Vacuum Cherenkov radiation in spacelike Maxwell-Chern-Simons theory

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 76, Issue 2, 2007, Pages

  Kaufhold, C ^a   Klinkhamer, F R ^a  

^a UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34547093403     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.76.025024     Document Type: Article

References (53)

1. P.A. Cherenkov, Dokl. Akad. Nauk Ser. Fiz. 2, 451 (1934).
2. S.I. Vavilov, Dokl. Akad. Nauk Ser. Fiz. 2, 457 (1934).
3. P.A. Cherenkov, Phys. Rev. 52, 378 (1937). PHRVAO 0031-899X 10.1103/PhysRev.52.378
4. I.M. Frank and I.E. Tamm, Dokl. Akad. Nauk Ser. Fiz. 14, 109 (1937).
5. V.L. Ginzburg, Zh. Eksp. Teor. Fiz. 10, 589 (1940). ZETFA7 0044-4510
6. R.T. Cox, Phys. Rev. 66, 106 (1944). PHRVAO 0031-899X 10.1103/PhysRev.66.106
7. I.M. Frank, Usp. Fiz. Nauk UFNAAG 0042-1294 143, 111 (1984)
8. [I.M. Frank Sov. Phys. Usp. 27, 385 (1984)]. SOPUAP 0038-5670 10.1070/PU1984v027n05ABEH004300
9. J.V. Jelley, Čerenkov Radiation and Its Applications (Pergamon Press, London, 1958).
10. V.P. Zrelov, Cherenkov Radiation in High-Energy Physics, Vol. I (Israel Program Scientific Translations, Jerusalem, 1970).
11. G.N. Afanasiev, Vavilov-Cherenkov and Synchrotron Radiation: Foundations and Applications (Kluwer Academic, Dordrecht, 2004).
12. A. Einstein, Ann. Phys. (Leipzig) ANPYA2 0003-3804 17, 891 (1905); 10.1002/andp.19053221004
13. reprinted in A. Einstein Ann. Phys. (Leipzig) ANPYA2 0003-3804 14, Suppl., 194 (2005). 10.1002/andp.200590006
14. A. Sommerfeld, Gött. Nachr. 2, 99 (1904);
15. A. Sommerfeld Gött. Nachr. 2, 363 (1904);
16. A. Sommerfeld Gött. Nachr. 3, 201 (1905).
17. In these prerelativity papers, Sommerfeld calculated, in particular, the radiation loss of a hypothetical electron moving with constant velocity v>c in a classical vacuum where electromagnetic waves propagate according to Maxwell theory (c being the speed of light in vacuo). His Eq. (65) of Part II, for example, is to be compared to Eq. (2.18) in Ref., where the last equation mentioned essentially equals the Frank-Tamm formula 3.2 integrated over the frequency range [0,ωc], for constant n and cutoff ωcc/(nd). Apparently, Frank and Tamm became aware of the Sommerfeld papers only after they had completed their calculation. For further details on the (pre)history of the Cherenkov effect, see, e.g., Ref..
18. E.F. Beall, Phys. Rev. D 1, 961 (1970), Sec. III A. PRVDAQ 0556-2821 10.1103/PhysRevD.1.961
19. S.R. Coleman and S.L. Glashow, Phys. Lett. B 405, 249 (1997). PYLBAJ 0370-2693 10.1016/S0370-2693(97)00638-2
20. S.M. Carroll, G.B. Field, and R. Jackiw, Phys. Rev. D 41, 1231 (1990). PRVDAQ 0556-2821 10.1103/PhysRevD.41.1231
21. C. Adam and F.R. Klinkhamer, Nucl. Phys. NUPBBO 0550-3213 B607, 247 (2001). 10.1016/S0550-3213(01)00161-4
22. C. Adam and F.R. Klinkhamer, Nucl. Phys. NUPBBO 0550-3213 B657, 214 (2003). 10.1016/S0550-3213(03)00143-3
23. C. Kaufhold and F.R. Klinkhamer, Nucl. Phys. NUPBBO 0550-3213 B734, 1 (2006). 10.1016/j.nuclphysb.2005.11.001
24. R. Lehnert and R. Potting, Phys. Rev. Lett. 93, 110402 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.110402
25. R. Lehnert and R. Potting, Phys. Rev. D 70, 125010 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.70.125010
