Hadronic Lorentz violation in chiral perturbation theory including the coupling to external fields

Kamand, Rasha; Altschul, Brett; Schindler, Matthias R.

doi:10.1103/PhysRevD.97.095027

Title: Hadronic Lorentz violation in chiral perturbation theory including the coupling to external fields

Journal Article · Fri May 18 00:00:00 EDT 2018 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.97.095027· OSTI ID:1437683

Kamand, Rasha; Altschul, Brett; Schindler, Matthias R.

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.

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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

Citation Metrics:

Cited by: 6 works

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Cited By (2)

Lorentz- and $C P T$ -violating standard model extension in chiral perturbation theory Altschul, Brett; Schindler, Matthias R. Physical Review D, Vol. 100, Issue 7 https://doi.org/10.1103/physrevd.100.075031	journal	October 2019
Gauge field theories with Lorentz-violating operators of arbitrary dimension Kostelecký, V. Alan; Li, Zonghao Physical Review D, Vol. 99, Issue 5 https://doi.org/10.1103/physrevd.99.056016	journal	March 2019

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