4.4 Article

Galileons as Wess-Zumino terms

期刊

JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 6, 页码 -

出版社

SPRINGER
DOI: 10.1007/JHEP06(2012)004

关键词

Space-Time Symmetries; Global Symmetries

资金

  1. Department of Energy [DE-FG05-95ER40893-A020]
  2. NSF [PHY-0930521]
  3. NASA ATP [NNX08AH27G, NNX11AI95G]
  4. Fay R. and Eugene L. Langberg chair
  5. Direct For Mathematical & Physical Scien
  6. Division Of Physics [930521] Funding Source: National Science Foundation

向作者/读者索取更多资源

We show that the galileons can be thought of as Wess-Zumino terms for the spontaneous breaking of space-time symmetries. Wess-Zumino terms are terms which are not captured by the coset construction for phenomenological Lagrangians with broken symmetries. Rather they are, in d space-time dimensions, d-form potentials for (d + 1)-forms which are non-trivial co-cycles in Lie algebra cohomology of the full symmetry group relative to the unbroken symmetry group. We introduce the galileon algebras and construct the non-trivial (d + 1)-form co-cycles, showing that the presence of galileons and multi-galileons in all dimensions is counted by the dimensions of particular Lie algebra cohomology groups. We also discuss the DBI and conformal galileons from this point of view, showing that they are not Wess-Zumino terms, with one exception in each case.

作者

我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。

评论

主要评分

4.4
评分不足

次要评分

新颖性
-
重要性
-
科学严谨性
-
评价这篇论文

推荐

Article Astronomy & Astrophysics

Neutrino-assisted early dark energy: theory and cosmology

Mariana Carrillo Gonzalez, Qiuyue Liang, Jeremy Sakstein, Mark Trodden

Summary: The tension between measurements of the Hubble constant at different redshifts may indicate new physics at play in the early universe, potentially involving early dark energy and scalar field interactions with standard model neutrinos. A neutrino-assisted early dark energy model is proposed to explain the coincidence between different epochs, with detailed analysis and constraints needed for validation. This scenario opens up new avenues for testing using cosmological data sets.

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS (2021)

Article Astronomy & Astrophysics

Ladder symmetries of black holes. Implications for love numbers and no-hair theorems

Lam Hui, Austin Joyce, Riccardo Penco, Luca Santoni, Adam R. Solomon

Summary: This article investigates the tidal response of asymptotically flat black holes in general relativity and finds that the response is zero due to the linear symmetries governing static perturbations around the black holes. These symmetries have a geometric origin and a ladder structure that can be used to construct the complete set of solutions and derive their general properties. It is shown that solutions spontaneously break the symmetries when they decay with radius and respect the symmetries when they are regular at the horizon. These properties imply that tidal response coefficients, including Love numbers, vanish, which is consistent with the absence of black holes with linear hair. Furthermore, the manifestation of these symmetries in the effective point particle description of a black hole is discussed, demonstrating that couplings associated with non-trivial tidal response and scalar hair must vanish for the symmetries to be preserved.

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS (2022)

Article Physics, Multidisciplinary

The Cosmological Bootstrap: Spinning correlators from symmetries and factorization

Daniel Baumann, Carlos Duaso Pueyo, Austin Joyce, Hayden Lee, Guilherme L. Pimentel

Summary: This research extends the cosmological bootstrap to correlators involving massless spinning particles, focusing on spin-1 and spin-2 fields. By solving Ward identities using weight-shifting operators acting on scalar seed solutions, three- and four-point correlators of massless spin-1 and spin-2 fields with conformally coupled scalars are derived. Locality constraints for massless spinning particles manifest as current conservation on the boundary, imposing nontrivial constraints on the couplings between conserved currents and other operators. The study also applies these methods to slow-roll inflation, deriving phenomenologically relevant scalar-tensor three-point functions.

