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More about the instanton/soliton/kink correspondence

Andrea Addazi

Andrea Addazi

Dipartimento di Fisica, Università di L’Aquila, 67010 Coppito, ’Aquila AQ, Italy

LNGS, Laboratori Nazionali del Gran Sasso, 67010 Assergi, ’Aquila AQ, Italy

E-mail Address: andrea.addazi@infn.lngs.it

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https://doi.org/10.1142/S0219887817500128Cited by:4 (Source: Crossref)

Abstract

We demonstrate that all gauge instantons in a $d = 3 + 1$ Yang–Mills theory, with generic topological vacuum charge $K$ , correspond to soliton solutions and kink scalar fields in $d = 4 + 1$ space-time.

Keywords:

References

1. G. Dvali, H. B. Nielsen and N. Tetradis, Phys. Rev. D 77 (2008) 085005, doi: 10.1103/PhysRevD.77.085005, arXiv: 0710.5051 [hep-th]. Crossref, Web of Science, Google Scholar
2. G. R. Dvali and M. A. Shifman, Phys. Lett. B 396 (1997) 64 [Phys. Lett. B 407 (1997) 452], doi: 10.1016/S0370-2693(97)00131-7, arXiv:hep-th/9612128. Google Scholar
3. G. ’t Hooft, Nuclear Phys. B 79(2) (1974) 276–284. Crossref, Web of Science, Google Scholar
4. A. M. Polyakov, JETP Lett. 20 (1974) 194 [Pisma Zh. Eksp. Teor. Fiz. 20 (1974) 430]. Google Scholar
5. A. Hanany and D. Tong, J. High Energy Phys. 0307 (2003) 037, doi: 10.1088/1126-6708/2003/07/037, arXiv: hep-th/0306150. Crossref, Web of Science, Google Scholar
6. D. Tong, arXiv:hep-th/0509216. Google Scholar
7. A. Sen, J. High Energy Phys. 9808 (1998) 012, doi: 10.1088/1126-6708/1998/08/012, arXiv: hep-th/9805170. Crossref, Google Scholar
8. M. F. Atiyah, Geometry of Yang–Mills Fields, Accademia Nazionale Dei Lincei Scuola Normale Superiore (1979). Google Scholar
9. M. F. Atiyah, V. G. Drinfeld, N. J. Hitchin and Y. I. Manin, Phys. Lett. A 65(3) (1978) 185–187. Crossref, Web of Science, Google Scholar
10. A. A. Belavin, A. M. Polyakov, A. S. Schwartz and Yu. S. Tyupkin, Phys.Lett. B 59 (1975) 85–87. Crossref, Web of Science, Google Scholar
11. M. Bianchi and M. Samsonyan, Internat. J. Modern Phys. A 24 (2009) 5737, arXiv: 0909.2173 [hep-th]. Link, Web of Science, Google Scholar
12. A. Addazi and M. Bianchi, J. High Energy Phys. 1412 (2014) 089, arXiv: 1407.2897 [hep-ph]. Crossref, Web of Science, Google Scholar
13. A. Addazi, J. High Energy Phys. 1504 (2015) 153, arXiv: 1501.04660 [hep-ph]. Crossref, Web of Science, Google Scholar
14. A. Addazi and M. Bianchi, J. High Energy Phys. 1507 (2015) 144, doi: 10.1007/JHEP07(2015)144, arXiv: 1502.01531 [hep-ph]. Crossref, Web of Science, Google Scholar
15. A. Addazi and M. Bianchi, J. High Energy Phys. 1506 (2015) 012, arXiv: 1502.08041 [hep-ph]. Crossref, Web of Science, Google Scholar
16. A. Addazi, M. Bianchi and G. Ricciardi, J. High Energy Phys. 1602 (2016) 035, doi: 10.1007/JHEP02(2016)035, arXiv: 1510.00243 [hep-ph]. Crossref, Web of Science, Google Scholar
17. A. Addazi, Modern Phys. Lett. A 31(17) (2016) 1650109, doi: 10.1142/S0217732316501091, arXiv: 1504.06799 [hep-ph]. Link, Web of Science, Google Scholar
18. A. Addazi, arXiv:1505.00625 [hep-ph]. Google Scholar
19. A. Addazi, Internat. J. Modern Phys. A 31(16) (2016) 1650084, doi: 10.1142/S0217751X16500846, arXiv: 1505.02080 [hep-ph]. Link, Web of Science, Google Scholar
20. A. Addazi, Phys. Lett. B 757 (2016) 462, doi: 10.1016/j.physletb.2016.04.018, arXiv: 1506.06351 [hep-ph]. Crossref, Web of Science, Google Scholar
21. A. Addazi, J. W. F. Valle and C. A. Vaquera-Araujo, Phys. Lett. B 759 (2016) 471, doi: 10.1016/j.physletb.2016.06.015, arXiv: 1604.02117 [hep-ph]. Crossref, Web of Science, Google Scholar
22. A. Addazi and M. Khlopov, Modern Phys. Lett. A 31(19) (2016) 1650111, doi: 10.1142/S021773231650111X, arXiv: 1604.07622 [hep-ph]. Link, Web of Science, Google Scholar
