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Lorentz Invariance in Chiral Kinetic Theory
Open accessAbstract
We show that Lorentz invariance is realized nontrivially in the classical action of a massless spin-1/2 particle with definite helicity. We find that the ordinary Lorentz transformation is modified by a shift orthogonal to the boost vector and the particle momentum. The shift ensures angular momentum conservation in particle collisions and implies a nonlocality of the collision term in the Lorentz-invariant kinetic theory due to side jumps. We show that 2/3 of the chiral-vortical effect for a uniformly rotating particle distribution can be attributed to the magnetic moment coupling required by the Lorentz invariance. We also show how the classical action can be obtained by taking the classical limit of the path integral for a Weyl particle.
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Fukushima, K., Kharzeev, D. E., & Warringa, H. J. (2008) · Physical Review D · doi:10.1103/physrevd.78.074033 · Cited by 2,006
Observation of a three-dimensional topological Dirac semimetal phase in high-mobility Cd3As2
Neupane, M., Xu, S.-Y., Sankar, R., Alidoust, N., Bian, G., Liu, C., Belopolski, I., Chang, T.-R., Jeng, H.-T., Lin, H., et al. (2014) · Nature Communications · doi:10.1038/ncomms4786 · Cited by 1,399
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Transverse and longitudinal angular momenta of light
Bliokh, K. Y., & Nori, F. (2015) · Physics Reports · doi:10.1016/j.physrep.2015.06.003 · Cited by 954
Chiral magnetic and vortical effects in high-energy nuclear collisions—A status report
Kharzeev, D. E., Liao, J., Voloshin, S. A., & Wang, G. (2016) · Progress in Particle and Nuclear Physics · doi:10.1016/j.ppnp.2016.01.001 · Cited by 746
Mapping the phases of quantum chromodynamics with beam energy scan
Bzdak, A., Esumi, S., Koch, V., Liao, J., Stephanov, M., & Xu, N. (2020) · Physics Reports · doi:10.1016/j.physrep.2020.01.005 · Cited by 465
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Metadata
- Authors
- Chen, J.-Y., Son, D. T., Stephanov, M. A., Yee, H.-U., & Yin, Y.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2014-10-30
- Volume
- 113
- Issue
- 18
- Pages
- 182302-182302
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2065151647
- Cited by
- 223
- References
- 2
- FWCI
- 9.98
- Type
- journal article
- Language
- en
- Open access
- green
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- Chen, J.-Y., Son, D. T., Stephanov, M. A., Yee, H.-U., & Yin, Y. (2014). Lorentz Invariance in Chiral Kinetic Theory. Physical Review Letters. https://doi.org/10.1103/physrevlett.113.182302
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