SCIPOST PHYSICS (2021)

Article Physics, Particles & Fields

Exceptional scalar theories in de Sitter space

James Bonifacio, Kurt Hinterbichler, Austin Joyce, Diederik Roest

Summary: This study examines certain aspects of the special galileon and DBI theories in curved space. For the special galileon theory, a new compact expression for its Lagrangian in de Sitter space is discovered, along with a field redefinition that relates it to the previous, more complex formulation. This field redefinition simplifies into the well-studied galileon duality redefinition in the flat space limit. For the DBI theory in de Sitter space, the brane and dilaton formulations are discussed and strong evidence is presented to suggest that they are related by a field redefinition. Additionally, an interpretation of the symmetries of these theories in terms of broken diffeomorphisms of de Sitter space is provided.

JOURNAL OF HIGH ENERGY PHYSICS (2022)

Article Physics, Particles & Fields

Double copy for massive scalar field theories

Mariana Carrillo Gonzalez, Qiuyue Liang, Mark Trodden

Summary: We explore the application of the double copy to massive theories and discover a new cubic theory with a local double copy. By reducing the nonlinear Sigma model and the special Galileon theory from five dimensions to four, we establish a double copy relation between the resulting massive scalar field theories. We also find a new cubic interaction that satisfies the BCJ relations up to 5-point amplitudes.

JOURNAL OF HIGH ENERGY PHYSICS (2022)

Article Physics, Particles & Fields

Integrating out beyond tree level and relativistic superfluids

Austin Joyce, Alberto Nicolis, Alessandro Podo, Luca Santoni

Summary: The text discusses the subtleties of renormalization that arise when deriving a low-energy effective action by integrating out heavy fields of a more complete theory. It provides a concrete example of applying this method to derive the U(1) Goldstone low-energy effective theory and the one-loop equation of state for the superfluid phase of (complex) phi(4). Additionally, it analyzes a renormalizable scalar SO(N) theory at finite chemical potential, demonstrating the absence of the original SO(N) symmetry in the effective theory for the gapless Goldstone.

JOURNAL OF HIGH ENERGY PHYSICS (2022)

Article Physics, Particles & Fields

Linking the singularities of cosmological correlators

Daniel Baumann, Wei-Ming Chen, Carlos Duaso Pueyo, Austin Joyce, Hayden Lee, Guilherme L. Pimentel

Summary: This paper studies rational correlators, including those of gauge fields, gravitons, and the inflaton. By analytic continuation, using the constraints of unitarity and recursion relations, the singularities of correlators can be revealed, and the full correlators can be efficiently bootstrapped in flat space.

JOURNAL OF HIGH ENERGY PHYSICS (2022)

Article Physics, Particles & Fields

Near-zone symmetries of Kerr black holes

Lam Hui, Austin Joyce, Riccardo Penco, Luca Santoni, Adam R. Solomon

Summary: We study the near-zone symmetries of a massless scalar field on four-dimensional black hole backgrounds and provide a geometric understanding that unifies various recently discovered symmetries as part of an SO(4, 2) group. A subset of these symmetries corresponds to the static sector and leads to the ladder symmetries responsible for the vanishing of Love numbers. We compare different near-zone approximations in the literature for the Kerr case and focus on the implementation that retains the symmetries of the static limit. We also describe the relation to spin-1 and 2 perturbations.

JOURNAL OF HIGH ENERGY PHYSICS (2022)

Article Physics, Nuclear

Exploring 2+2 answers to 3+1 questions

Jonathan J. Heckman, Austin Joyce, Jeremy Sakstein, Mark Trodden

Summary: This article explores the potential uses of physics in Kleinian signature spacetimes (2 + 2) to understand the properties of physics in Lorentzian signature (3 + 1). Similar to how Euclidean signature quantities can be used to construct the ground state wavefunction of a Lorentzian quantum field theory, an analytic continuation to Kleinian signature can construct a low particle flux state. The existence of a natural supersymmetry algebra in 2 + 2 signature can also constrain the structure of correlation functions. The spontaneous breaking of Lorentz symmetry can produce various MATHEMATICAL SCRIPT CAPITAL N?=1/2 supersymmetry algebras in 3 + 1 signature, which correspond to nonsupersymmetric systems. Speculation is made on the possible role of these structures in addressing the cosmological constant problem.

