Note on a description of a perfect fluid by the Kalb–Ramond field

Matsuo, Yutaka; Sugamoto, Akio

doi:10.1093/ptep/ptab064

Cited by 5 publications

(2 citation statements)

References 15 publications

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“…[10][11][12][13]). The relevance of Kalb-Ramond theory is now pervading condensed matter physics, where emerging Kalb-Ramond fields have been found in quantum liquid crystals [14], semiconductor-metal hybrids [15], and fluids [16].…”

Section: Introductionmentioning

confidence: 99%

Classical Kalb-Ramond field theory in curved spacetimes

Berche,

Fumeron,

Moraes

2022

Preprint

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We propose to develop the Kalb-Ramond theory in four-dimensional spacetime at the level of a classical field theory by following the same formal development steps as in Maxwell theory of standard electrodynamics. Solutions of Kalb-Ramond theory in the presence of static sources in various curved spacetimes are then analyzed. A question that we address here is that of a possible Kalb-Ramond polarization in curved spacetimes, like one can encounter a dielectric polarization in ordinary Maxwell electrodynamics in certain types of spacetimes.

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Section: Introductionmentioning

confidence: 99%

Classical Kalb-Ramond field theory in curved spacetimes

Berche,

Fumeron,

Moraes

2022

Preprint

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“…For instance, these equations for the theory without self-interactions of the Kalb-Ramond field (i.e. FY = 1) have been used in[23] to show a formal resemblance with the Euler equations, thus providing a description of a perfect fluid with a Kalb-Ramond field.…”

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confidence: 99%

Some disquisitions on cosmological 2-form dualities

Aoki

Jiménez

Figueruelo

2023

J. Cosmol. Astropart. Phys.

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In this work we study different aspect of self-interacting 2-form fields with special emphasis in their cosmological applications. We provide the explicit construction of how massless 2-forms are compatible with the cosmological principle without resorting to the dual scalar field formulation. In terms of the 2-form, the residual Euclidean group is non-trivially realised by means of a combination of external spatial translations and internal gauge transformations. After presenting the general discussion of the dualities in cosmological scenarios, we analyse particular examples for some singular models and discuss in some detail the dual descriptions of the DBI, the cuscuton and the ghost condensate as well as the role of the duality in the effective field theories of cosmological perturbations. We then proceed to analysing scenarios with several self-interacting massless 2-forms and we show that they naturally provide the dual description of a solid. We then show how the perfect fluid and superfluids can be obtained by taking the appropriate limits in the dual formulations. We finally consider the case of massive 2-forms and their duals and briefly discuss their potential signatures in gravitational waves astronomy.

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Renormalized Kalb-Ramond model: Duality and generalized potential

de Gracia

2024

Nuclear Physics B

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Note on a description of a perfect fluid by the Kalb–Ramond field

Cited by 5 publications

References 15 publications

Classical Kalb-Ramond field theory in curved spacetimes

Classical Kalb-Ramond field theory in curved spacetimes

Some disquisitions on cosmological 2-form dualities

Renormalized Kalb-Ramond model: Duality and generalized potential

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