Gauge transformation in Einstein-Yang-Mills theories

Journal of Mathematical Physics

Volumn 41, Issue 8, 2000, Pages 5557-5571

  Pons, J M ^a   Salisbury, D C ^b   Shepley, L C ^c  

^a UNIVERSITY OF BARCELONA   (Spain)

^b AUSTIN COLLEGE   (United States)

^c The University of Texas at Austin   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034336588     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.533425     Document Type: Article

References (20)

1. J. M. Pons, D. C. Salisbury, and L. C. Shepley, "Gauge transformations in the Lagrangian and Hamiltonian formalisms of generally covariant systems," Phys. Rev. D 55, 658-668 (1997); gr-qc/9612037.
2. J. M. Pons and L. C. Shepley, "Evolutionary laws, initial conditions and gauge fixing in constrained systems," Class. Quantum Grav. 12, 1771-1790 (1995); gr-qc/9508052.
3. D. C. Salisbury and K. Sundermeyer, "The realization in phase space of general coordinate trarsformations," Phys. Rev. D 27, 740-756 (1983).
4. D. C. Salisbury and K. Sundermeyer, "The local symmetries of the Einstein Yang-Mills theory as phase space transformations," Phys. Rev. D 27, 757-763 (1983).
5. J. Lee and R. M. Wald, "Local symmetries and constraints," J. Math. Phys. 31, 725-743 (1990).
6. R. Jackiw, "Gauge-covariant conformal transformations," Phys Rev. Lett. 41, 1635-1638 (1978).
7. R. Jackiw and N. S. Manton, "Symmetries and conservation laws in gauge theories," Ann. Phys. (NY) 127, 257-273 (1980).
8. R. Jackiw, "Invariance, symmetry and periodicity in gauge theories," in Diverse Topics in Theoretical and Mathematical Physics (World Scientific, Singapore, 1995), pp. 239-273 [this paper originally appeared in Acta Phys. Austriaca, Suppl. XXII, 383 (1980)].
9. R. Jackiw, "Invariance, symmetry and periodicity in gauge theories," in Diverse Topics in Theoretical and Mathematical Physics (World Scientific, Singapore, 1995), pp. 239-273 [this paper originally appeared in Acta Phys. Austriaca, Suppl. XXII, 383 (1980)].
10. J. M. Pons, D. C. Salisbury, and L. C. Shepley, "Reduced phase space: Quotienting procedure for gauge theories," J. Phys. A 32, 419-430 (1999); math-ph/9811029.
11. J. N. Goldberg, "Triad approach to the Hamiltonian of general relativity," Phys. Rev. D 37, 2116-2120 (1988).
12. J. L. Friedman and I. Jack, "Formal commutators of the gravitational constraints are not well defined: A translation of Ashtekar's ordering to the Schrodinger representation," Phys. Rev. D 37, 3495-3504 (1988).
13. A. Ashtekar, Lectures on Non-Perturbative Canonical Gravity, Notes prepared in collaboration with R. S. Tate (World Scientific, Singapore, 1991).
14. 2," J. Math. Phys. 30, 1345-1350 (1989).
15. J. A. García and J. M. Pons, "Faddeev-Jackiw approach to gauge theories and ineffective constraints," Int. J. Mod. Phys. A 13, 3691-3710 (1998); hep-th/9803222.
16. K. Kamimura, "Singular Lagrangian and constrained Hamiltonian systems, generalized canonical formalism," Nuovo Cimento Soc. Ital. Fis., B 68, 33-54 (1982).
17. R. M. Wald, General Relativity (University of Chicago Press, Chicago, 1984).
18. X. Gràcia and J. M. Pons, "Noether symmetries and commutativity properties for gauge systems" (unpublished).
19. J. M. Pons, D. C. Salisbury, and L. C. Shepley, "The gauge group in the real triad formulation of general relativity," Gen. Relativ. Gravit, (to be published).
20. J. M. Pons, D. C. Salisbury, and L. C. Shepley, "The gauge group and the reality conditions in Ashtekar's formulation of general relativity" Phys. Rev. D (to be published).