Heat kernels and zeta-function regularization for the mass of the supersymmetric kink

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 66, Issue 12, 2002, Pages

  Bordag, Michael ^a   Goldhaber, Alfred Scharff ^a   van Nieuwenhuizen, Peter ^a   Vassilevich, Dmitri ^a  

^a UNIVERSITY OF LEIPZIG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ENERGY TRANSFER; HEAT; MASS; MATHEMATICAL MODEL; QUANTUM MECHANICS; VACUUM;

EID: 0037116055     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.66.125014     Document Type: Article

References (30)

1. R.F. Dashen, B. Hasslacher, and A. Neveu, Phys. Rev. D 10, 4130 (1974).
2. R. Rajaraman, Solitons and Instantons (Elsevier, Amsterdam, 1996);
3. L.D. Faddeev and V.E. Korepin, Phys. Rep. 42, 1 (1978);
4. Phys. Rep.J.L. Gervais, 49, 131 (1979).
5. J.F. Schonfeld, Nucl. Phys. B161, 125 (1979).
6. A. Rebhan and P. van Nieuwenhuizen, Nucl. Phys. B508, 449 (1997).
7. M. Shifman, A. Vainshtein, and M. Voloshin, Phys. Rev. D 59, 045016 (1999).
8. N. Graham and R.L. Jaffe, Nucl. Phys. B544, 432 (1999).
9. J.S. Dowker and R. Critchley, Phys. Rev. D 13, 3224 (1976);
10. S.W. Hawking, Commun. Math. Phys. 55, 133 (1977).For a recent texbook on these methods, see E. Elizalde, Ten Physical Applications of Spectral Zeta-functions (Springer, Berlin, 1995).
11. M. Bordag, U. Mohideen, and V.M. Mostepanenko, Phys. Rep. 353, 1 (2001).
12. N.D. Birrell and P.C. Davies, Quantum Fields in Curved Space (Cambridge University Press, Cambridge, England, 1982).
13. V.A. Fock, Izv. Akad. Nauk SSSR, Ser. Fiz. 4, 551 (1937).
14. J. Schwinger, Phys. Rev. 82, 664 (1951).
15. P.B. Gilkey, Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem (CRC Press, Boca Raton, FL, 1995).
16. T.P. Branson, P.B. Gilkey, K. Kirsten, and D.V. Vassilevich, Nucl. Phys. B563, 603 (1999);
17. Nucl. Phys.P.B. Gilkey, K. Kirsten, and D.V. Vassilevich, B601, 125 (2001);
18. M. Bordag, H. Falomir, E.M. Santangelo, and D.V. Vassilevich, Phys. Rev. D 65, 064032 (2002).
19. H. Nastase, M. Stephanov, P. van Nieuwenhuizen, and A. Rebhan, Nucl. Phys. B542, 471 (1999).
20. A.S. Goldhaber, A. Litvintsev, and P. van Nieuwenhuizen, Phys. Rev. D 64, 045013 (2001).
21. A. Litvintsev and P. van Nieuwenhuizen, hep-th/0010051.
22. M. Bordag, J. Phys. A 28, 755 (1995).
23. A.S. Goldhaber, A. Litvintsev, and P. van Nieuwenhuizen (in preparation).
24. A.S. Goldhaber, A. Litvintsev, and P. van Nieuwenhuizen, “Local Casimir Energy for Solitons,” hep-th/0109110;
25. R. Wimmer, “Quantization of Supersymmetric Solitons,” diploma thesis, Technische Universität, 2001, Report No. TUW-01-22, hep-th/0109119.
26. U. Lindstrom, M. Rocek, and P. van Nieuwenhuizen, YITP-SB-02-18.
27. G.V. Dunne, Phys. Lett. B 467, 238 (1999);
28. A.A. Izquierdo, W.G. Fuertes, M.A. Leon, and J.M. Guilarte, Nucl. Phys. B635, 525 (2002).
29. N. Graham and R.L. Jaffe, Nucl. Phys. B549, 516 (1999).
30. K. Chadan and P.C. Sabatier, Inverse Problems in Quantum Scattering Theory (Springer, Berlin, 1989).