Dynamics of Carroll particles

By Eric Bergshoeff, Joaquim Gomis, G. Longhi. 2014

153 citations recorded by the source corpus.

We investigate particles whose dynamics are invariant under the Carroll group. Although a single, free such Carroll particle has no non-trivial dynamics (the Carroll particle does not move), we show that non-trivial dynamics exists for a set of interacting Carroll particles. Furthermore, we gauge the Carroll algebra and couple the Carroll particle to these gauge fields. It turns out that for such a coupled system, even a single Carroll particle can have non-trivial dynamics.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/7f569480ec741ec201508beb87644de277c21755

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In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Carroll contractions of Lorentz-invariant theories (2021, background): “1The wave equation obtained after integrating out πφ in the electric case has been considered in [32].”
Gauging the Carroll algebra and ultra-relativistic gravity (2015, background): “For an earlier discussion of gauging the Carroll algebra see [38].”
Carroll versus Galilei gravity (2017, background): “This equation of motion has appeared in a first order form in [28].”
Covariant Galilean versus Carrollian hydrodynamics from relativistic fluids (2018, background): “light, the light-cone collapses to a line and no motion is allowed – the freedom of choosing a frame is as big as for Galilean physics though. In particular, the single particle has degenerate motion [14], but extended instantonic1 objectsdostillexistand have non-trivial dynamics,makingthisframework”