-
[1]
R. Caldwell, Y. Cui, H. K. Guo et al., Gen. Rel. Grav. 54, 156 (2022), arXiv: 2203.07972[gr-qc]
-
[2]
P. S. B. Dev and A. Mazumdar, Phys. Rev. D 93, 104001 (2016), arXiv: 1602.04203[hep-ph]
-
[3]
C. S. Machado, W. Ratzinger, P. Schwaller et al., Phys. Rev. D 102, 075033 (2020), arXiv: 1912.01007[hep-ph]
-
[4]
L. Delle Rose, G. Panico, M. Redi et al., JHEP 04, 025 (2020), arXiv: 1912.06139[hep-ph]
-
[5]
B. Von Harling, A. Pomarol, O. Pujolàs et al., JHEP 04, 195 (2020), arXiv: 1912.07587[hep-ph]
-
[6]
B. P. Abbott et al. (LIGO Scientific and Virgo Collaborations), Phys. Rev. D 100, 061101 (2019), arXiv: 1903.02886[gr-qc]
-
[7]
M. Punturo, M. Abernathy, F. Acernese et al., Class. Quant. Grav. 27, 194002 (2010)
-
[8]
A. Salvio, JCAP 12, 046 (2023), arXiv: 2307.04694[hep-ph]
-
[9]
A. Salvio, Phys. Lett. B 852, 138639 (2024), arXiv: 2312.04628[hep-ph]
-
[10]
J. Antoniadis et al. (EPTA and InPTA: Collaborations), Astron. Astrophys. 678, A50 (2023), arXiv: 2306.16214 [astro-ph.HE]
-
[11]
D. J. Reardon, A. Zic, R. M. Shannon et al., Astrophys. J. Lett. 951, L6 (2023), arXiv: 2306.16215[astro-ph.HE]
-
[12]
G. Agazie et al. (NANOGrav Collaboration), Astrophys. J. Lett. 951, L8 (2023), arXiv: 2306.16213[astro-ph.HE]
-
[13]
H. Xu, S. Chen, Y. Guo et al., Res. Astron. Astrophys. 23, 075024 (2023), arXiv: 2306.16216[astro-ph.HE]
-
[14]
L. Bian, R. G. Cai, J. Liu et al., Phys. Rev. D 103, L081301 (2021), arXiv: 2009.13893[astro-ph.CO]
-
[15]
Y. Nakai, M. Suzuki, F. Takahashi et al., Phys. Lett. B 816, 136238 (2021), arXiv: 2009.09754[astro-ph.CO]
-
[16]
A. Addazi, Y. F. Cai, Q. Gan et al., Sci. China Phys. Mech. Astron. 64, 290411 (2021), arXiv: 2009.10327[hep-ph]
-
[17]
W. Ratzinger and P. Schwaller, SciPost Phys. 10, 047 (2021), arXiv: 2009.11875[astro-ph.CO]
-
[18]
D. Borah, A. Dasgupta, and S. K. Kang, JCAP 12, 039 (2021), arXiv: 2109.11558[hep-ph]
-
[19]
X. Xue, L. Bian, J. Shu et al., Phys. Rev. Lett. 127, 251303 (2021), arXiv: 2110.03096[astro-ph.CO]
-
[20]
Z. C. Chen, S. L. Li, P. Wu et al., Phys. Rev. D 109, 043022 (2024), arXiv: 2312.01824[astro-ph.CO]
-
[21]
S. He, L. Li, S. Wang et al., Sci. China Phys. Mech. Astron. 68, 210411 (2025), arXiv: 2308.07257[hep-ph]
-
[22]
Y. M. Wu, Z. C. Chen, and Q. G. Huang, Sci. China Phys. Mech. Astron. 67, 240412 (2024), arXiv: 2307.03141 [astroph.CO]
-
[23]
P. Athron, A. Fowlie, C. T. Lu et al., Phys. Rev. Lett. 132, 221001 (2024), arXiv: 2306.17239[hep-ph]
-
[24]
A. Addazi, Y. F. Cai, A. Marciano et al., Phys. Rev. D 109, 015028 (2024), arXiv: 2306.17205[astro-ph.CO]
-
[25]
R. D. Peccei and H. R. Quinn, Phys. Rev. Lett. 38, 1440 (1977)
-
[26]
R. D. Peccei and H. R. Quinn, Phys. Rev. D 16, 1791 (1977)
-
[27]
S. Weinberg, Phys. Rev. Lett. 40, 223 (1978)
-
[28]
F. Wilczek, Phys. Rev. Lett. 40, 279 (1978)
-
[29]
