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Motivated by the prediction of fractonic topological defects in a quantum crystal, we utilize a reformulated elasticity duality to derive a description of a fracton phase in terms of coupled vector U(1) gauge theories. The fracton order and…

Strongly Correlated Electrons · Physics 2020-02-12 Leo Radzihovsky , Michael Hermele

In experiments searching for a nonzero electric dipole moment of trapped particles, frequency shifts correlated with an applied electric field can be interpreted as a false signal. One such effect, referred to as the geometric phase effect,…

Nuclear Experiment · Physics 2012-05-03 Guillaume Pignol , Stephanie Roccia

Due to the recent studies of the fracton topological phases, which host deconfined quasi-particle excitations with mobility restrictions, the concept of symmetries have been updated. Focusing on one of such new symmetries, multipole…

Strongly Correlated Electrons · Physics 2024-05-24 Hiromi Ebisu , Masazumi Honda , Taiichi Nakanishi

We formulate a covariant version of Maxwell-like fracton electrodynamics in six dimensions using a symmetric tensor gauge field with scalar gauge symmetry $\delta A_{\mu\nu}=\partial_\mu\partial_\nu\Lambda$. This provides a relativistic…

High Energy Physics - Theory · Physics 2026-04-20 Nicola Maggiore

Fractal geometries, characterized by self-similar patterns and non-integer dimensions, provide an intriguing platform for exploring topological phases of matter. In this work, we introduce a theoretical framework that leverages isospectral…

Mesoscale and Nanoscale Physics · Physics 2024-11-20 L. Eek , Z. F. Osseweijer , C. Morais Smith

The "gravitational memory effect" due to an exact plane wave provides us with an elementary description of the diffeomorphisms associated with soft gravitons. It is explained how the presence of the latter may be detected by observing the…

General Relativity and Quantum Cosmology · Physics 2017-10-02 P. -M. Zhang , C. Duval , G. W. Gibbons , P. A. Horvathy

A density functional theory of two-dimensional freezing is presented for a soft interaction potential that scales as inverse cube of particle distance. This repulsive potential between parallel, induced dipoles is realized for paramagnetic…

Soft Condensed Matter · Physics 2009-05-28 Sven van Teeffelen , Christos N. Likos , Norman Hoffmann , Hartmut Löwen

It is shown that the fictitious infrared pole is eliminated from the hot gauge theory which acquires a new vacuum after the global gauge symmetry spontaneously breaking. The nonzero W-condensate is generated and leads to the screening of…

High Energy Physics - Phenomenology · Physics 2010-11-01 O. K. Kalashnikov

We consider the theory of a generic rank-2 tensor field in three spacetime dimensions, which involves a symmetric tensor field transforming under infinitesimal diffeomorphisms, and a vector field, whose gauge transformation depends on a…

High Energy Physics - Theory · Physics 2025-02-03 Erica Bertolini , Alberto Blasi , Nicola Maggiore

A paradigm shift of the fracton physics research is established by providing a covariant formulation of the action. For the first time, fracton gauge symmetries are connected with the global symmetries of the free dynamics. A Galileon…

General Physics · Physics 2022-03-01 Sk. Moinuddin , Pradip Mukherjee

In this letter we show that the soft behaviour of photons and graviton amplitudes, after projection, can be determined to infinite order in soft expansion via ordinary on-shell gauge invariance. In particular, as one of the particle's…

High Energy Physics - Theory · Physics 2018-08-15 Zhi-Zhong Li , Hung-Hwa Lin , Shun-Qing Zhang

A progress report on two recent theoretical approaches proposed to understand the physics of irreversible fractal aggregates showing up a structural transition from a rather dense to a more multibranched growth is presented. In the first…

Condensed Matter · Physics 2008-08-31 E. Canessa

We examine the structure of infrared singularities in QCD and quantum General Relativity, from the point of view of the recently conjectured double copy property which relates scattering amplitudes in non-Abelian gauge theories with…

High Energy Physics - Theory · Physics 2015-06-11 S. Oxburgh , C. D. White

We formulate a fracton-elasticity duality for twisted moir\'e superlattices, taking into account that they are incommensurate crystals with dissipative phason dynamics. From a dual tensor-gauge formulation, as compared to standard crystals,…

Strongly Correlated Electrons · Physics 2021-08-17 Jonas Gaa , Grgur Palle , Rafael M. Fernandes , Jörg Schmalian

The soft photon and soft graviton theorems of Weinberg are known to derive from conservation laws associated with asymptotic symmetries. Within the corresponding classical theories, one often speaks of spontaneous symmetry breaking and…

High Energy Physics - Theory · Physics 2025-07-10 Shreyansh Agrawal , Kevin Nguyen

There has been a surge of interest in effective non-Lorentzian theories of excitations with restricted mobility, known as fractons. Examples include defects in elastic materials, vortex lattices or spin liquids. In the effective theory…

High Energy Physics - Theory · Physics 2021-12-23 Kevin T. Grosvenor , Carlos Hoyos , Francisco Peña-Benitez , Piotr Surówka

We discuss information-theoretic properties of low-energy photons and gravitons in the S-matrix. Given an incoming n-particle momentum eigenstate, we demonstrate that unobserved soft photons decohere nearly all outgoing momentum…

High Energy Physics - Theory · Physics 2017-11-08 Daniel Carney , Laurent Chaurette , Dominik Neuenfeld , Gordon Walter Semenoff

Motivated by the recently established duality between elasticity of crystals and a fracton tensor gauge theory, we combine it with boson-vortex duality, to explicitly account for bosonic statistics of the underlying atoms. We thereby derive…

Strongly Correlated Electrons · Physics 2019-01-11 Michael Pretko , Leo Radzihovsky

We employ density functional theory to study in detail the crystallization of super-paramagnetic particles in two dimensions under the influence of an external magnetic field that lies perpendicular to the confining plane. The field induces…

Soft Condensed Matter · Physics 2009-11-13 Sven van Teeffelen , Hartmut Löwen , Christos N. Likos

It is widely known that the primordial curvature perturbation $\zeta$ has several universal properties in the infrared (IR) such as the soft theorem, which is also known as the consistency relation, and the conservation in time. They are…

High Energy Physics - Theory · Physics 2017-11-22 Takahiro Tanaka , Yuko Urakawa