Relativistic fluids, superfluids, solids, and supersolids from a coset construction

Nicolis, Alberto; Penco, Riccardo; Rosen, Rachel A.

doi:10.1103/physrevd.89.045002

Cited by 153 publications

(264 citation statements)

References 23 publications

Supporting

Mentioning

256

Contrasting

Order By: Relevance

“…Analyses of screening in these models can be found in [197-200, 465, 466], along with studies of large-scale sctructure [467,468]. Away from cosmology, theories of this type have been used to model fluids and solids [469][470][471][472][473][474][475][476][477][478][479][480].…”

Section: Kinetic Screeningmentioning

confidence: 99%

Beyond the cosmological standard model

et al. 2015

View full text Add to dashboard Cite

After a decade and a half of research motivated by the accelerating universe, theory and experiment have a reached a certain level of maturity. The development of theoretical models beyond Λ or smooth dark energy, often called modified gravity, has led to broader insights into a path forward, and a host of observational and experimental tests have been developed. In this review we present the current state of the field and describe a framework for anticipating developments in the next decade. We identify the guiding principles for rigorous and consistent modifications of the standard model, and discuss the prospects for empirical tests.We begin by reviewing recent attempts to consistently modify Einstein gravity in the infrared, focusing on the notion that additional degrees of freedom introduced by the modification must "screen" themselves from local tests of gravity. We categorize screening mechanisms into three broad classes: mechanisms which become active in regions of high Newtonian potential, those in which first derivatives of the field become important, and those for which second derivatives of the field are important. Examples of the first class, such as f (R) gravity, employ the familiar chameleon or symmetron mechanisms, whereas examples of the last class are galileon and massive gravity theories, employing the Vainshtein mechanism. In each case, we describe the theories as effective theories and discuss prospects for completion in a more fundamental theory. We describe experimental tests of each class of theories, summarizing laboratory and solar system tests and describing in some detail astrophysical and cosmological tests. Finally, we discuss prospects for future tests which will be sensitive to different signatures of new physics in the gravitational sector.The review is structured so that those parts that are more relevant to theorists vs. observers/experimentalists are clearly indicated, in the hope that this will serve as a useful reference for both audiences, as well as helping those interested in bridging the gap between them.

show abstract

Section: Kinetic Screeningmentioning

confidence: 99%

Beyond the cosmological standard model

et al. 2015

View full text Add to dashboard Cite

show abstract

“…[11][12][13][14][15]. See also [16] for a discussion on spontaneous breaking of spacetime symmetries in condensed matter systems, [17,18] for a discussion on the coset construction for superfluids etc and [19][20][21][22] for more examples related to cosmology and gravity.…”

Section: Jhep10(2017)051mentioning

confidence: 99%

“…In order to construct invariant Lagrangians we again use the Maurer-Cartan form which now has the following structure 17) and transformation properties 18) i.e. the components (ω I ) µ do not transform covariantly and we must use the ω I to build invariant Lagrangians since now the coordinates transform.…”

Section: Jhep10(2017)051mentioning

confidence: 99%

See 1 more Smart Citation

Spontaneously broken spacetime symmetries and the role of inessential Goldstones

Klein

Roest

Stefanyszyn

2017

J. High Energ. Phys.

View full text Add to dashboard Cite

In contrast to internal symmetries, there is no general proof that the coset construction for spontaneously broken spacetime symmetries leads to universal dynamics. One key difference lies in the role of Goldstone bosons, which for spacetime symmetries includes a subset which are inessential for the non-linear realisation and hence can be eliminated. In this paper we address two important issues that arise when eliminating inessential Goldstones.The first concerns the elimination itself, which is often performed by imposing socalled inverse Higgs constraints. Contrary to claims in the literature, there are a series of conditions on the structure constants which must be satisfied to employ the inverse Higgs phenomenon, and we discuss which parametrisation of the coset element is the most effective in this regard. We also consider generalisations of the standard inverse Higgs constraints, which can include integrating out inessential Goldstones at low energies, and prove that under certain assumptions these give rise to identical effective field theories for the essential Goldstones.Secondly, we consider mappings between non-linear realisations that differ both in the coset element and the algebra basis. While these can always be related to each other by a point transformation, remarkably, the inverse Higgs constraints are not necessarily mapped onto each other under this transformation. We discuss the physical implications of this non-mapping, with a particular emphasis on the coset space corresponding to the spontaneous breaking of the Anti-De Sitter isometries by a Minkowski probe brane.

show abstract

“…At low energies, such system is described by a single real scalar field, φ, that shifts under U(1) and acquires a time-dependent expectation value φ = µt, with µ the chemical potential for the U(1) charge. This expectation value spontaneously breaks boosts, as well as U(1) and time translations down to the diagonal subgroup [8]. Nevertheless, this system admits a single Goldstone boson -the phonon -associated with fluctuations of φ around its background, φ = µt + π.…”

Section: Introductionmentioning

confidence: 99%

First sound in holographic superuids at zero temperature

Esposito

García-Sáenz

Penco

2016

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

Within the context of AdS/CFT, the gravity dual of an s-wave superfluid is given by scalar QED on an asymptotically AdS spacetime. While this conclusion is vastly supported by numerical arguments, here we provide an analytical proof that this is indeed the case. Working at zero temperature, we explicitly find the quadratic action for the superfluid phonon at the boundary in an arbitrary number of dimensions and for an arbitrary scalar field potential, recovering the known dispersion relation for conformal first sound.

show abstract

Relativistic fluids, superfluids, solids, and supersolids from a coset construction

Cited by 153 publications

References 23 publications

Beyond the cosmological standard model

Beyond the cosmological standard model

Spontaneously broken spacetime symmetries and the role of inessential Goldstones

First sound in holographic superuids at zero temperature

Contact Info

Product

Resources

About