Quantization of a spinning particle in an arbitrary background

Classical and Quantum Gravity

Volumn 18, Issue 15, 2001, Pages 2989-2998

  Gavrilov, S P ^a,c   Gitman, D M ^b  

^a FEDERAL UNIVERSITY OF SERGIPE   (Brazil)

^b UNIVERSITY OF SÃO PAULO   (Brazil)

^c TOMSK STATE PEDAGOGICAL UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035537050     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/18/15/312     Document Type: Article

References (28)

1. Berezin F A and Marinov M S 1975 JETP Lett. 21 320 Berezin F A and Marinov M S 1977 Ann. Phys. 104 336
2. Berezin F A and Marinov M S 1975 JETP Lett. 21 320 Berezin F A and Marinov M S 1977 Ann. Phys. 104 336
3. Casalbuoni R 1976 Nuovo Cimento A 33 115 Casalbuoni R 1976 Nuovo Cimento A 33 389 Barducci A, Casalbuoni R and Lusanna L 1976 Nuovo Cimento A 35 377 Brink L, Deser S, Zumino B, di Vecchia P and Howe P 1976 Phys. Lett. B 64 435 Collins P A and Tucker R W 1977 Nucl. Phys. B 121 307 Brink L, di Vechia P and Howe P 1977 Nucl. Phys. B 118 76 Barducci A, Casalbuoni R and Lusanna L 1977 Nucl. Phys. B 124 93 Barducci A, Casalbuoni R and Lusanna L 1977 Nucl. Phys. B 124 521 Balachandran A P, Salomonson P, Skagerstam B and Winnberg J 1977 Phys. Rev. D 15 2308 Gitman D and Tyutin I 1990 JETP Lett. 51 214 Gitman D and Tyutin I 1990 Class. Quantum Grav. 7 2131
4. Casalbuoni R 1976 Nuovo Cimento A 33 115 Casalbuoni R 1976 Nuovo Cimento A 33 389 Barducci A, Casalbuoni R and Lusanna L 1976 Nuovo Cimento A 35 377 Brink L, Deser S, Zumino B, di Vecchia P and Howe P 1976 Phys. Lett. B 64 435 Collins P A and Tucker R W 1977 Nucl. Phys. B 121 307 Brink L, di Vechia P and Howe P 1977 Nucl. Phys. B 118 76 Barducci A, Casalbuoni R and Lusanna L 1977 Nucl. Phys. B 124 93 Barducci A, Casalbuoni R and Lusanna L 1977 Nucl. Phys. B 124 521 Balachandran A P, Salomonson P, Skagerstam B and Winnberg J 1977 Phys. Rev. D 15 2308 Gitman D and Tyutin I 1990 JETP Lett. 51 214 Gitman D and Tyutin I 1990 Class. Quantum Grav. 7 2131
5. Casalbuoni R 1976 Nuovo Cimento A 33 115 Casalbuoni R 1976 Nuovo Cimento A 33 389 Barducci A, Casalbuoni R and Lusanna L 1976 Nuovo Cimento A 35 377 Brink L, Deser S, Zumino B, di Vecchia P and Howe P 1976 Phys. Lett. B 64 435 Collins P A and Tucker R W 1977 Nucl. Phys. B 121 307 Brink L, di Vechia P and Howe P 1977 Nucl. Phys. B 118 76 Barducci A, Casalbuoni R and Lusanna L 1977 Nucl. Phys. B 124 93 Barducci A, Casalbuoni R and Lusanna L 1977 Nucl. Phys. B 124 521 Balachandran A P, Salomonson P, Skagerstam B and Winnberg J 1977 Phys. Rev. D 15 2308 Gitman D and Tyutin I 1990 JETP Lett. 51 214 Gitman D and Tyutin I 1990 Class. Quantum Grav. 7 2131
