Eur. Phys. J. C (2018) 78: 511
https://doi.org/10.1140/epjc/s10052-018-5993-8

Regular Article - Theoretical Physics

Note about Hamiltonian formalism for Newton–Cartan string and p-brane

Department of Theoretical Physics and Astrophysics, Faculty of Science, Masaryk University, Kotlářská 2, 611 37, Brno, Czech Republic

^* e-mail: klu@physics.muni.cz

Received: 28 March 2018
Accepted: 14 June 2018
Published online: 20 June 2018

Abstract

We construct non-relativistic string and p-brane actions in Newton–Cartan background using the limiting procedure from the relativistic string and p-brane action in general background. We also find their Hamiltonian formulations when however we restrict ourselves to the case of the vanishing gauge field .