Seiberg , Shu-Heng Shao

The paper discusses the problem of the Lorentz contraction in accelerated systems, in the context of the special theory of relativity. Equal proper accelerations along different world lines are considered, showing the differences arising…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Angelo Tartaglia , Matteo Luca Ruggiero