6. Casalbuoni R 1976 Nuovo Cimento A 33 115 Casalbuoni R 1976 Nuovo Cimento A 33 389 Barducci A, Casalbuoni R and Lusanna L 1976 Nuovo Cimento A 35 377 Brink L, Deser S, Zumino B, di Vecchia P and Howe P 1976 Phys. Lett. B 64 435 Collins P A and Tucker R W 1977 Nucl. Phys. B 121 307 Brink L, di Vechia P and Howe P 1977 Nucl. Phys. B 118 76 Barducci A, Casalbuoni R and Lusanna L 1977 Nucl. Phys. B 124 93 Barducci A, Casalbuoni R and Lusanna L 1977 Nucl. Phys. B 124 521 Balachandran A P, Salomonson P, Skagerstam B and Winnberg J 1977 Phys. Rev. D 15 2308 Gitman D and Tyutin I 1990 JETP Lett. 51 214 Gitman D and Tyutin I 1990 Class. Quantum Grav. 7 2131
7. Casalbuoni R 1976 Nuovo Cimento A 33 115 Casalbuoni R 1976 Nuovo Cimento A 33 389 Barducci A, Casalbuoni R and Lusanna L 1976 Nuovo Cimento A 35 377 Brink L, Deser S, Zumino B, di Vecchia P and Howe P 1976 Phys. Lett. B 64 435 Collins P A and Tucker R W 1977 Nucl. Phys. B 121 307 Brink L, di Vechia P and Howe P 1977 Nucl. Phys. B 118 76 Barducci A, Casalbuoni R and Lusanna L 1977 Nucl. Phys. B 124 93 Barducci A, Casalbuoni R and Lusanna L 1977 Nucl. Phys. B 124 521 Balachandran A P, Salomonson P, Skagerstam B and Winnberg J 1977 Phys. Rev. D 15 2308 Gitman D and Tyutin I 1990 JETP Lett. 51 214 Gitman D and Tyutin I 1990 Class. Quantum Grav. 7 2131
8. Casalbuoni R 1976 Nuovo Cimento A 33 115 Casalbuoni R 1976 Nuovo Cimento A 33 389 Barducci A, Casalbuoni R and Lusanna L 1976 Nuovo Cimento A 35 377 Brink L, Deser S, Zumino B, di Vecchia P and Howe P 1976 Phys. Lett. B 64 435 Collins P A and Tucker R W 1977 Nucl. Phys. B 121 307 Brink L, di Vechia P and Howe P 1977 Nucl. Phys. B 118 76 Barducci A, Casalbuoni R and Lusanna L 1977 Nucl. Phys. B 124 93 Barducci A, Casalbuoni R and Lusanna L 1977 Nucl. Phys. B 124 521 Balachandran A P, Salomonson P, Skagerstam B and Winnberg J 1977 Phys. Rev. D 15 2308 Gitman D and Tyutin I 1990 JETP Lett. 51 214 Gitman D and Tyutin I 1990 Class. Quantum Grav. 7 2131
9. Casalbuoni R 1976 Nuovo Cimento A 33 115 Casalbuoni R 1976 Nuovo Cimento A 33 389 Barducci A, Casalbuoni R and Lusanna L 1976 Nuovo Cimento A 35 377 Brink L, Deser S, Zumino B, di Vecchia P and Howe P 1976 Phys. Lett. B 64 435 Collins P A and Tucker R W 1977 Nucl. Phys. B 121 307 Brink L, di Vechia P and Howe P 1977 Nucl. Phys. B 118 76 Barducci A, Casalbuoni R and Lusanna L 1977 Nucl. Phys. B 124 93 Barducci A, Casalbuoni R and Lusanna L 1977 Nucl. Phys. B 124 521 Balachandran A P, Salomonson P, Skagerstam B and Winnberg J 1977 Phys. Rev. D 15 2308 Gitman D and Tyutin I 1990 JETP Lett. 51 214 Gitman D and Tyutin I 1990 Class. Quantum Grav. 7 2131