G. ’t Hooft, Phys. Rev. D 14, 3432 (1976), [Erratum: Phys. Rev. D 18, 2199 (1978)].
-
[30]
J. Preskill, M. B. Wise, and F. Wilczek, Phys. Lett. B 120, 127 (1983)
-
[31]
W. Fischler and J. Preskill, Phys. Lett. B 125, 165 (1983)
-
[32]
B. Julia and A. Zee, Phys. Rev. D 11, 2227 (1975)
-
[33]
K. S. Jeong, S. Nakagawa, F. Takahashi et al., Phys. Rev. D 109, 015014 (2024), arXiv: 2309.16570[hep-ph]
-
[34]
A. Banerjee and M. A. Buen-Abad, JHEP 02, 078 (2025), arXiv: 2410.21369 [hep-ph]
-
[35]
C. Zhang, S. H. Zhang, B. Fu et al., JHEP 08, 220 (2024), arXiv: 2404.04926[hep-ph]
-
[36]
Y. Bai, S. Lu, and N. Orlofsky, Phys. Rev. Lett. 127, 101801 (2021), arXiv: 2103.06286[hep-ph]
-
[37]
M. G. Aartsen et al. (IceCube Collaboration), Eur. Phys. J. C 76, 133 (2016), arXiv: 1511.01350[astro-ph.HE]
-
[38]
A. Aab et al. (Pierre Auger Collaboration), Phys. Rev. D 94, 082002 (2016), arXiv: 1609.04451[astro-ph.HE]
-
[39]
N. E. Mavromatos and V. A. Mitsou, Int. J. Mod. Phys. A 35, 2030012 (2020), arXiv: 2005.05100[hep-ph]
-
[40]
S. Nakagawa, F. Takahashi, and M. Yamada, Phys. Rev. Lett. 127, 181103 (2021), arXiv: 2103.08153[hep-ph]
-
[41]
M. L. Graesser, I. M. Shoemaker, and N. T. Arellano, JHEP 03, 105 (2022), arXiv: 2105.05769[hep-ph]
-
[42]
J. Fan, K. Fraser, M. Reece et al., Phys. Rev. Lett. 127, 131602 (2021), arXiv: 2105.09950[hep-ph]
-
[43]
M. L. Graesser and J. K. Osinski, ′ JHEP 11, 133 (2020), arXiv: 2007.07917[hep-ph]
-
[44]
R. Daido, S. Y. Ho, and F. Takahashi, JHEP 01, 185 (2020), arXiv: 1909.03627[hep-ph]
-
[45]
R. Sato, F. Takahashi, and M. Yamada, Phys. Rev. D 98, 043535 (2018), arXiv: 1805.10533[hep-ph]
-
[46]
M. Kawasaki, F. Takahashi, and M. Yamada, Phys. Lett. B 753, 677 (2016), arXiv: 1511.05030[hep-ph]
-
[47]
T. Hiramatsu, M. Ibe, M. Suzuki et al., JHEP 12, 122 (2021), arXiv: 2109.12771[hep-ph]
-
[48]
C. Gomez Sanchez and B. Holdom, Phys. Rev. D 83, 123524 (2011), arXiv: 1103.1632[hep-ph]
-
[49]
Y. Nomura, S. Rajendran, and F. Sanches, Phys. Rev. Lett. 116, 141803 (2016), arXiv: 1511.06347[hep-ph]
-
[50]
H. Murayama and J. Shu, Phys. Lett. B 686, 162 (2010), arXiv: 0905.1720[hep-ph]
-
[51]
J. Evslin and S. B. Gudnason, arXiv: 1202.0560 [astroph.CO]
-
[52]
J. Terning and C. B. Verhaaren, JHEP 12, 152 (2019), arXiv: 1906.00014[hep-ph]
-
[53]
S. Baek, P. Ko, and W. I. Park, JCAP 10, 067 (2014), arXiv: 1311.1035[hep-ph]
-
[54]
V. V. Khoze and G. Ro, JHEP 10, 061 (2014), arXiv: 1406.2291[hep-ph]
-
[55]
Y. Bai, M. Korwar, and N. Orlofsky, JHEP 07, 167 (2020), arXiv: 2005.00503[hep-ph]
-
[56]
G. ’t Hooft, Nucl. Phys. B 79, 276 (1974)
