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Torsional Newton-Ca...
Torsional Newton-Cartan geometry from the Noether procedure
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- Festuccia, Guido (författare)
- Uppsala universitet,Teoretisk fysik
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- Hansen, Dennis (författare)
- Univ Copenhagen, Niels Bohr Inst, Blegdamsvej 17, DK-2100 Copenhagen O, Denmark.
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- Hartong, Jelle (författare)
- Univ Libre Bruxelles, Phys Theor & Math Inst, CP 231, B-1050 Brussels, Belgium.;Univ Libre Bruxelles, Int Solvay Inst, CP 231, B-1050 Brussels, Belgium.
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- Obers, Niels A. (författare)
- Univ Copenhagen, Niels Bohr Inst, Blegdamsvej 17, DK-2100 Copenhagen O, Denmark.
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(creator_code:org_t)
- 2016
- 2016
- Engelska.
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Ingår i: PHYSICAL REVIEW D. - 2470-0010. ; 94:10
- Relaterad länk:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- We apply the Noether procedure for gauging space-time symmetries to theories with Galilean symmetries, analyzing both massless and massive (Bargmann) realizations. It is shown that at the linearized level the Noether procedure gives rise to (linearized) torsional Newton-Cartan geometry. In the case of Bargmann theories the Newton-Cartan form M-mu couples to the conserved mass current. We show that even in the case of theories with massless Galilean symmetries it is necessary to introduce the form M-mu and that it couples to a topological current. Further, we show that the Noether procedure naturally gives rise to a distinguished affine (Christoffel type) connection that is linear in M-mu and torsionful. As an application of these techniques we study the coupling of Galilean electrodynamics to TNC geometry at the linearized level.
Ämnesord
- NATURVETENSKAP -- Fysik -- Annan fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Other Physics Topics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
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