Canonical form of Euler-Lagrange equations and gauge symmetries

Journal of Physics A: Mathematical and General

Volumn 36, Issue 23, 2003, Pages 6587-6609

  Geyer, B ^a   Gitman, D M ^b   Tyutin, I V ^c  

^a UNIVERSITY OF LEIPZIG   (Germany)

^b UNIVERSITY OF SÃO PAULO   (Brazil)

^c LEBEDEV PHYSICAL INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038772207     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/36/23/321     Document Type: Article

References (25)

1. Dirac P A M 1964 Lectures on Quantum Mechanics (New York: Belfer Graduate School of Science, Yeshiva University)
2. Gitman D M and Tyutin I V 1990 Quantization of Fields with Constraints (Berlin: Springer)
3. Henneaux M and Teitelboim C 1992 Quantization of Gauge Systems (Princeton, NJ: Princeton University Press)
4. Gitman D M and Tyutin I V 2002 Fine structure of constraints in Hamiltonian formulation Grav. Cosmol. 8 138-40 Olshaneisky M and Vainstein A 2002 Michael Marinov Memorial Volume: Multiple Facets of Quantization and Supersymmetry (Singapore: World Publishing) pp 184-204
5. Gitman D M and Tyutin I V 2002 Fine structure of constraints in Hamiltonian formulation Grav. Cosmol. 8 138-40 Olshaneisky M and Vainstein A 2002 Michael Marinov Memorial Volume: Multiple Facets of Quantization and Supersymmetry (Singapore: World Publishing) pp 184-204
6. Borochov V A and Tyutin IV 1998 Yad. Fiz. 61 1715 (Engl. transl. Phys. At. Nucl. 61 1603) Borochov V A and Tyutin I V 1999 Yad. Fiz. 62 1137 (Engl. transl. Phys. At. Nucl. 62 1070)
7. Borochov V A and Tyutin IV 1998 Yad. Fiz. 61 1715 (Engl. transl. Phys. At. Nucl. 61 1603) Borochov V A and Tyutin I V 1999 Yad. Fiz. 62 1137 (Engl. transl. Phys. At. Nucl. 62 1070)
8. Borochov V A and Tyutin IV 1998 Yad. Fiz. 61 1715 (Engl. transl. Phys. At. Nucl. 61 1603) Borochov V A and Tyutin I V 1999 Yad. Fiz. 62 1137 (Engl. transl. Phys. At. Nucl. 62 1070)
9. Borochov V A and Tyutin IV 1998 Yad. Fiz. 61 1715 (Engl. transl. Phys. At. Nucl. 61 1603) Borochov V A and Tyutin I V 1999 Yad. Fiz. 62 1137 (Engl. transl. Phys. At. Nucl. 62 1070)
10. Batalin I A and Vilkovisky G A 1981 Phys. Lett. B 102 27 Batalin I A and Vilkovisky G A 1983 Phys. Rev. D 28 2567
11. Batalin I A and Vilkovisky G A 1981 Phys. Lett. B 102 27 Batalin I A and Vilkovisky G A 1983 Phys. Rev. D 28 2567
12. Gitman D M and Tyutin IV 1983 Canonical quantization of singular theories Izv. Vuzov Fiz. 5 3 (Engl. transl. 1983 Sov. Phys. J. 5 423)
13. Gitman D M and Tyutin IV 1983 Canonical quantization of singular theories Izv. Vuzov Fiz. 5 3 (Engl. transl. 1983 Sov. Phys. J. 5 423)
14. Gitman D M and Tyutin IV 1987 The structure of gauge theories in the Lagrangian and Hamiltonian formalisms Quantum Field Theory and Quantum Statistics vol I ed I Batalin, C Isham and G Vilkovisky (Bristol: Hilger) pp 143-64
15. Olver P 1986 Applications of Lie Groups to Differential Equations (Graduate Texts in Mathematics vol 107) (Berlin: Springer) Kupershmidt B A 1980 Geometry of Jet Bundles and Structure of Lagrangian and Hamiltonian Formalism (Lecture Notes in Mathematics vol 775) (Berlin: Springer) pp 162-218 Krasilshchik I S, Lychagin V V and Vinogradov A M 1986 Geometry of jet spaces and nonlinear partial differential equations Adv. Studies Contemp. Math. (New York: Gordon and Breach)
16. Olver P 1986 Applications of Lie Groups to Differential Equations (Graduate Texts in Mathematics vol 107) (Berlin: Springer) Kupershmidt B A 1980 Geometry of Jet Bundles and Structure of Lagrangian and Hamiltonian Formalism (Lecture Notes in Mathematics vol 775) (Berlin: Springer) pp 162-218 Krasilshchik I S, Lychagin V V and Vinogradov A M 1986 Geometry of jet spaces and nonlinear partial differential equations Adv. Studies Contemp. Math. (New York: Gordon and Breach)
17. Olver P 1986 Applications of Lie Groups to Differential Equations (Graduate Texts in Mathematics vol 107) (Berlin: Springer) Kupershmidt B A 1980 Geometry of Jet Bundles and Structure of Lagrangian and Hamiltonian Formalism (Lecture Notes in Mathematics vol 775) (Berlin: Springer) pp 162-218 Krasilshchik I S, Lychagin V V and Vinogradov A M 1986 Geometry of jet spaces and nonlinear partial differential equations Adv. Studies Contemp. Math. (New York: Gordon and Breach)
18. Gitman D M and Tyutin IV 2002 Nucl. Phys. B 630 509
19. Gantmacher F R 1959 The Theory of Matrices vol 1 (New York: Chelsea) Gantmacher F R 1986 Matrizentheorie (Berlin: Dt. Verlag Wiss)
20. Gantmacher F R 1959 The Theory of Matrices vol 1 (New York: Chelsea) Gantmacher F R 1986 Matrizentheorie (Berlin: Dt. Verlag Wiss)
21. Gitman D M, Lyakhovich S L and Tyutin IV 1983 Izv. Vuzov Fiz. 8 61 (Engl. transl. Sov. Phys. J. 8 730)
22. Gitman D M, Lyakhovich S L and Tyutin IV 1983 Izv. Vuzov Fiz. 8 61 (Engl. transl. Sov. Phys. J. 8 730)
23. Dieudonné J 1968 Foundations of Modem Analysis (New York: Academic) Fichtenholz G M 1989 Differential- und Integralrechnung vol I (Berlin: Dt. Verlag Wiss)
24. Dieudonné J 1968 Foundations of Modem Analysis (New York: Academic) Fichtenholz G M 1989 Differential- und Integralrechnung vol I (Berlin: Dt. Verlag Wiss)
25. Faddeev L and Jackiw R 1988 Phys. Rev. Lett. 60 1692