-
[57]
A. M. Polyakov, JETP Lett. 20, 194 (1974)
-
[58]
A. Vilenkin and A. E. Everett, Phys. Rev. Lett. 48, 1867 (1982)
-
[59]
Y. B. Zeldovich, I. Y. Kobzarev, and L. B. Okun, Zh. Eksp. Teor. Fiz. 67, 3 (1974)
-
[60]
P. Sikivie, Phys. Rev. Lett. 48, 1156 (1982)
-
[61]
A. Vilenkin, Phys. Rev. D 23, 852 (1981)
-
[62]
G. B. Gelmini, M. Gleiser, and E. W. Kolb, Phys. Rev. D 39, 1558 (1989)
-
[63]
S. E. Larsson, S. Sarkar, and P. L. White, Phys. Rev. D 55, 5129 (1997), arXiv: hep-ph/9608319 [hep-ph]
-
[64]
I. Baldes and C. Garcia-Cely, JHEP 05, 190 (2019), arXiv: 1809.01198[hep-ph]
-
[65]
E. Hall, T. Konstandin, R. McGehee et al., JHEP 04, 042 (2020), arXiv: 1910.08068[hep-ph]
-
[66]
T. Ghosh, H. K. Guo, T. Han et al., JHEP 07, 045 (2021), arXiv: 2012.09758[hep-ph]
-
[67]
B. Fornal, Y. Shirman, T. M. P. Tait et al., Phys. Rev. D 96, 035001 (2017), arXiv: 1703.00199[hep-ph]
-
[68]
T. Hambye, JHEP 01, 028 (2009), arXiv: 0811.0172[hep-ph]
-
[69]
C. Boehm, M. J. Dolan, and C. McCabe, Phys. Rev. D 90, 023531 (2014), arXiv: 1404.4977[hep-ph]
-
[70]
C. Gross, O. Lebedev, and Y. Mambrini, JHEP 08, 158 (2015), arXiv: 1505.07480[hep-ph]
-
[71]
P. Ko, T. Nomura, and H. Okada, Phys. Rev. D 103, 095011 (2021), arXiv: 2007.08153[hep-ph]
-
[72]
C.-H. Chen and T. Nomura, Phys. Lett. B 746, 351 (2015), arXiv: 1501.07413[hep-ph]
-
[73]
C.-H. Chen and T. Nomura, Phys. Rev. D 93, 074019 (2016), arXiv: 1507.00886[hep-ph]
-
[74]
C. W. Chiang, T. Nomura, and J. Tandean, JHEP 01, 183 (2014), arXiv: 1306.0882[hep-ph]
-
[75]
A. Salvio, Phys. Lett. B 808, 135686 (2020), arXiv: 2003.10446[hep-ph]
-
[76]
A. Ghoshal and A. Salvio, JHEP 12, 049 (2020), arXiv: 2007.00005[hep-ph]
-
[77]
M. Quiros, in ICTP Summer School in High-Energy Physics and Cosmology, (1999) pp. 187–259,, arXiv: hep-ph/9901312
-
[78]
X. Wang, F. P. Huang, and X. Zhang, JCAP 05, 045 (2020), arXiv: 2003.08892[hep-ph]
-
[79]
V. Guada, M. Nemevšek, and M. Pintar, Comput. Phys. Commun. 256, 107480 (2020), arXiv: 2002.00881[hep-ph]
-
[80]
L. Leitao, A. Megevand, and A. D. Sanchez, JCAP 10, 024 (2012), arXiv: 1205.3070[astro-ph.CO]
-
[81]
A. H. Guth and S. H. H. Tye, Phys. Rev. Lett. 44, 631 (1980)
-
[82]
A. H. Guth and E. J. Weinberg, Phys. Rev. D 23, 876 (1981)
-
[83]
M. B. Einhorn and K. Sato, Nucl. Phys. B 180, 385 (1981)
-
[84]
E. Witten, Phys. Lett. B 86, 283 (1979)
-
[85]
M. Kawasaki, F. Takahashi, and M. Yamada, JHEP 01, 053 (2018), arXiv: 1708.06047[hep-ph]
-
[86]
J. Preskill, Phys. Rev. Lett. 43, 1365 (1979)
-
[87]
J. T. Goldman, E. W. Kolb, and D. Toussaint, Phys. Rev. D 23, 867 (1981)
-
[88]
