Hadronic Lorentz violation in chiral perturbation theory including the coupling to external fields
If any violation of Lorentz symmetry exists in the hadron sector, its ultimate origins must lie at the quark level. We continue the analysis of how the theories at these two levels are connected, using chiral perturbation theory. Considering a 2-flavor quark theory, with dimension-4 operators that break Lorentz symmetry, we derive a low-energy theory of pions and nucleons that is invariant under local chiral transformations and includes the coupling to external fields. The pure meson and baryon sectors, as well as the couplings between them and the couplings to external electromagnetic and weak gauge fields, contain forms of Lorentz violation which depend on linear combinations of quark-level coefficients. In particular, at leading order the electromagnetic couplings depend on the very same combinations as appear in the free particle propagators. This means that observations of electromagnetic processes involving hadrons—such as vacuum Cerenkov radiation, which may be allowed in Lorentz-violating theories—can only reliably constrain certain particular combinations of quark coefficients.
- Research Organization:
- Univ. of South Carolina, Columbia, SC (United States)
- Sponsoring Organization:
- USDOE
- Grant/Contract Number:
- SC0010300; sc0010300
- OSTI ID:
- 1437683
- Alternate ID(s):
- OSTI ID: 1498839
- Journal Information:
- Physical Review D, Journal Name: Physical Review D Vol. 97 Journal Issue: 9; ISSN 2470-0010
- Publisher:
- American Physical SocietyCopyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
Lorentz- and -violating standard model extension in chiral perturbation theory
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journal | October 2019 |
Gauge field theories with Lorentz-violating operators of arbitrary dimension
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journal | March 2019 |
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