4.4 Article

No-go for partially massless spin-2 Yang-Mills

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 2, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP02(2016)043

Keywords

Gauge Symmetry; Classical Theories of Gravity

Funding

  1. Government of Canada through Industry Canada
  2. Province of Ontario through the Ministry of Economic Development and Innovation
  3. John Templeton Foundation
  4. Kavli Institute for Cosmological Physics at the University of Chicago [NSF PHY-1125897]
  5. Robert R. McCormick Postdoctoral Fellowship
  6. Swiss National Science Foundation
  7. DOE [DE-SC0011941]
  8. Division Of Physics
  9. Direct For Mathematical & Physical Scien [1125897] Funding Source: National Science Foundation

Ask authors/readers for more resources

There are various no-go results forbidding self-interactions for a single partially massless spin-2 field. Given the photon-like structure of the linear partially massless field, it is natural to ask whether a multiplet of such fields can interact under an internal Yang-Mills like extension of the partially massless symmetry. We give two arguments that such a partially massless Yang-Mills theory does not exist. The first is that there is no Yang-Mills like non-abelian deformation of the partially massless symmetry, and the second is that cubic vertices with the appropriate structure constants do not exist.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.4
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

Article Astronomy & Astrophysics

Cutting out the cosmological middle man: general relativity in the light-cone coordinates

Ermis Mitsou, Giuseppe Fanizza, Nastassia Grimm, Jaiyul Yoo

Summary: Analytical computations in relativistic cosmology involve time evolution and observable reconstruction, which can be combined into a single computation in light-cone coordinates. This approach allows for a direct link between initial conditions and observables, bypassing the need for FLRW coordinates and providing good control over the geometrical interpretation of the involved quantities. Additionally, implementing statistical homogeneity on stochastic fluctuations is possible despite the coordinate system privileging the observer world-line.

CLASSICAL AND QUANTUM GRAVITY (2021)

Article Astronomy & Astrophysics

On the Coupling of Generalized Proca Fields to Degenerate Scalar-Tensor Theories

Sebastian Garcia-Saenz

Summary: Our analysis shows that coupling between vector fields described by the generalized Proca class of theories and a gravitational sector defined by a scalar-tensor theory of the degenerate type leads to the loss of at least one constraint associated with the scalar-tensor sector.

UNIVERSE (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 Astronomy & Astrophysics

Cosmology of Extended Proca-Nuevo

Claudia de Rham, Sebastian Garcia-Saenz, Lavinia Heisenberg, Victor Pozsgay

Summary: Proca-Nuevo is a non-linear theory of a massive spin-1 field that can be extended by adding operators from the Generalized Proca class. This extension maintains the primary constraint necessary for consistency and allows for interpolation between Generalized Proca operators and Proca-Nuevo ones. When mixed with gravity, the constraint is broken in a Planck scale suppressed way. The theory can be covariantized in models that allow for consistent and ghost-free cosmological solutions, and it accurately describes the dynamics and dispersion relations of perfect fluid matter. Specific solutions exhibit hot Big Bang scenarios with a late-time self-accelerating epoch, where gravitational waves behave similarly to General Relativity.

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS (2022)

Article Astronomy & Astrophysics

The spatial gauge-dependence of single-field inflationary bispectra

Ermis Mitsou, Jaiyul Yoo

Summary: This letter explores the effects of spatial gauge on bispectra in single-field inflationary models. The authors compute the variation of bispectra under a general spatial gauge transformation and derive a generalization of the consistency relations in the squeezed configuration. They find that the transformation only affects cases where the long mode is a scalar at leading order in the long wave-number.

PHYSICS LETTERS B (2022)

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

Schwarzschild quasi-normal modes of non-minimally coupled vector fields

Sebastian Garcia-Saenz, Aaron Held, Jun Zhang

Summary: This study investigates perturbations of massive and massless vector fields on a Schwarzschild black-hole background, with a focus on non-minimal coupling between the vector field and the curvature. The quasi-normal mode spectrum of the vector field is determined, and solutions corresponding to quasi-bound states and static configurations are considered.

JOURNAL OF HIGH ENERGY PHYSICS (2022)

Article Astronomy & Astrophysics

Large gauge transformations, local coordinates and cosmological observables

Ermis Mitsou, Jaiyul Yoo

Summary: In cosmology, new types of coordinate transformations have emerged, which introduce ambiguity in cosmological modeling. However, this ambiguity is irrelevant for comparing models with observations, as the cosmological observable relations are invariant under all these transformations. It is important to consider all relativistic contributions to observables, which is not commonly done in the literature.

CLASSICAL AND QUANTUM GRAVITY (2022)

Article Astronomy & Astrophysics

Non-Gaussianity in the squeezed three-point correlation from the relativistic effects

Jaiyul Yoo, Nastassia Grimm, Ermis Mitsou

Summary: This study investigates the three-point correlation function of observed matter density fluctuations in a squeezed triangular configuration in a Lambda CDM universe under a single-field inflationary scenario. The study finds that the theoretical descriptions of galaxy bias in general relativity are incomplete due to ambiguities in spatial gauge choice, and a proper relativistic description of galaxy bias is needed for definitive conclusions in galaxy clustering. Additionally, it demonstrates that gauge-invariant calculations of cosmological observables are unaffected by extra coordinate transformations and that relativistic effects associated with light propagation cancel each other.

JOURNAL OF COSMOLOGY AND ASTROPARTICLE 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 Astronomy & Astrophysics

No-go theorem for scalar-trispectrum-induced gravitational waves

Sebastian Garcia-Saenz, Lucas Pinol, Sebastien Renaux-Petel, Denis Werth

Summary: We demonstrate that the contribution of the primordial trispectrum to the scalar-induced stochastic gravitational wave background is limited in conventional inflationary scenarios. Scale-invariant theories with regular or local trispectrum shapes cannot significantly contribute due to their smallness compared to the relative one-loop correction of the scalar power spectrum. Additionally, a toy model for a scale-dependent scalar spectrum confirms the robustness of our no-go result.

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)

No Data Available