New use of dimensional continuation illustrated by dE/dx in a plasma and the Lamb shift

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 62, Issue 4, 2000, Pages 1-8

  Brown, Lowell S ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243618823     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.62.045026     Document Type: Article

References (21)

1. L. S. Brown and R. F. Sawyer, "dE/dx Energy Loss of a Charged Particle Traversing a Hot, Dilute Plasma," to be published.
2. L. S. Brown, "Another Use of Dimensional Continuation for Plasma Physics: The Rate at Which Different Species Come Into Equilibrium" (unpublished).
3. K. Huang, Statistical Mechanics, 2nd ed. (Wiley, New York, 1987).
4. A. Lenard, Ann. Phys. (N.Y.) 10, 390 (1960); R. Balescu, Phys. Fluids 3, 52 (1960).
5. A. Lenard, Ann. Phys. (N.Y.) 10, 390 (1960); R. Balescu, Phys. Fluids 3, 52 (1960).
6. An alternative derivation is presented by T. H. Dupree, Phys. Fluids 4, 696 (1961); and a clear pedagogical discussion appears in D. R. Nicholson, Introduction to Plasma Theory (Wiley, New York, 1982).
7. An alternative derivation is presented by T. H. Dupree, Phys. Fluids 4, 696 (1961); and a clear pedagogical discussion appears in D. R. Nicholson, Introduction to Plasma Theory (Wiley, New York, 1982).
8. This result is equivalent to that in Sec. 33 of A. L. Fetter and J. D. Walecka, Quantum Theory of Many-Particle Systems (McGraw-Hill, New York, 1971).
9. J. Lindhard, Dan. Mat. Fys. Medd. 28, 8 (1954).
10. J. Lindhard and A. H. Sorensen, Phys. Rev. A 53, 2443 (1996).
11. This interpolation formula was first obtained by F. Bloch, Ann. Phys. (Leipzig) 16, 285 (1933).
12. H. A. Kramers, Physica 13, 401 (1947).
13. L. S. Brown (unpublished).
14. L. S. Brown, Quantum Field Theory (Cambridge University Press, Cambridge, England, 1992).
15. H. A. Bethe, Phys. Rev. 72, 339 (1947); reprinted in Quantum Electrodynamics, edited by J. Schwinger (Dover, New York, 1958).
16. H. A. Bethe, Phys. Rev. 72, 339 (1947); reprinted in Quantum Electrodynamics, edited by J. Schwinger (Dover, New York, 1958).
17. R. P. Feynman, Phys. Rev. 76, 769 (1949); reprinted in Quantum Electrodynamics, edited by J. Schwinger (Dover, New York, 1958).
18. R. P. Feynman, Phys. Rev. 76, 769 (1949); reprinted in Quantum Electrodynamics, edited by J. Schwinger (Dover, New York, 1958).
19. W. E. Caswell and G. P. Lepage, Phys. Lett. 167B, 437 (1986).
20. C. Itzykson and J.-B. Zuber, Quantum Field Theory (McGraw-Hill, New York, 1980).
21. S. Weinberg, The Quantum Theory of Fields, Vol. I (Cambridge University Press, Cambridge, England, 1995).