INTERNATIONAL JOURNAL OF MODERN PHYSICS A (2023)

Article Astronomy & Astrophysics

Stability of hairy black holes in shift-symmetric scalar-tensor theories via the effective field theory approach

Justin Khoury, Toshifumi Noumi, Mark Trodden, Sam S. C. Wong

Summary: Shift-symmetric Horndeski theories exhibit a class of Schwarzschild-de Sitter black hole solutions with time-dependent scalar hair. Lemaitre-type coordinates are used to study the properties of these solutions, where the profile of the Horndeski scalar field is linear in the relevant time coordinate. An effective field theory (EFT) is constructed to understand the stability of hairy black holes in shift-symmetric Horndeski theories and provide constraints for stable black hole solutions. The EFT is analyzed in the decoupling limit to identify potential sources of instability and a complete analysis is performed for odd-parity linear perturbations in spherically symmetric spacetime.

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS (2023)

Article Physics, Particles & Fields

Gravity as a gapless phase and biform symmetries

Kurt Hinterbichler, Diego M. Hofman, Austin Joyce, Gregoire Mathys

Summary: We study effective field theories (EFTs) with biform symmetries, characterized by conserved electric current and, in certain cases, a topological magnetic current with an anomalous conservation law. We prove that the mixed anomaly uniquely determines the two-point function between the electric and magnetic currents, and show the presence of a massless mode protected by the anomaly. Additionally, the anomaly leads to a universal form of the EFT dominated by a relevant term resembling the linear Einstein action.

JOURNAL OF HIGH ENERGY PHYSICS (2023)

Article Physics, Particles & Fields

Soft limits of the wavefunction in exceptional scalar theories

Noah Bittermann, Austin Joyce

Summary: We study the structure of the flat space wavefunctional in scalar field theories with nonlinearly realized symmetries. These symmetries imply soft theorems that are satisfied by wavefunction coefficients in the limit where one of the external momenta is scaled to zero. We combine these soft theorems with information about the singularity structure of the wavefunction to bootstrap the wavefunction coefficients of these theories, and systematize this construction through recursion relations.

JOURNAL OF HIGH ENERGY PHYSICS (2023)

Article Astronomy & Astrophysics

EFT of conformal symmetry breaking

Kurt Hinterbichler, Qiuyue Liang, Mark Trodden

Summary: Conformal symmetry can break spontaneously in the presence of defects or other backgrounds, resulting in a symmetry-breaking VEV for certain scalar operators. We analyze the effective field theory of fluctuations around these backgrounds and find that it can be expanded in inverse powers of the VEV, with leading corrections computed. We specifically focus on spacelike defects in a four-dimensional Lorentzian theory relevant to the pseudoconformal universe scenario, but the conclusions can be extended to other types of defects and the breaking of conformal symmetry to Poincare symmetry.

PHYSICAL REVIEW D (2023)

Article Astronomy & Astrophysics

Well-posed UV completion for simulating scalar Galileons

Mary Gerhardinger, John T. Jr Jr Giblin, Andrew J. Tolley, Mark Trodden

Summary: The Galileon scalar field theory, which exhibits the Vainshtein screening mechanism, has implications for predictions of gravitational waves and tests of gravity. The derivative nature of their interactions poses a challenge in effective field theories but can be overcome through numerical simulations.

PHYSICAL REVIEW D (2022)

Article Astronomy & Astrophysics

Chameleon early dark energy and the Hubble tension

Tanvi Karwal, Marco Raveri, Bhuvnesh Jain, Justin Khoury, Mark Trodden

Summary: Early dark energy (EDE) provides a theoretical approach to address the Hubble tension, but it brings its own challenges related to dark matter and large-scale structure. To overcome these challenges, we propose a mechanism called chameleon early dark energy (CEDE), which involves couplings between EDE and dark matter.

PHYSICAL REVIEW D (2022)

暂无数据