Backgrounds in gravitational effective field theory

Kostelecký, V. Alan; Li, Zonghao

doi:10.1103/physrevd.103.024059

Backgrounds in gravitational effective field theory

Journal Article · Thu Jan 28 23:00:00 EST 2021 · Physical Review. D.

DOI:https://doi.org/10.1103/physrevd.103.024059· OSTI ID:1843786

Kostelecký, V. Alan ^[1]; ^[2]

Indiana Univ., Bloomington, IN (United States); Indiana University
Indiana Univ., Bloomington, IN (United States)

Effective field theories describing gravity coupled to matter are investigated, allowing for operators of arbitrary mass dimension. Terms violating local Lorentz and diffeomorphism invariance while preserving internal gauge symmetries are included. The theoretical framework for violations of local Lorentz and diffeomorphism invariance and associated conceptual issues are discussed, including transformations in curved and approximately flat spacetimes, the treatment of various types of backgrounds, the implications of symmetry breaking, and the no-go constraints for explicit violation in Riemann geometry. Furthermore, techniques are presented for the construction of effective operators, and the possible terms in the gravity, gauge, fermion, and scalar sectors are classified and enumerated. Explicit expressions are obtained for terms containing operators of mass dimension six or less in the effective action for General Relativity coupled to the Standard Model of particle physics. Special cases considered include Einstein-Maxwell effective field theories and the limit with only scalar coupling constants.

View Accepted Manuscript (DOE)

Research Organization:: Indiana Univ., Bloomington, IN (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0010120

OSTI ID:: 1843786

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 2 Vol. 103; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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(Gravitational) Vacuum Cherenkov Radiation Schreck, Marco Symmetry, Vol. 10, Issue 10 https://doi.org/10.3390/sym10100424	journal	September 2018
Relating Noncommutative SO(2,3)☆ Gravity to the Lorentz-Violating Standard-Model Extension Bailey, Quentin; Lane, Charles Symmetry, Vol. 10, Issue 10 https://doi.org/10.3390/sym10100480	journal	October 2018
Lorentz-Violating Gravity Models and the Linearized Limit Seifert, Michael Symmetry, Vol. 10, Issue 10 https://doi.org/10.3390/sym10100490	journal	October 2018
Lorentz-Violating Matter-Gravity Couplings in Small-Eccentricity Binary Pulsars Shao, Lijing Symmetry, Vol. 11, Issue 9 https://doi.org/10.3390/sym11091098	journal	September 2019
Modifications to Plane Gravitational Waves from Minimal Lorentz Violation Xu, Rui Symmetry, Vol. 11, Issue 10 https://doi.org/10.3390/sym11101318	journal	October 2019
The Standard-Model Extension and Gravitational Tests Tasson, Jay Symmetry, Vol. 8, Issue 11 https://doi.org/10.3390/sym8110111	journal	October 2016
Gravity Theories with Background Fields and Spacetime Symmetry Breaking Bluhm, Robert Symmetry, Vol. 9, Issue 10 https://doi.org/10.3390/sym9100230	journal	October 2017
Tests of Lorentz Symmetry in the Gravitational Sector Hees, Aurélien; Bailey, Quentin; Bourgoin, Adrien Universe, Vol. 2, Issue 4 https://doi.org/10.3390/universe2040030	journal	December 2016
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