Electrodynamics with violations of Lorentz and <i>U</i>(1) gauge symmetries and their Hamiltonian structures

[1]
G. Aad et al. (ATLAS), Phys. Lett. B 716, 1 (2012), arXiv:1207.7214[hep-ex]
[2]
S. Chatrchyan et al. (CMS), Phys. Lett. B 716, 30 (2012), arXiv:1207.7235[hep-ex]
[3]
B. P. Abbott et al. (LIGO Scientific, Virgo), Phys. Rev. Lett. 116, 061102 (2016), arXiv:1602.03837[gr-qc]
[4]
V. A. Kostelecký and R. Potting, Phys. Rev. D 51, 3923 (1995), arXiv:hep-ph/9501341
[5]
D. Colladay and V. A. Kostelecký, Phys. Rev. D 55, 6760 (1997)
[6]
V. A. Kostelecký, Phys. Rev. D 69, 105009 (2004)
[7]
V. A. Kostelecký and N. Russell, Rev. Mod. Phys. 83, 11 (2011), arXiv:0801.0287[hep-ph]
[8]
V. A. Kostelecký and M. Mewes, Phys. Rev. Lett. 99, 011601 (2007), arXiv:astro-ph/0702379
[9]
V. A. Kostelecký and M. Mewes, Astrophys. J. Lett. 689, L1 (2008), arXiv:0809.2846[astro-ph]
[10]
P. Cabella, P. Natoli, and J. Silk, Phys. Rev. D 76, 123014 (2007), arXiv:0705.0810[astro-ph]
[11]
M. Li and X. Zhang, Phys. Rev. D 78, 03516 (2008), arXiv:0810.0403[astro-ph]
[12]
N. Aghanim et al. (Planck), Astron. Astrophys. 596, A110 (2016), arXiv:1605.08633[astro-ph.CO]
[13]
G. Gubitosi, L. Pagano, G. Amelino-Camelia et al., JCAP 08, 021 (2009), arXiv:0904.3201[astro-ph.CO]
[14]
S. M. Lee, D. W. Kang, J.-O.Gong et al., Cosmological Consequences of Kinetic Mixing between Photon and Dark Photon, (2023), arXiv: 2307.14798[hep-ph]
[15]
L. Caloni, S. Giardiello, M. Lembo et al., JCAP 03, 018 (2023), arXiv:2212.04867[astro-ph.CO]
[16]
M. Galaverni and G. Sigl, Phys. Rev. Lett. 100, 021102 (2008), arXiv:0708.1737[astro-ph]
[17]
V. Vasileiou, A. Jacholkowska, F. Piron et al., Phys. Rev. D 87, 122001 (2013)
[18]
Desai, Shantanu, Astrophysical and Cosmological Searches for Lorentz Invariance Violation, (2023), arXiv: 2303.10643[astro-ph.CO]
[19]
Z. Cao et al. (LHAASO), Phys. Rev. Lett. 128, 051102 (2022), arXiv:2106.12350[astro-ph.HE]
[20]
Pierre Auger Collaboration, Astrophys. J. 952, 91 (2023), arXiv:2307.10839[astro-ph.HE]
[21]
Pierre Auger Collaboration, JCAP 01, 023 (2022), arXiv:2112.06773[astro-ph.HE]
[22]
K. Astapov, D. Kirpichnikov, and P. Satunin, Journal of Cosmology and Astroparticle Physics (04), 054 (2019)
[23]
M. Chrétien, J. Bolmont, and A. Jacholkowska, Constraining photon dispersion relations from observations of the vela pulsar with H.E.S.S (2015), arXiv: 1509.03545[astro-ph.HE]
[24]
V. A. Kostelecký and M. Mewes, Phys. Rev. D 80, 015020 (2009)
[25]
L. H. C. Borges and A. F. Ferrari, Mod. Phys. Lett. A 37, 2250021 (2022), arXiv:2202.04424[hep-th]
[26]
P. D. S. Silva, L. Lisboa-Santos, M. M. Ferreira et al., Phys. Rev. D 104, 116023 (2021), arXiv:2109.04659[hep-th]
[27]
R. Casana, M. M. Ferreira, J r, J. S. Rodrigues et al., Phys. Rev. D 80, 085026 (2009), arXiv:0907.1924[hep-th]
[28]
C. A. Escobar and M. A. G. Garcia, Phys. Rev. D 92, 025034 (2015), arXiv:1505.00069[hep-th]
[29]
R. Avila, J. R. Nascimento, A. Y. Petrov et al., Phys. Rev. D 101, 055011 (2020), arXiv:1911.12221[hep-th]
[30]
M. M. Ferreira, J. a. A. A. S. Reis, and M. Schreck, Phys. Rev. D 100, 095026 (2019), arXiv:1905.04401[hep-th]
[31]
M. A. Anacleto, F. A. Brito, E. Maciel et al., Phys. Lett. B 785, 191 (2018), arXiv:1806.08273[hep-th]
[32]
V. A. Kostelecký and M. Mewes, Phys. Rev. Lett. 87, 251304 (2001), arXiv:hep-ph/0111026
[33]
S. M. Carroll, G. B. Field, and R. Jackiw, Phys. Rev. D 41, 1231 (1990)
[34]
E. Allys, P. Peter, and Y. Rodriguez, JCAP 02, 004 (2016), arXiv:1511.03101[hep-th]
[35]
Casana, R., Manoel M. Ferreira, and Josberg S. Rodrigues, Phys. Rev. D 78, 125013 (2008), arXiv:0810.0306[hep-th]
[36]
Z. Molaee and A. Shirzad, Constraint structure of the generalized proca model in the lagrangian formalism, (2023), arXiv: 2307.02384[hep-th]
[37]
D. Colladay and V. A. Kostelecky, Phys. Rev. D 58, 116002 (1998), arXiv:hep-ph/9809521
[38]
E. Svanberg, Theories with higher-order time derivatives and the Ostrogradsky ghost, Bachelor thesis (2022), arXiv: 2211.14319[physics.class-ph]
[39]
R. P. Woodard, Scholarpedia 10, 32243 (2015), arXiv:1506.02210[hep-th]
[40]
P. G. Bergmann and J. H. M. Brunings, Rev. Mod. Phys. 21, 480 (1949)
[41]
J. L. Anderson and P. G. Bergmann, Phys. Rev. 83, 1018 (1951)
[42]
P. A. M. Dirac, Canadian Journal of Mathematics 2, 129 (1950)
[43]
P. A. M. Dirac, Canadian Journal of Mathematics 3, 1 (1951)
[44]
. A. M. Dirac, Lectures on Quantum Mechanics, Dover Publications (2001).
[45]
X. Gao and Z.-B. Yao, Phys. Rev. D 101, (2020)
[46]
X. Gao and Z.-B. Yao, JCAP 05, 024 (2019), arXiv:1806.02811[gr-qc]
[47]
M. Henneaux and C. Teitelboim, Quantization of gauge systems, (Princeton University Press), chap. 1, pp. 24, 29 (1992)
[48]
L.-C. Tu, J. Luo, and G. T. Gillies, Reports on Progress in Physics 68, 77 (2004)
[49]
A. S. Goldhaber and M. M. NIETO, Rev. Mod. Phys 43, 277 (1971)
[50]
J. C. Byrne and R. R. Burman, J. Phys. A: Math. Nucl. Gen. 6, L12 (1973)