Effective field theory for spacetime symmetry breaking

Hidaka, Yoshimasa; Noumi, Toshifumi; Shiu, Gary

doi:10.1103/physrevd.92.045020

Cited by 31 publications

(48 citation statements)

References 72 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(61, 79,80,81)). More generally, the reduction of independent degrees of freedom for space-time symmetries through this mechanism is called the inverse-Higgs effect (78,82,83,84,85). This, however, fails to explain the situations which there is no unbroken continuous translation symmetries.…”

Section: Other Spatial Symmetriesmentioning

confidence: 99%

Counting Rules of Nambu–Goldstone Modes

Watanabe

2020

Annu. Rev. Condens. Matter Phys.

View full text Add to dashboard Cite

When global continuous symmetries are spontaneously broken, there appear gapless collective excitations called Nambu-Goldstone modes (NGMs) that govern the low-energy property of the system. The application of this famous theorem ranges from high-energy, particle physics to condensed matter and atomic physics. When a symmetry breaking occurs in systems that lack the Lorentz invariance to start with, as is usually the case in condensed matter systems, the number of resulting NGMs can be fewer than that of broken symmetry generators, and the dispersion of NGMs is not necessarily linear. In this article, we review recently established formulae for NGMs associated with broken internal symmetries that work equally for relativistic and nonrelativistic systems. We also discuss complexities of NGMs originating from spacetime symmetry breaking. Along the way we cover many illuminating examples from various context. We also present a complementary point of view from the Lieb-Schultz-Mattis theorem.

show abstract

Section: Other Spatial Symmetriesmentioning

confidence: 99%

Counting Rules of Nambu–Goldstone Modes

Watanabe

2020

Annu. Rev. Condens. Matter Phys.

View full text Add to dashboard Cite

show abstract

“…A systematic way of quantizing such a gauged system is well developed in the path integral formulation [12,13]. Inflationary cosmology concerns with the behavior of scalar fields under gravity, which has an invariance under general coordinate transformation (or diffeomorphism) as a gauge symmetry [14]. In this regard, the path integral formalism is well suited to study the quantum behavior in inflationary cosmology.…”

Section: Jhep07(2016)099mentioning

confidence: 99%

Path integral for multi-field inflation

Gong

Seo

Shiu

2016

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

Abstract:We develop the path integral formalism for studying cosmological perturbations in multi-field inflation, which is particularly well suited to study quantum theories with gauge symmetries such as diffeomorphism invariance. We formulate the gauge fixing conditions based on the Poisson brackets of the constraints, from which we derive two convenient gauges that are appropriate for multi-field inflation. We then adopt the in-in formalism to derive the most general expression for the power spectrum of the curvature perturbation including the corrections from the interactions of the curvature mode with other light degrees of freedom. We also discuss the contributions of the interactions to the bispectrum.

show abstract

“…Their applications can be found in e.g. [54,55]. For our purposes, φ μ and φ μ now can be divided into temporal and spatial parts as…”

Section: Anisotropic Disformal Transformation In Newton-cartan Geometrymentioning

confidence: 99%

Disformal transformation in Newton–Cartan geometry

Huang

Yuan

2016

Eur. Phys. J. C

View full text Add to dashboard Cite

Newton-Cartan geometry has played a central role in recent discussions of the non-relativistic holography and condensed matter systems. Although the conformal transformation in non-relativistic holography can easily be rephrased in terms of Newton-Cartan geometry, we show that it requires a nontrivial procedure to arrive at the consistent form of anisotropic disformal transformation in this geometry. Furthermore, as an application of the newly obtained transformation, we use it to induce a geometric structure which may be seen as a particular non-relativistic version of the Weyl integrable geometry.

show abstract

Effective field theory for spacetime symmetry breaking

Cited by 31 publications

References 72 publications

Counting Rules of Nambu–Goldstone Modes

Counting Rules of Nambu–Goldstone Modes

Path integral for multi-field inflation

Disformal transformation in Newton–Cartan geometry

Contact Info

Product

Resources

About