Carroll contractions of Lorentz-invariant theories
By M. Henneaux, Patricio Salgado-Rebolledo. Journal of High Energy Physics, 2021
151 citations recorded by the source corpus.
We consider Carroll-invariant limits of Lorentz-invariant field theories. We show that just as in the case of electromagnetism, there are two inequivalent limits, one “electric” and the other “magnetic”. Each can be obtained from the corresponding Lorentz-invariant theory written in Hamiltonian form through the same “contraction” procedure of taking the ultrarelativistic limit c → 0 where c is the speed of light, but with two different consistent rescalings of the canonical variables. This procedure can be applied to general Lorentz-invariant theories (p-form gauge fields, higher spin free theories etc) and has the advantage of providing explicitly an action principle from which the electrically-contracted or magnetically-contracted dynamics follow (and not just the equations of motion). Even though not manifestly so, this Hamiltonian action principle is shown to be Carroll invariant. In the case of p-forms, we construct explicitly an equivalent manifestly Carroll-invariant action principle for each Carroll contraction. While the manifestly covariant variational description of the electric contraction is rather direct, the one for the magnetic contraction is more subtle and involves an additional pure gauge field, whose elimination modifies the Carroll transformations of the fields. We also treat gravity, which constitutes one of the main motivations of our study, and for which we provide the two different contractions in Hamiltonian form.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/22750aaae5c4eb4d5fa69a491cc9e95e077ba41c
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Citations in the corpus
- Carroll Symmetry, Dark Energy and Inflation (2021, background): “As this work was nearing its completion the preprint [34] appeared.”
- Bridging Carrollian and celestial holography (2022, background): “In particular, this tells us that the propagator of source operators is u-dependent, which suggests that the source sector of the Carrollian CFT is a timelike electric-type of Carrollian theory [42,47,178,216,217].”