Spinor fields in general Newton-Cartan backgrounds
- Univ. of Washington, Seattle, WA (United States)
We give a covariant construction of Lagrangians for spinor fields in generic Newton-Cartan backgrounds. A non-relativistic Dirac/Levy-Leblond operator and the associated fields are obtained from relativistic analogues by a limiting procedure. The relativistic symmetries induce the complete set of non-relativistic symmetries, including Milne boosts and local Galilean transformations. The resulting Levy-Leblond operator includes non-minimal couplings to the Newton-Cartan structure as well as to the gauge field, and with these couplings it transforms covariantly. Phenomenologically, this fixes the gyromagnetic ratio to $g=1$. Three-dimensional spacetimes are an exception: generic $$g$$ is possible but results in modified Milne transformations, which - upon gauge fixing - reproduces the anomalous diffeomorphisms found in earlier approaches.
- Research Organization:
- Univ. of Washington, Seattle, WA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- Grant/Contract Number:
- SC0011637
- OSTI ID:
- 1595198
- Alternate ID(s):
- OSTI ID: 1234102
- Journal Information:
- Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 92, Issue 12; ISSN 1550-7998
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
Homogeneous nonrelativistic geometries as coset spaces
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journal | July 2018 |
Action Principle for Newtonian Gravity
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text | January 2019 |
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