Abstract
An exact, to order α, study of Čerenkov radiation in QEDis carried out at finitetemperatures T ≠ 0 in isotropic homogeneous media for the first time. By avoidingthe method of combining denominators of Feynman propagators in parametricform, which has led to approximations in the past due to the complexity of theresulting integrals, we use instead a complex integration method and automaticallyevaluate the h 2ω2/E 2contribution to the quantum power spectrum and settle theambiguity associated with this term which has been known to exist at T = 0.We show that complex integration over a so-called pinching singularity actuallysimplifies the problem tremendously over the usual method of combining thedenominators of the propagators. In particular, the imaginary part of the electronself-energy satisfies the correct underlying boundary condition and no contactterm is needed in its evaluation. QED, unlike its classical counterpart, introducesautomatically a cutoff for higher frequencies, emphasizing the importance of thequantum treatment.
Similar content being viewed by others
REFERENCES
K. Ahmed and S. S. Masood (1991). Ann. Phys. 207, 460.
A. Bechler (1981). Ann. Phys. 135, 19.
G. Beck (1948). Phys. Rev. 74, 7.
P. A. Čerenkov (1934). C. R. Acad. Sci. (USSR) 2, 451.
P. A. Čerenkov (1936). C. R. Acad. Sci. (USSR) 3, 413.
R. E. Cutkoski (1960). J. Math. Phys. 1, 429.
R. J. Eden, P. V. Landshoff, D. I. Olive, and J. C. Polkinghorne (1966). The Analytic S-Matrix (Cambridge University Press, Cambridge).
N. N. Efimov and V. F. Skurov (1979). In Proceedings 16th International Conference on Cosmic Rays (Kyoto), Vol. 8, p. 152.
T. Ferbel (1987). Experimental Techniques in High-Energy Physics (Addison-Wesley, Reading, Massachusetts).
L. Fulop (1993). Int. J. Theor. Phys. 32, 2041.
E. P. Garate, H. Kosai, K. Evans, and A. Fisher (1990). App1. Phys. Lett. 56, 1092.
M. S. Ginzburg, I. V. Zotora, N. K. Kovalev, and A. S. Sergeev (1993). Sov. Phys. JETP 77, 893.
D. Hartman, C. Y. Fan, M. P. Gough, K. E. Turner, and T. C. Weekes (1979). Nuovo Cimento A 51, 131.
A. E. I. Johansson, G. Paressutti, and B.-S. Skagerstam (1986). Nucl. Phys. B 278, 324.
J. A. Kong (1975). Phys. Rev. D 12, 3858.
S. Mandelstam (1958). Phys. Rev. 112, 1344.
E. B. Manoukian (1990). Int. J. Theor. Phys. 29, 1313.
E. B. Manoukian (1991). Nuovo Cimento 104A, 1459.
E. B. Manoukian (1993). Phys. Rev. E 48, 543.
E. B. Manoukian (1994). Nuovo Cimento 107A, 503.
E. B. Manoukian and P. Bantitadawit (1999). Physica B 269, 115.
E. B. Manoukian, C.-H. Eab, and A. Ungkitchanukit (1997a), Prog. Theor. Phys. 98, 1.
E. B. Manoukian, A. Ungkitchanukit, and C.-H. Eab (1997b). Physica B 240, 68.
B. D. Orisa (1995). Int. J. Theor. Phys. 34, 545.
M. Pardy (1989). Phys. Lett. A 134, 357.
R. Pratap, K. Sasidharan, and V. Krishan (1993). Phys. Rev. E 47, 640.
R. J. Prothers and J. R. Patterson (1984). J. Phys. G 10, 841.
J. Schwinger, W.-Y. Tsai, and T. Erber (1976). Ann. Phys. 96, 303.
A. Sokolov (1940). Dokl. Akad. Nauk. SSSR 28, 415.
J. Šoln (1997). J. Phys. D 30, 2936.
I. E. Tamm and I. B. Frank (1937). Dokl. Akad. Nauk. SSR 14, 109.
T. Taniuti (1951). Prog. Theor. Phys. 6, 207.
D. A. Tidman (1956). Nuovo Cimento 3, 503.
G. Wang, S. Yu, P. Xun et al. (1991). Appl. Phys. Lett. 59, 2378.
N. K. Zhevago and V. I. Glebov (1997). Sov. Phys. JETP 84, 466.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Manoukian, E.B., Charuchittapan, D. Quantum Electrodynamics of Čerenkov Radiation at Finite Temperature. International Journal of Theoretical Physics 39, 2197–2206 (2000). https://doi.org/10.1023/A:1003724429149
Issue Date:
DOI: https://doi.org/10.1023/A:1003724429149