Snowmass White Paper: Effective Field Theories for Condensed Matter Systems

Brauner, Tomáš; Hartnoll, Sean A.; Kovtun, Pavel; Liu, Hong; Nicolis, Alberto; Penco, Riccardo; Shao, Shu-Heng; Son, D.

doi:10.48550/arxiv.2203.10110

Cited by 7 publications

(10 citation statements)

References 207 publications

(236 reference statements)

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“…A novel kind of global symmetry, known as subsystem global symmetry, has featured prominently in many condensed matter systems, including the gapless model of [130] and many gapped fracton models [131][132][133]. (See [134][135][136] for reviews on fractons, and [137] for a Snowmass white paper on field theories for fractons.) Subsystem symmetry is similar to the higher-form symmetry, but they differ in important ways (see [138,139] for related discussions).…”

Section: Subsystem Symmetries and Fractonsmentioning

confidence: 99%

Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond

Córdova¹,

Dumitrescu²,

Intriligator³

et al. 2022

Preprint

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Symmetry plays a central role in quantum field theory. Recent developments include symmetries that act on defects and other subsystems, and symmetries that are categorical rather than group-like. These generalized notions of symmetry allow for new kinds of anomalies that constrain dynamics. We review some transformative instances of these novel aspects of symmetry in quantum field theory, and give a broad-brush overview of recent applications.

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Section: Subsystem Symmetries and Fractonsmentioning

confidence: 99%

Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond

Córdova¹,

Dumitrescu²,

Intriligator³

et al. 2022

Preprint

Self Cite

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“…Moreover, there is a group homomorphism ψ : Jac(Γ) → U (1) such that ψ(S i 0 (i)) = ψ(S i 0 (i )). 16 So, ψ • S i 0 is a U (1)-valued discrete harmonic function that takes different values at i and i . It follows that a particle cannot move from i to i .…”

Section: 15)mentioning

confidence: 99%

“…In particular, the gapped fracton models do not admit a topological quantum field theory (TQFT) description at low energies. Instead, one has to go beyond the standard relativistic continuum field theory to describe them (see, for example, [16] for a recent review, and references therein).…”

Section: Introductionmentioning

confidence: 99%

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Fractons on Graphs and Complexity

Gorantla,

Lam,

Shao

2022

Preprint

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We introduce two exotic lattice models on a general spatial graph. The first one is a matter theory of a compact Lifshitz scalar field, while the second one is a certain rank-2 U (1) gauge theory of fractons. Both lattice models are defined via the discrete Laplacian operator on a general graph. We unveil an intriguing correspondence between the physical observables of these lattice models and graph theory quantities. For instance, the ground state degeneracy of the matter theory equals the number of spanning trees of the spatial graph, which is a common measure of complexity in graph theory ("GSD = complexity"). The discrete global symmetry is identified as the Jacobian group of the graph. In the gauge theory, superselection sectors of fractons are in one-to-one correspondence with the divisor classes in graph theory. In particular, under mild assumptions on the spatial graph, the fracton immobility is proven using a graph-theoretic Abel-Jacobi map.

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“…Similar questions also show up in applications of EFT to condensed matter, for instance how scale separation works in non-equilibrium systems. See the Snowmass whitepaper[31] for a review and a complete set of references.…”

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confidence: 99%

Effective field theories of gravity and compact binary dynamics: A Snowmass 2021 whitepaper

Goldberger¹

2022

Preprint

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In this whitepaper, I describe modern applications of effective field theory (EFT) techniques to classical and quantum gravity, with relevance to problems in astrophysics and cosmology. As in applications of EFT to high-energy, nuclear, or condensed matter physics, the Wilsonian paradigm based on decoupling of short distance scales via renormalization group evolution remains a powerful organizing principle in the context of gravity. However, the presence of spacetime geometry brings in new elements (e.g. nontrivial time-dependence, cosmological or black hole event horizons) which necessitate the introduction of novel field theoretic methods not usually encountered in applications of EFTs to physics at the energy and intensity frontiers. After a brief overview of recent developments in the application of EFT methods to gravity, I will focus on the EFT description of compact binary dynamics, including an overview of some of its applications to the experimental program in gravitational wave detection at LIGO/VIRGO and other observatories.

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Snowmass White Paper: Effective Field Theories for Condensed Matter Systems

Cited by 7 publications

References 207 publications

Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond

Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond

Fractons on Graphs and Complexity

Effective field theories of gravity and compact binary dynamics: A Snowmass 2021 whitepaper

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