A. Vilenkin and E. P. S. Shellard, Cosmic Strings and Other Topological Defects (Cambridge University Press, 2000).
-
[89]
Y. B. Zeldovich and M. Y. Khlopov, Phys. Lett. B 79, 239 (1978)
-
[90]
M. Yamaguchi, M. Kawasaki, and J. Yokoyama, Phys. Rev. Lett. 82, 4578 (1999), arXiv: hep-ph/9811311
-
[91]
T. Hiramatsu, M. Kawasaki, T. Sekiguchi et al., Phys. Rev. D 83, 123531 (2011), arXiv: 1012.5502[hep-ph]
-
[92]
Y. Jia and L. Bian, (2024),, arXiv: 2412.04218[hep-ph]
-
[93]
J. E. Kim, Phys. Rev. Lett. 43, 103 (1979)
-
[94]
M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Nucl. Phys. B 166, 493 (1980)
-
[95]
D. H. Lyth, Phys. Lett. B 275, 279 (1992)
-
[96]
M. Kawasaki, K. Saikawa, and T. Sekiguchi, Phys. Rev. D 91, 065014 (2015), arXiv: 1412.0789[hep-ph]
-
[97]
A. R. Zhitnitsky, Sov. J. Nucl. Phys. 31, 260 (1980)
-
[98]
Y. Li, L. Bian, R. G. Cai et al.,JCAP 08, 091 (2025), arXiv: 2311.02011[astro-ph.CO]
-
[99]
N. Aghanim et al. (Planck Collaboration), stron. Astrophys. 641, A6 (2020), [Erratum: Astron.Astrophys. 652, C4 (2021)], arXiv: 1807.06209[astro-ph.CO]
-
[100]
K. Enqvist, J. Ignatius, K. Kajantie et al., Phys. Rev. D 45, 3415 (1992)
-
[101]
S. J. Huber and T. Konstandin, JCAP 09, 022 (2008), arXiv: 0806.1828[hep-ph]
-
[102]
M. Hindmarsh, S. J. Huber, K. Rummukainen et al., Phys. Rev. D 92, 123009 (2015), arXiv: 1504.03291 [astroph.CO]
-
[103]
M. B. Hindmarsh, M. Lüben, J. Lumma et al., SciPost Phys. Lect. Notes 24, 1 (2021), arXiv: 2008.09136 [astro-ph.CO]
-
[104]
C. Caprini, R. Durrer, and G. Servant, JCAP 12, 024 (2009), arXiv: 0909.0622[astro-ph.CO]
-
[105]
P. Binetruy, A. Bohe, C. Caprini et al., JCAP 06, 027 (2012), arXiv: 1201.0983[gr-qc]
-
[106]
D. J. Fixsen, Astrophys. J. 707, 916 (2009), arXiv: 0911.1955[astro-ph.CO]
-
[107]
J. Ellis, M. Lewicki, and J. M. No, JCAP 07, 050 (2020), arXiv: 2003.07360[hep-ph]
-
[108]
M. Hindmarsh, S. J. Huber, K. Rummukainen et al., Phys. Rev. D 96, 103520 (2017), arXiv: 1704.05871[astro-ph.CO]
-
[109]
C. Caprini et al., JCAP 03, 024 (2020), arXiv: 1910.13125[astro-ph.CO]
-
[110]
J. Ellis, M. Lewicki, J. M. No et al., JCAP 06, 024 (2019), arXiv: 1903.09642[hep-ph]
-
[111]
T. Hiramatsu, M. Kawasaki, and K. Saikawa, JCAP 02, 031 (2014), arXiv: 1309.5001[astro-ph.CO]
-
[112]
K. Kadota, M. Kawasaki, and K. Saikawa, JCAP 10, 041 (2015), arXiv: 1503.06998[hep-ph]
-
[113]
M. Kawasaki, K. Kohri, and T. Moroi, Phys. Lett. B 625, 7 (2005), arXiv: astro-ph/0402490