10. Casalbuoni R 1976 Nuovo Cimento A 33 115 Casalbuoni R 1976 Nuovo Cimento A 33 389 Barducci A, Casalbuoni R and Lusanna L 1976 Nuovo Cimento A 35 377 Brink L, Deser S, Zumino B, di Vecchia P and Howe P 1976 Phys. Lett. B 64 435 Collins P A and Tucker R W 1977 Nucl. Phys. B 121 307 Brink L, di Vechia P and Howe P 1977 Nucl. Phys. B 118 76 Barducci A, Casalbuoni R and Lusanna L 1977 Nucl. Phys. B 124 93 Barducci A, Casalbuoni R and Lusanna L 1977 Nucl. Phys. B 124 521 Balachandran A P, Salomonson P, Skagerstam B and Winnberg J 1977 Phys. Rev. D 15 2308 Gitman D and Tyutin I 1990 JETP Lett. 51 214 Gitman D and Tyutin I 1990 Class. Quantum Grav. 7 2131
11. Casalbuoni R 1976 Nuovo Cimento A 33 115 Casalbuoni R 1976 Nuovo Cimento A 33 389 Barducci A, Casalbuoni R and Lusanna L 1976 Nuovo Cimento A 35 377 Brink L, Deser S, Zumino B, di Vecchia P and Howe P 1976 Phys. Lett. B 64 435 Collins P A and Tucker R W 1977 Nucl. Phys. B 121 307 Brink L, di Vechia P and Howe P 1977 Nucl. Phys. B 118 76 Barducci A, Casalbuoni R and Lusanna L 1977 Nucl. Phys. B 124 93 Barducci A, Casalbuoni R and Lusanna L 1977 Nucl. Phys. B 124 521 Balachandran A P, Salomonson P, Skagerstam B and Winnberg J 1977 Phys. Rev. D 15 2308 Gitman D and Tyutin I 1990 JETP Lett. 51 214 Gitman D and Tyutin I 1990 Class. Quantum Grav. 7 2131
12. Casalbuoni R 1976 Nuovo Cimento A 33 115 Casalbuoni R 1976 Nuovo Cimento A 33 389 Barducci A, Casalbuoni R and Lusanna L 1976 Nuovo Cimento A 35 377 Brink L, Deser S, Zumino B, di Vecchia P and Howe P 1976 Phys. Lett. B 64 435 Collins P A and Tucker R W 1977 Nucl. Phys. B 121 307 Brink L, di Vechia P and Howe P 1977 Nucl. Phys. B 118 76 Barducci A, Casalbuoni R and Lusanna L 1977 Nucl. Phys. B 124 93 Barducci A, Casalbuoni R and Lusanna L 1977 Nucl. Phys. B 124 521 Balachandran A P, Salomonson P, Skagerstam B and Winnberg J 1977 Phys. Rev. D 15 2308 Gitman D and Tyutin I 1990 JETP Lett. 51 214 Gitman D and Tyutin I 1990 Class. Quantum Grav. 7 2131
13. Casalbuoni R 1976 Nuovo Cimento A 33 115 Casalbuoni R 1976 Nuovo Cimento A 33 389 Barducci A, Casalbuoni R and Lusanna L 1976 Nuovo Cimento A 35 377 Brink L, Deser S, Zumino B, di Vecchia P and Howe P 1976 Phys. Lett. B 64 435 Collins P A and Tucker R W 1977 Nucl. Phys. B 121 307 Brink L, di Vechia P and Howe P 1977 Nucl. Phys. B 118 76 Barducci A, Casalbuoni R and Lusanna L 1977 Nucl. Phys. B 124 93 Barducci A, Casalbuoni R and Lusanna L 1977 Nucl. Phys. B 124 521 Balachandran A P, Salomonson P, Skagerstam B and Winnberg J 1977 Phys. Rev. D 15 2308 Gitman D and Tyutin I 1990 JETP Lett. 51 214 Gitman D and Tyutin I 1990 Class. Quantum Grav. 7 2131
14. Gavrilov S P and Gitman D M 2000 Class. Quantum Grav. 17 L133 Gavrilov S P and Gitman D M 2000 Int. J. Mod. Phys. A 15 4499
15. Gavrilov S P and Gitman D M 2000 Class. Quantum Grav. 17 L133 Gavrilov S P and Gitman D M 2000 Int. J. Mod. Phys. A 15 4499
