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We initiate the study of the classical mechanics of non-relativistic fractons in its simplest setting - that of identical one dimensional particles with local Hamiltonians characterized by by a conserved dipole moment in addition to the…

Strongly Correlated Electrons · Physics 2024-02-29 Abhishodh Prakash , Alain Goriely , S. L. Sondhi

We investigate the infrared fixed point structure in asymptotically free and asymptotically non-free theory. We find that the ratios of couplings converge strongly to their infrared fixed points in the asymptotically non-free theory.

High Energy Physics - Phenomenology · Physics 2009-10-30 Masako Bando , Joe Sato , Koichi Yoshioka

``Do Carroll particles move?'' The answer depends on the characteristics of the particle such as its mass, spin, electric charge, and magnetic moment. A massive Carroll particle (closely related to fractons) does not move; its immobility…

High Energy Physics - Theory · Physics 2025-05-20 L. Marsot , P. -M. Zhang , M. Chernodub , P. A. Horvathy

We explore the information-theoretic phases of monitored quantum circuits subject to dynamics that conserves both charge and dipole moment, as well as measurements of the local charge density. Explicitly, both charge and dipole-moment…

Quantum Physics · Physics 2025-12-18 Caterina Zerba , Sarang Gopalakrishnan , Michael Knap

We present a covariant field-theoretical framework for a rank-4 tensor gauge field theory describing fractonic string-like objects. We show that the most general quadratic, parity-preserving action naturally leads to a Maxwell-like sector,…

High Energy Physics - Theory · Physics 2026-05-21 Erica Bertolini , Hyungrok Kim , Giandomenico Palumbo

The emerging study of fractons, a new type of quasi-particle with restricted mobility, has motivated the construction of several classes of interesting continuum quantum field theories with novel properties. One such class consists of…

High Energy Physics - Theory · Physics 2021-10-19 Hao Geng , Shamit Kachru , Andreas Karch , Richard Nally , Brandon C. Rayhaun

A non-perturbative and exactly solvable quantum field theoretical model for a "dressed Dirac field" is presented, that exhibits all the kinematical features of QED: an appropriate delocalization of the charged field as a prerequisite for…

High Energy Physics - Theory · Physics 2022-04-19 Jens Mund , Karl-Henning Rehren , Bert Schroer

We discover that some unstable vacua have long memory. By that we mean that even in the theories containing only massive particles, there are correllators and expectation values which grow with time. We examine the cases of instabilities…

High Energy Physics - Theory · Physics 2015-03-17 Dmitry Krotov , Alexander M. Polyakov

We study the concomitant breaking of spatial translations and dilatations in Ginzburg-Landau-like models, where the dynamics responsible for the symmetry breaking is described by an effective Mexican hat potential for spatial gradients. We…

High Energy Physics - Theory · Physics 2021-11-10 Riccardo Argurio , Carlos Hoyos , Daniele Musso , Daniel Naegels

In this paper, we investigate the asymptotic structure of gauge theories in decelerating and spatially flat Friedmann-Lema\^itre-Robertson-Walker universes. Firstly, we thoroughly explore the asymptotic symmetries of electrodynamics in this…

High Energy Physics - Theory · Physics 2023-01-24 Martin Enriquez-Rojo , Tobias Schroeder

In this work, it is shown that based on the linear analysis, as long as a theory of gravity is diffeomorphism invariant and possesses the tensor degrees of freedom propagating at a constant, isotropic speed without dispersion, its…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Shaoqi Hou

Fracton topological phases host fractionalized excitations that are either completely immobile or only mobile along certain lines or planes. We demonstrate how such phases can be understood in terms of two fundamentally different types of…

Strongly Correlated Electrons · Physics 2017-10-11 Timothy H. Hsieh , Gábor B. Halász

Recent investigations into asymptotic symmetries of gauge theory and gravity have illuminated connections between gauge field zero-mode sectors, the corresponding soft factors, and their classically observable counterparts -- so called…

High Energy Physics - Theory · Physics 2019-10-25 Sabrina Pasterski

It has been known for some time that the asymptotic structure of spacetime and soft theorems are closely related. To study the structure of future null infinity, studying the classical soft graviton theorem is often quite helpful. The…

General Relativity and Quantum Cosmology · Physics 2023-12-01 Raikhik Das

The possibility that gauge theories with chiral symmetry breaking below the conformal window exhibit an infrared fixed point is explored. With this assumption three aspects of pion physics are reproduced if the the quark mass anomalous…

High Energy Physics - Phenomenology · Physics 2023-08-16 Roman Zwicky

In recent years, the concept of global symmetry has generalized considerably. Two dramatic examples of this generalization are the exotic symmetries that govern theories with fractons and non-invertible symmetries, which do not fuse…

High Energy Physics - Theory · Physics 2024-05-29 Ryan C. Spieler

We systematically examine all possible Gauss laws obeying spatial rotation symmetry, characterising the corresponding conserved charges. In the case of conserved higher moments, this gives rise to fractonic behaviour. We show that many…

High Energy Physics - Theory · Physics 2025-10-10 Erica Bertolini , Hyungrok Kim

We consider the concept of fractons as particles or quasiparticles which obey a specific fractal statistics in connection with a one-dimensional Luttinger liquid theory. We obtain a dual statistics parameter ${\tilde{\nu}}=\nu+1$ which is…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Wellington da Cruz

We review recent progress in determining the infrared singularity structure of on-shell scattering amplitudes in massless gauge theories. We present a simple ansatz where soft singularities of any scattering amplitude of massless partons,…

High Energy Physics - Phenomenology · Physics 2014-11-20 Einan Gardi , Lorenzo Magnea

The graphene superlattice equation, a modified sine-Gordon equation, governs the propagation of solitary electromagnetic waves in a graphene superlattice. This equation has kink solutions without explicit analytical expression, requiring…

Pattern Formation and Solitons · Physics 2021-08-04 Francisca Martin-Vergara , Francisco Rus , Francisco R. Villatoro
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