-
[114]
M. Kawasaki, K. Kohri, and T. Moroi, Phys. Rev. D 71, 083502 (2005), arXiv: astro-ph/0408426
-
[115]
S. Chen et al. (EPTA Collaboration), Mon. Not. Roy. Astron. Soc. 508, 4970 (2021), arXiv: 2110.13184[astro-ph.HE]
-
[116]
B. Goncharov et al., Astrophys. J. Lett. 917, L19 (2021), arXiv: 2107.12112[astro-ph.HE]
-
[117]
Z. Arzoumanian et al. (NANOGrav Collaboration), Astrophys. J. Lett. 905, L34 (2020), arXiv: 2009.04496 [astro-ph.HE]
-
[118]
A. Sesana et al., Exper. Astron. 51, 1333 (2021), arXiv: 1908.11391[astro-ph.IM]
-
[119]
P. Amaro-Seoane et al. (LISA Collaboration), arXiv: 1702.00786 [astro-ph.IM]
-
[120]
J. Baker, J. Bellovary, P. L. Bender et al., arXiv: 1907.06482[astro-ph.IM]
-
[121]
W. R. Hu and Y. L. Wu, Natl. Sci. Rev. 4, 685 (2017)
-
[122]
W. H. Ruan, Z. K. Guo, R. G. Cai et al., Int. J. Mod. Phys. A 35, 2050075 (2020), arXiv: 1807.09495[gr-qc]
-
[123]
J. Luo et al. (TianQin Collaboration), Class. Quant. Grav. 33, 035010 (2016), arXiv: 1512.02076[astro-ph.IM]
-
[124]
N. Seto, S. Kawamura, and T. Nakamura, Phys. Rev. Lett. 87, 221103 (2001), arXiv: astro-ph/0108011
-
[125]
H. Kudoh, A. Taruya, T. Hiramatsu et al., Phys. Rev. D 73, 064006 (2006), arXiv: gr-qc/0511145
-
[126]
S. Kawamura, M. Ando, N. Seto et al., PTEP 2021, 05A105 (2021), arXiv: 2006.13545[gr-qc]
-
[127]
J. Crowder and N. J. Cornish, Phys. Rev. D 72, 083005 (2005), arXiv: gr-qc/0506015
-
[128]
A. G. Riess, S. Casertano, W. Yuan et al., Astrophys. J. 855, 136 (2018), arXiv: 1801.01120 [astro-ph.SR]
-
[129]
J. L. Bernal, L. Verde, and A. G. Riess, JCAP 10, 019 (2016), arXiv: 1607.05617[astro-ph.CO]
-
[130]
N. Blinov and G. Marques-Tavares, JCAP 09, 029 (2020), arXiv: 2003.08387[astro-ph.CO]
-
[131]
A. Mariotti, X. Nagels, A. Rase et al., arXiv: 2411.13494[hep-ph]
-
[132]
M. Vanvlasselaer, arXiv: 2501.00491[hep-ph]
-
[133]
R. T. Co and K. Harigaya, Phys. Rev. Lett. 124, 111602 (2020), arXiv: 1910.02080[hep-ph]
-
[134]
R. T. Co, T. Gherghetta, and K. Harigaya, JHEP 10, 121 (2022), arXiv: 2206.00678[hep-ph]
-
[135]
S. R. Coleman and E. J. Weinberg, Phys. Rev. D 7, 1888 (1973)
-
[136]
L. Dolan and R. Jackiw, Phys. Rev. D 9, 3320 (1974)
-
[137]
G. W. Anderson and L. J. Hall, Phys. Rev. D 45, 2685 (1992)
-
[138]
M. E. Carrington, Phys. Rev. D 45, 2933 (1992)
-
[139]
P. B. Arnold and O. Espinosa,Phys. Rev. D 47, 3546 (1993), [Erratum: Phys.Rev.D 50, 6662 (1994)], arXiv: hep-ph/9212235 [hep-ph]