16. DeWitt B 1952 Phys. Rev. 85 653 Marinov M 1980 Phys. Rep. 60 1 Ogawa N, Fujii K and Kobushukin A 1990 Prog. Theor. Phys. 83 894 Foerster A, Girotti H O and Kuhn P S 1994 Phys. Lett. A 195 301 Saa A 1997 Class. Quantum Grav. 14 385
17. DeWitt B 1952 Phys. Rev. 85 653 Marinov M 1980 Phys. Rep. 60 1 Ogawa N, Fujii K and Kobushukin A 1990 Prog. Theor. Phys. 83 894 Foerster A, Girotti H O and Kuhn P S 1994 Phys. Lett. A 195 301 Saa A 1997 Class. Quantum Grav. 14 385
18. DeWitt B 1952 Phys. Rev. 85 653 Marinov M 1980 Phys. Rep. 60 1 Ogawa N, Fujii K and Kobushukin A 1990 Prog. Theor. Phys. 83 894 Foerster A, Girotti H O and Kuhn P S 1994 Phys. Lett. A 195 301 Saa A 1997 Class. Quantum Grav. 14 385
19. DeWitt B 1952 Phys. Rev. 85 653 Marinov M 1980 Phys. Rep. 60 1 Ogawa N, Fujii K and Kobushukin A 1990 Prog. Theor. Phys. 83 894 Foerster A, Girotti H O and Kuhn P S 1994 Phys. Lett. A 195 301 Saa A 1997 Class. Quantum Grav. 14 385
20. DeWitt B 1952 Phys. Rev. 85 653 Marinov M 1980 Phys. Rep. 60 1 Ogawa N, Fujii K and Kobushukin A 1990 Prog. Theor. Phys. 83 894 Foerster A, Girotti H O and Kuhn P S 1994 Phys. Lett. A 195 301 Saa A 1997 Class. Quantum Grav. 14 385
21. Kibble T W 1961 J. Math. Phys. 2212 DeWitt B 1965 Dynamical Theory of Groups and Fields (New York: Gordon and Breach) Weinberg S 1972 Gravitation and Cosmology (New York: Wiley)
22. Kibble T W 1961 J. Math. Phys. 2212 DeWitt B 1965 Dynamical Theory of Groups and Fields (New York: Gordon and Breach) Weinberg S 1972 Gravitation and Cosmology (New York: Wiley)
23. Kibble T W 1961 J. Math. Phys. 2212 DeWitt B 1965 Dynamical Theory of Groups and Fields (New York: Gordon and Breach) Weinberg S 1972 Gravitation and Cosmology (New York: Wiley)
24. Geyer B, Gitman D M and Shapiro I L 2000 Int. J. Mod. Phys. A 15 3861
25. Barducci A, Casalbuoni R and Lusanna L 1977 Nucl. Phys. B 124 521
26. Dirac P 1964 Lectures on Quantum Mechanics (New York: Yeshiva University) Gitman D and Tyutin I 1990 Quantization of Fields with Constraints (Berlin: Springer) Henneaux M and Teitelboim C 1992 Quantization of Gauge Systems (Princeton, NJ: Princeton University Press)
27. Dirac P 1964 Lectures on Quantum Mechanics (New York: Yeshiva University) Gitman D and Tyutin I 1990 Quantization of Fields with Constraints (Berlin: Springer) Henneaux M and Teitelboim C 1992 Quantization of Gauge Systems (Princeton, NJ: Princeton University Press)
28. Dirac P 1964 Lectures on Quantum Mechanics (New York: Yeshiva University) Gitman D and Tyutin I 1990 Quantization of Fields with Constraints (Berlin: Springer) Henneaux M and Teitelboim C 1992 Quantization of Gauge Systems (Princeton, NJ: Princeton University Press)