23. A. Strominger, Phys. Rev. Lett. 52 (1984) 1733. Crossref, Web of Science, Google Scholar
24. S. W. Hawking, Phys. Lett. B 195 (1987) 337. Crossref, Web of Science, Google Scholar
25. S. W. Hawking, Phys. Rev. D 37 (1988) 904. Crossref, Web of Science, Google Scholar
26. G. V. Lavrelashvili, V. A. Rubakov and P. G. Tinyakov, Nuclear Phys. B 299 (1988) 757. Crossref, Web of Science, Google Scholar
27. S. R. Coleman, Nuclear Phys. B 307 (1988) 867. Crossref, Web of Science, Google Scholar
28. S. R. Coleman, Nuclear Phys. B 310 (1988) 643. Crossref, Web of Science, Google Scholar
29. S. B. Giddings and A. Strominger, Nuclear Phys. B 321 (1989) 481. Crossref, Web of Science, Google Scholar
30. I. R. Klebanov, L. Susskind and T. Banks, Nuclear Phys. B 317 (1989) 665. Crossref, Web of Science, Google Scholar
31. J. Maldacena and L. Susskind, Fortschr. Phys. 61 (2013) 781, doi: 10.1002/prop.201300020, arXiv: 1306.0533 [hep-th]. Crossref, Web of Science, Google Scholar
32. L. Susskind, Fortschr. Phys. 64 (2016) 72, doi: 10.1002/prop.201500094, arXiv:1412.8483 [hep-th]. Crossref, Web of Science, Google Scholar
33. G. Basini, S. Capozziello and G. Longo, Phys. Lett. A 311 (2003) 465, doi: 10.1016/S0375-9601(03)00566-8. Crossref, Web of Science, Google Scholar
34. S. Capozziello, O. Luongo and S. Mancini, Phys. Lett. A 377 (2013) 1061, doi: 10.1016/j.physleta.2013.02.038, arXiv: 1302.5884 [gr-qc]. Crossref, Web of Science, Google Scholar
35. S. Capozziello and O. Luongo, Phys. Lett. A 378 (2014) 2058, doi: 10.1016/j.physleta.2014.05.043, arXiv: 1405.7834 [gr-qc]. Crossref, Web of Science, Google Scholar
36. J. J. Oh, C. Park and H. S. Yang, J. High Energy Phys. 1104 (2011) 087, doi: 10.1007/JHEP04(2011)087, arXiv: 1101.1357 [hep-th]. Crossref, Web of Science, Google Scholar
37. G. W. Gibbons and S. W. Hawking, Phys. Lett. B 78 (1978). Crossref, Web of Science, Google Scholar
38. G. W. Gibbons and S. W. Hawking, Comm. Math. Phys. 66(3) (1979) 291–310. Crossref, Web of Science, Google Scholar
39. R. Bousso and S. W. Hawking, Phys. Rev. D 57 (1998) 2436, arXiv: hep-th/9709224. Crossref, Web of Science, Google Scholar
40. S. Nojiri and S. D. Odintsov, Class. Quantum Grav. 30 (2013) 125003, arXiv: 1301.2775 [hep-th]. Crossref, Web of Science, Google Scholar
41. S. Nojiri and S. D. Odintsov, Phys. Lett. B 735 (2014) 376, arXiv: 1405.2439 [gr-qc]. Crossref, Web of Science, Google Scholar
42. L. Sebastiani, D. Momeni, R. Myrzakulov and S. D. Odintsov, Phys. Rev. D 88 (2013) 10, 104022, doi: 10.1103/PhysRevD.88.104022, arXiv: 1305.4231 [gr-qc]. Crossref, Web of Science, Google Scholar
43. T. Katsuragawa and S. Nojiri, Phys. Rev. D 91 (2015) 8, 084001, arXiv: 1411.1610 [hep-th]. Crossref, Web of Science, Google Scholar
44. T. Katsuragawa, Universe 1(2) (2015) 158, doi: 10.3390/universe1020158. Crossref, Web of Science, Google Scholar
45. M. J. S. Houndjo, D. Momeni, R. Myrzakulov and M. E. Rodrigues, Can. J. Phys. 93 (2015) 377, doi: 10.1139/cjp-2014-0281, arXiv: 1304.1147 [physics.gen-ph]. Crossref, Web of Science, Google Scholar
46. A. Addazi and S. Capozziello, Modern Phys. Lett. A 31(9) (2016) 1650054, doi: 10.1142/S0217732316500541, arXiv: 1602.00485 [gr-qc]. Link, Web of Science, Google Scholar
47. S. W. Hawking, M. J. Perry and A. Strominger, Phys. Rev. Lett. 116(23) (2016) 231301, doi: 10.1103/PhysRevLett.116.231301, arXiv: 1601.00921 [hep-th]. Crossref, Web of Science, Google Scholar
48. G. Dvali, C. Gomez and D. Lst, Phys. Lett. B 753 (2016) 173, doi: 10.1016/j.physletb.2015.11.073, arXiv: 1509.02114 [hep-th]. Crossref, Web of Science, Google Scholar
49. J. Ellis, N. E. Mavromatos and D. V. Nanopoulos, arXiv:1605.01653 [hep-th]. Google Scholar