26. J. Wardle, R. Perley, and M. Cohen, Phys. Rev. Lett. 79, 1801 (1997). PRLTAO 0031-9007 10.1103/PhysRevLett.79.1801
27. P. Bhattacharjee and G. Sigl, Phys. Rep. 327, 109 (2000). PRPLCM 0370-1573 10.1016/S0370-1573(99)00101-5
28. T. Stanev, in Proceedings of 32nd SLAC Summer Institute on Particle Physics (SSI 2004): Natures Greatest Puzzles, eConf C040802, L020 (2004).
29. E. Armengaud (Pierre Auger Collaboration), Report No. FERMILAB-CONF-05-070-A-E-TD, 2005;
30. E. Armengaud Ph.D. thesis, Université Paris 7, 2006.
31. V.A. Kostelecký, Phys. Rev. D 69, 105009 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.69.105009
32. E. Kant and F.R. Klinkhamer, Nucl. Phys. NUPBBO 0550-3213 B731, 125 (2005).
33. I. Carusotto, M. Artoni, G.C. La Rocca, and F. Bassani, Phys. Rev. Lett. 87, 064801 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.87.064801
34. C. Luo, M. Ibanescu, S.G. Johnson, and J.D. Joannopoulos, Science 299, 368 (2003). SCIEAS 0036-8075 10.1126/science.1079549
35. W.K.H. Panofsky and M. Phillips, Classical Electricity and Magnetism (Addison-Wesley, Reading, MA, 1962), 2nd ed.
36. L.D. Landau, E.M. Lifshitz, and L.P. Pitaevskii, Electrodynamics of Continuous Media (Butterworth-Heinemann, Oxford, 1984), 2nd ed.
37. J.D. Jackson, Classical Electrodynamics (Wiley, New York, 1999), 3rd ed.
38. S. Chadha and H.B. Nielsen, Nucl. Phys. NUPBBO 0550-3213 B217, 125 (1983). 10.1016/0550-3213(83)90081-0
39. D. Colladay and V.A. Kostelecký, Phys. Rev. D 58, 116002 (1998). PRVDAQ 0556-2821 10.1103/PhysRevD.58.116002
40. B. Altschul, Phys. Rev. Lett. 98, 041603 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.041603
41. B. Altschul, Phys. Rev. D 75, 105003 (2007). PRVDAQ 0556-2821 10.1103/PhysRevD.75.105003
42. V.A. Kostelecký and M. Mewes, Phys. Rev. D 66, 056005 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.66.056005
43. C.D. Carone, M. Sher, and M. Vanderhaeghen, Phys. Rev. D 74, 077901 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.74.077901
44. P.L. Stanwix, M.E. Tobar, P. Wolf, C.R. Locke, and E.N. Ivanov, Phys. Rev. D 74, 081101 (2006); PRVDAQ 0556-2821 10.1103/PhysRevD.74.081101
45. M. Hohensee, A. Glenday, C.H. Li, M.E. Tobar, and P. Wolf, Phys. Rev. D PRVDAQ 0556-2821 75, 049902(E) (2007). 10.1103/PhysRevD.75.049902
46. D.J. Bird, Astrophys. J. 441, 144 (1995). ASJOAB 0004-637X 10.1086/175344
47. M. Risse, P. Homola, D. Gora, J. Pekala, B. Wilczynska, and H. Wilczynski, Astropart. Phys. 21, 479 (2004). APHYEE 0927-6505 10.1016/j.astropartphys.2004.04.003
48. F.R. Klinkhamer, Nucl. Phys. NUPBBO 0550-3213 B578, 277 (2000). 10.1016/S0550-3213(00)00117-6
49. F.R. Klinkhamer and J. Schimmel, Nucl. Phys. NUPBBO 0550-3213 B639, 241 (2002). 10.1016/S0550-3213(02)00543-6
50. F.R. Klinkhamer, in CP Violation and the Flavour Puzzle: Symposium in Honour of Gustavo C. Branco, edited by, D. Emmanuel-Costa,, (Poligrafia Inspektoratu, Kraków, Poland, 2005), pp. 157-191.
51. J. Collins, A. Perez, D. Sudarsky, L. Urrutia, and H. Vucetich, Phys. Rev. Lett. 93, 191301 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.191301
52. S. Bernadotte and F.R. Klinkhamer, Phys. Rev. D 75, 024028 (2007). PRVDAQ 0556-2821 10.1103/PhysRevD.75.024028
53. S. Wolfram, Mathematica (Cambridge University Press, Cambridge, England, 1999).