Scalar field theories with polynomial shift symmetries

DOI10.1007/s00220-015-2461-2zbMath1328.81152arXiv1412.1046OpenAlexW3106167363MaRDI QIDQ748455

Ziqi Yan, Tom Griffin, Kevin T. Grosvenor, Petr Hořava

Publication date: 29 October 2015

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.1046

zbMATH Keywords

scalar field theorynonrelativistic quantum field theoryGalileon invariantsgraph-theoretical techniqueLifshitz type theoriesnonrelativistic gravityNumbu-Goldstone bosonspolynomial shift symmetries

Mathematics Subject Classification ID

Model quantum field theories (81T10) Gravitational interaction in quantum theory (81V17) Quantum field theory; related classical field theories (81T99)

Related Items (21)

Lie-algebraic classification of effective theories with enhanced soft limits ⋮ Gravity as a gapless phase and biform symmetries ⋮ The infrared structure of exceptional scalar theories ⋮ Shift symmetries and duality web in gauge theories ⋮ A periodic table of effective field theories ⋮ Extended Galilean symmetries of non-relativistic strings ⋮ Free \(\square^k\) scalar conformal field theory ⋮ Partially massless higher-spin theory ⋮ Renormalization of supersymmetric Lifshitz sigma models ⋮ Supersymmetric backgrounds in \((1 + 1)\) dimensions and inhomogeneous field theory ⋮ Matter couplings and equivalence principles for soft scalars ⋮ Shift symmetries in (anti) de Sitter space ⋮ On the conformal symmetry of exceptional scalar theories ⋮ On-shell recursion relations for nonrelativistic effective field theories ⋮ Symmetry breaking in holographic theories with Lifshitz scaling ⋮ Entanglement entropy in generalised quantum Lifshitz models ⋮ Exceptional nonrelativistic effective field theories with enhanced symmetries ⋮ Massive higher spins: effective theory and consistency ⋮ Shift-symmetric spin-1 theories ⋮ Nonrelativistic effective field theories with enhanced symmetries and soft behavior ⋮ Inflation in Flatland

Cites Work

• Conformal Lifshitz gravity from holography
• Anisotropic conformal infinity
• There are no Goldstone bosons in two dimensions
• General covariance in gravity at a Lifshitz point
• Hořava–Lifshitz cosmology: a review
• Goldstones with extended shift symmetries
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