2023
DOI: 10.1007/jhep01(2023)167
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Non-Lorentzian theories with and without constraints

Abstract: We exhibit a new method of constructing non-Lorentzian models by applying a method we refer to as starting from a so-called seed Lagrangian. This method typically produces additional constraints in the system that can drastically alter the physical content of the model. We demonstrate our method for particles, scalars and vector fields.

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Cited by 17 publications
(2 citation statements)
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“…This implies the KS formalism is the natural 3+1 decomposition to use in the non-relativistic or galilean limit, while the ADM formalism is well suited for the ultra-relativistic or carrolian limit. This interpretation suggests a link between KS/ADM duality and Galilei/Carroll duality [32][33][34][35][36]. In the ADM, respectively KS, formalism the Lorentzian metric takes the form (2.9), respectively (2.13) where the fields (N, N i , h ij ) respectively (M, C i , h ij ) are functions of both time t and space, x i .…”
Section: Jhep02(2023)108 6 Discussionmentioning
confidence: 95%
“…This implies the KS formalism is the natural 3+1 decomposition to use in the non-relativistic or galilean limit, while the ADM formalism is well suited for the ultra-relativistic or carrolian limit. This interpretation suggests a link between KS/ADM duality and Galilei/Carroll duality [32][33][34][35][36]. In the ADM, respectively KS, formalism the Lorentzian metric takes the form (2.9), respectively (2.13) where the fields (N, N i , h ij ) respectively (M, C i , h ij ) are functions of both time t and space, x i .…”
Section: Jhep02(2023)108 6 Discussionmentioning
confidence: 95%
“…The kind of spacetime geometry that implements these symmetries locally is sometimes referred to as Aristotelian. See [64,65] for some early work on coupling matter to Aristotelian spacetime background, [66,67] for more recent work in the context of fractons, and finally the recent review [68] of non-Lorentzian geometry for the bigger picture. A (d + 1)-dimensional manifold is said to be endowed with Aristotelian geometry if it carries a 1-form n and a rank-d positive-semidefinite symmetric tensor field h,…”
Section: Coordinate-free Formulation Of Dipole Conservation Lawsmentioning
confidence: 99%