Pseudoinstantons in metric-affine field theory

General Relativity and Gravitation

Volumn 34, Issue 8, 2002, Pages 1239-1265

  Vassiliev, Dmitri ^a  

^a University of Bath   (United Kingdom)

Author keywords

Gravity; Instanton; Neutrino; Torsion; Yang Mills equation

Indexed keywords

EID: 0141788043     PISSN: 00017701     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1019730602253     Document Type: Article

References (61)

1. Hehl, F. W., McCrea, J. D., Mielke, E. W., and Ne'eman, Y. (1995). Phys. Rep. 258, 1-171.
2. Landau, L. D., and Lifshitz, E. M. (1986). Theory of Elasticity (Course of Theoretical Physics vol 7) 3d edn, Butterworth-Heinemann, Oxford.
3. Weyl, H. (1919). Ann. Phys. (Leipz.) 59, 101-133.
4. Eisenhart, L. P. (2001). Non-Riemannian Geometry 11th printing, American Mathematical Society, Providence, Rhode Island.
5. Yang, C. N. (1974). Phys. Rev. Lett. 33, 445-447.
6. Mielke, E. W. (1981). Gen. Rel. Grav. 13, 175-187,
7. Stephenson, G. (1958). Nuovo Cimento 9, 263-269.
8. Buchdahl, H. A. (1959). Mathematical Reviews 20, 1238.
9. Higgs, P. W. (1959). Nuovo Cimento 11, 816-820.
10. Thompson, A. H. (1975). Phys. Rev. Lett. 34, 507-508.
11. Pavelle, R. (1975). Phys. Rev. Lett. 34, 1114.
12. Thompson, A. H. (1975). Phys. Rev. Lett. 35, 320-322.
13. Fairchild, E. E., Jr. (1976). Phys. Rev. D 14 384-391.
14. Fairchild, E. E., Jr. (1976). Phys. Rev. D 14 2833.
15. Olesen, P. (1977). Phys. Lett. 71B, 189-190.
16. Wilczek, F. (1977). In: Quark Confinement and Field theory, eds. D. R. Stump and D. H. Weingarten, Wiley-Interscience, New York, 211-219.
17. Atiyah, M. F. (1979). Geometry of Yang-Mills Fields, Accademia Nazionale dei Lincei, Scuola Normale Superiore, Pisa.
18. King, A. D. and Vassiliev, D. (2001). Class. Quantum Grav. 18, 2317-2329.
19. Nakahara, M. (1998). Geometry, Topology and Physics, Institute of Physics Publishing, Bristol.
20. Vassiliev, D. (2001). In: Noncommutative Structures in Mathematics and Physics, eds. S. Duplij and J. Wess, Kluwer Academic Publishers, Dordrecht, 427-439.
21. Kobayashi, S. and Nomizu, K. (1969). Foundations of Differential Geometry vol 2, Interscience, New York.
22. Steenrod, N. (1974). The Topology of Fibre Bundles 9th printing, Princeton University Press, Princeton New Jersey.
23. Lanczos, C. (1949). Rev. Mod. Phys. 21, 497-502.
24. Singh, P. and Griffiths, J. B. (1990). Gen. Rel. Grav. 22, 947-956.
25. Jogia, S. and Griffiths, J. B. (1980). Gen. Rel. Grav. 12, 597-617.
26. Singh, P. and Griffiths, J. B. (1990). Gen. Rel. Grav. 22, 269-287.
27. Adak, M., Dereli, T., and Ryder, L. H. (2001). Class. Quantum Grav. 18, 1503-1512.
28. Weyl, H. (1952). Space-Time-Matter Engl. transl. of 4th edn, Dover Publications, New York.
29. Hehl, F. W., McCrea, J. D., and Mielke, E. W. (1988). In: Exact Sciences and their Philosophical Foundations, eds. W. Deppert, K. Hübner, A. Oberschelp, and V. Weidemann, Verlag Peter Lang, Frankfurt am Main, 241-310.
