skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Abstract

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.

Authors:
 [1];  [1];  [1]
  1. Univ. of South Carolina, Columbia, SC (United States)
Publication Date:
Research Org.:
Univ. of South Carolina, Columbia, SC (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1437683
Alternate Identifier(s):
OSTI ID: 1498839
Grant/Contract Number:  
sc0010300
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 97; Journal Issue: 9; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Kamand, Rasha, Altschul, Brett, and Schindler, Matthias R. Hadronic Lorentz violation in chiral perturbation theory including the coupling to external fields. United States: N. p., 2018. Web. doi:10.1103/physrevd.97.095027.
Kamand, Rasha, Altschul, Brett, & Schindler, Matthias R. Hadronic Lorentz violation in chiral perturbation theory including the coupling to external fields. United States. doi:10.1103/physrevd.97.095027.
Kamand, Rasha, Altschul, Brett, and Schindler, Matthias R. Fri . "Hadronic Lorentz violation in chiral perturbation theory including the coupling to external fields". United States. doi:10.1103/physrevd.97.095027.
@article{osti_1437683,
title = {Hadronic Lorentz violation in chiral perturbation theory including the coupling to external fields},
author = {Kamand, Rasha and Altschul, Brett and Schindler, Matthias R.},
abstractNote = {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.},
doi = {10.1103/physrevd.97.095027},
journal = {Physical Review D},
number = 9,
volume = 97,
place = {United States},
year = {2018},
month = {5}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/physrevd.97.095027

Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Structure of Phenomenological Lagrangians. II
journal, January 1969


Hadronic Lorentz violation in chiral perturbation theory
journal, March 2017


On the Foundations of Chiral Perturbation Theory
journal, October 1994


Lorentz violation in neutron decay and allowed nuclear β decay
journal, May 2013


Search for Lorentz invariance and C P T violation with muon antineutrinos in the MINOS Near Detector
journal, February 2012


Contributions to pion decay from Lorentz violation in the weak sector
journal, October 2013


The Rédei-like model and testing Lorentz invariance
journal, July 1982


Limits on Lorentz Violation from Forbidden β Decays
journal, October 2013


Tests of Lorentz and CPT symmetry with hadrons and nuclei
journal, August 2016


Test of Lorentz invariance in β decay of polarized Na 20
journal, August 2016


Chiral perturbation theory: Expansions in the mass of the strange quark
journal, January 1985


Anomalous chiral perturbation theory meson Lagrangian to order p 6 reexamined
journal, February 2002


The mesonic chiral lagrangean of order p 6
journal, February 1999


Gluonic Lorentz violation and chiral perturbation theory
journal, April 2017


Nucleons with chiral loops
journal, October 1988


Data tables for Lorentz and C P T violation
journal, March 2011


CPT violation and the standard model
journal, June 1997


Lorentz-violating extension of the standard model
journal, October 1998


Testing Lorentz Invariance and CPT Conservation with NuMI Neutrinos in the MINOS Near Detector
journal, October 2008


Cerenkov radiation in a Lorentz-violating and birefringent vacuum
journal, May 2007


Vacuum Cherenkov radiation for Lorentz-violating fermions
journal, November 2017


Chiral perturbation theory to one loop
journal, November 1984


Phenomenological Lagrangians
journal, April 1979


Extension of the chiral perturbation theory meson Lagrangian to order p 6
journal, January 1996


Neutrino beam constraints on flavor-diagonal Lorentz violation
journal, May 2013


C P T Violation Implies Violation of Lorentz Invariance
journal, November 2002


Structure of Phenomenological Lagrangians. I
journal, January 1969


Limits on Lorentz violation from charged pion decay
journal, May 2014


Disentangling forms of Lorentz violation with complementary clock comparison experiments
journal, March 2009