Spinor fields in general Newton-Cartan backgrounds

Fuini, John F.; Karch, Andreas; Uhlemann, Christoph F.

doi:10.1103/PhysRevD.92.125036

Title: Spinor fields in general Newton-Cartan backgrounds

Abstract

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.

Authors:

Fuini, John F. ^[1]; Karch, Andreas ^[1]; Uhlemann, Christoph F. ^[1]

Univ. of Washington, Seattle, WA (United States)

Publication Date:: Wed Dec 30 00:00:00 EST 2015

Research Org.:: Univ. of Washington, Seattle, WA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1595198

Alternate Identifier(s):: OSTI ID: 1234102

Grant/Contract Number:: SC0011637

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review. D, Particles, Fields, Gravitation and Cosmology

Additional Journal Information:: Journal Volume: 92; Journal Issue: 12; Journal ID: ISSN 1550-7998

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Fuini, John F., Karch, Andreas, and Uhlemann, Christoph F. Spinor fields in general Newton-Cartan backgrounds.  United States: N. p., 2015. 
Web.  doi:10.1103/PhysRevD.92.125036.

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                    Fuini, John F., Karch, Andreas, & Uhlemann, Christoph F. Spinor fields in general Newton-Cartan backgrounds.  United States.  https://doi.org/10.1103/PhysRevD.92.125036

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                    Fuini, John F., Karch, Andreas, and Uhlemann, Christoph F. Wed .  
"Spinor fields in general Newton-Cartan backgrounds".  United States.  https://doi.org/10.1103/PhysRevD.92.125036.  https://www.osti.gov/servlets/purl/1595198.

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@article{osti_1595198,

  title        = {Spinor fields in general Newton-Cartan backgrounds},

  author       = {Fuini, John F. and Karch, Andreas and Uhlemann, Christoph F.},

  abstractNote = {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.},

  doi          = {10.1103/PhysRevD.92.125036},

  journal      = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},

  number       = 12,

  volume       = 92,

  place        = {United States},

  year         = {Wed Dec 30 00:00:00 EST 2015},

  month        = {Wed Dec 30 00:00:00 EST 2015}

}

Copy to clipboard

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Works referenced in this record:

3D Newton–Cartan supergravity
journal, September 2013

Andringa, Roel; Bergshoeff, Eric A.; Rosseel, Jan
Classical and Quantum Gravity, Vol. 30, Issue 20
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Hall Viscosity and Electromagnetic Response
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Torsional Newton-Cartan geometry and Lifshitz holography
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Christensen, Morten H.; Hartong, Jelle; Obers, Niels A.
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Jensen, Kristan; Karch, Andreas
Journal of High Energy Physics, Vol. 2015, Issue 4
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Bergshoeff, Eric; Rosseel, Jan; Zojer, Thomas
Classical and Quantum Gravity, Vol. 32, Issue 20
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Boundary stress-energy tensor and Newton-Cartan geometry in Lifshitz holography
journal, January 2014

Christensen, Morten H.; Hartong, Jelle; Obers, Niels A.
Journal of High Energy Physics, Vol. 2014, Issue 1
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Low-energy effective theory in the bulk for transport in a topological phase
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Works referencing / citing this record:

Homogeneous nonrelativistic geometries as coset spaces
journal, July 2018

Grosvenor, Kevin T.; Hartong, Jelle; Keeler, Cynthia
Classical and Quantum Gravity, Vol. 35, Issue 17
DOI: 10.1088/1361-6382/aad0f9

Action Principle for Newtonian Gravity
text, January 2019

Dennis, Hansen,; Jelle, Hartong,; A., Obers, Niels
ETH Zurich
DOI: 10.3929/ethz-b-000326829

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Title: Spinor fields in general Newton-Cartan backgrounds

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