30. Catto, D., Francaviglia, M., and Kijowski, J. (1980). Bull. Acad. Polon. Sci. Sér. Sci. Phys. Astronom. 28, 179-186.
31. Ferraris, M. and Kijowski, J. (1982). Gen. Rel. Grav. 14, 37-47.
32. Jakubiec, A. and Kijowski, J. (1985). Lett. Math. Phys. 9, 1-11.
33. Jakubiec, A. and Kijowski, J. (1989). J. Math. Phys. 30, 1073-1076.
34. Jakubiec, A. and Kijowski, J. (1989). J. Math. Phys. 30, 1077-1080.
35. García, A., Lämmerzahl, C., Macías, A., Mielke, E. W., and Socorro, J. (1998). Phys. Rev. D 57, 3457-3462.
36. García, A., Hehl, F. W., Lämmerzahl, C., Macías, A., and Socorro, J. (1998). Class. Quantum Grav. 15, 1793-1799.
37. García, A., Macías, A., and Socorro, J. (1999). Class. Quantum Grav. 16, 93-100.
38. García, A., Macías, A., Puetzfeld, D., and Socorro, J. (2000). Phys. Rev. D 62, 044021.
39. Macías, A., Lämmerzahl, C., and García, A. (2000). J. Math. Phys. 41, 6369-6380.
40. Levitin, M. R. (1992). C. R. Acad. Sci. Sér. I 315, 925-930.
41. Safarov, Yu. and Vassiliev, D. (1998). The asymptotic distribution of eigenvalues of partial differential operators, American Mathematical Society, Providence, Rhode Island.
42. Aslanyan, A. G. and Lidskii, V. B. (1974). The distribution of eigenfrequencies of thin elastic shells, Nauka, Moscow. In Russian.
43. Gol'denveizer, A. L., Lidskii, V. B., and Tovstik, P. E. (1979). Free vibrations of thin elastic shells, Nauka, Moscow. In Russian.
44. Sakharov, A. D. (2000). Gen. Rel. Grav. 32, 365-367.
45. Schmidt, H.-J. (2000). Gen. Rel. Grav. 32, 361-363.
46. Macrae, K. I. and Riegert, R. J. (1981). Phys. Rev. D 24, 2555-2560.
47. Frenkel, A. and Brecher, K. (1982). Phys. Rev. D 26, 368-372.
48. Stelle, K. S. (1978). Gen. Rel. Grav. 9, 353-371.
49. Müller, V. and Schmidt, H.-J. (1985). Gen. Rel. Grav. 17, 769-781.
50. Schmidt, H.-J. and Müller, V. (1985). Gen. Rel. Grav. 17, 971-980.
51. Jakubiec, A. and Kijowski, J. (1988). Phys. Rev. D 37, 1406-1409.
52. Kijowski, J. (1978). Gen. Rel. Grav. 9, 857-877.
53. Kijowski, J. (1980). Lecture Notes in Math. 836, 455-461.
54. Ferraris, M. and Kijowski, J. (1981). Lett. Math. Phys. 5, 127-135.
55. Ferraris, M. and Kijowski, J. (1982). Gen. Rel. Grav. 14, 165-180.
56. Jakubiec, A. and Kijowski, J. (1987). Gen. Rel. Grav. 19, 719-727.
57. Bach, R. (1921). Math. Zeitschr. 9, 110-135.
58. Dzhunushaliev, V. and Schmidt, H.-J. (2000). J. Math. Phys. 41, 3007-3015.
59. Schmidt, H.-J. (1984). Ann. Phys. (Leipz.) 41, 435-436; See gr-qc/0105108.
60. Berestetskii, V. B., Lifshitz, E. M., and Pitaevskii, L. P. (1982). Quantum Electrodynamics (Course of Theoretical Physics vol 4) 2nd edn, Pergamon Press, Oxford.
61. Buchbinder, I. L. and Kuzenko, S. M. (1998). Ideas and Methods of Supersymmetry and Supergravity, Institute of Physics Publishing, Bristol.