Lorentz and Galilei invariance on lattices

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 69, Issue 10, 2004, Pages

  Levi, D ^a   Tempesta, P ^a   Winternitz, P ^a  

^a UNIVERSITÉ DE MONTRÉAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33646665018     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.69.105011     Document Type: Article

References (42)

1. M. Creutz, Quarks, Gluons and Lattices (Cambridge University Press, Cambridge, England, 1983).
2. Lectures on QCD: Foundations, edited by F. Lenz, H. Griesshammer, and D. Stoll (Springer, Berlin, 1997).
3. K. G. Wilson, Phys. Rev. D 10, 2445 (1974).
4. N. H. Christ, R. Friedberg, and T. D. Lee, Nucl. Phys. B210, 310 (1982).
5. T. D. Lee, Phys. Lett. 122B, 217 (1983).
6. T. Thiemann, Lect. Notes Phys. 631, 41 (2003).
7. A. Ashtekar, in General Relativity and Gravitation, Durban, 2001, edited by N. T. Bishop and S. D. Maharaj (World Scientific, New York, 2002), p. 28.
8. S. Kauffman and L. Smolin, Lect. Notes Phys. 541, 101 (2000).
9. G. Amelino-Camelia, gr-qc/0205125.
10. M. Bander, Phys. Rev. D 36, 2297 (1987).
11. M. Bander, Phys. Rev. D 38, 1056 (1988).
12. C. Rovelli and L. Smolin, Nucl. Phys. B442, 593 (1995).
13. G. ’t Hooft, Class. Quantum Grav. 13, 1023 (1996).
14. C. Di Bartolo, R. Gambini, and J. Pullin, Class. Quantum Grav. 19, 5275 (2002).
15. R. Gambini and J. Pullin, Phys. Rev. Lett. 90, 021301 (2003).
16. G. Amelino-Camelia, Mod. Phys. Lett. A 17, 899 (2002).
17. R. Gambini and J. Pullin, Phys. Rev. D 59, 124021 (1999).
18. R. Gambini and J. Pullin, Class. Quantum Grav. 20, 3341 (2003).
19. R. Friedberg and T. D. Lee, Nucl. Phys. B225, 1 (1983).
20. S. Gudder, J. Math. Phys. 27, 1782 (1986).
21. H. Snyder, Phys. Rev. 71, 38 (1947).
22. V. G. Kadyševskiǐ, Sov. Phys. JETP 14, 1340 (1961).
23. C. Rovelli and S. Speziale, Phys. Rev. D 67, 064019 (2003).
24. D. Colladay and V. A. Kostelecký, Phys. Rev. D 58, 116002 (1998).
25. G. Amelino-Camelia, J. Ellis, N. E. Mavromatos, D. V. Nanopoulos, and S. Sarkar, Nature (London) 393, 763 (1998).
26. H. Müller, S. Herrmann, C. Braxmaier, S. Schiller, and A. Peters, Phys. Rev. Lett. 91, 020401 (2003).
27. G. C. Rota, Finite Operator Calculus (Academic, San Diego, 1975).
28. S. Roman, The Umbral Calculus (Academic, San Diego, 1984).
29. A. Di Bucchianico and D. Loeb, Elect. J. Combin. DS3 (2000), http://www.combinatorics.org
30. D. Levi, P. Tempesta, and P. Winternitz, nlin.SI/0305047.
31. A. Dimakis, F. Müller-Hoissen, and T. Streiker, J. Phys. A 29, 6861 (1996).
32. R. Floreanini and L. Vinet, J. Math. Phys. 36, 7024 (1995).
33. D. Levi, J. Negro, and M. A. del Olmo, J. Phys. A 34, 2023 (2001).
34. U. Niederer, Helv. Phys. Acta 45, 802 (1973).
35. J. Friš, V. Mandrosov, Ya. A. Smorodinsky, M. Uhlir, and P. Winternitz, Phys. Lett. 16, 354 (1965).
36. Y. Smirnov and A. Turbiner, Mod. Phys. Lett. A 10, 1795 (1995).
37. M. B. Sheftel, P. Tempesta, and P. Winternitz, J. Math. Phys. 42, 659 (2001).
38. M. Bojowald, Phys. Rev. Lett. 87, 121301 (2001).
39. M. Bojowald and G. Date, Class. Quantum Grav. 21, 121 (2004).
40. G. Bluman, J. Math. Anal. Appl. 145, 52 (1990).
41. D. Damanik, D. Hundertmark, R. Killip, and B. Simon, Commun. Math. Phys. 238, 545 (2003).
42. S. Hilger, in Proceedings of ICDEA Conference on Difference Equations and Applications, Brno, 2003, edited by O. Dosly et al. (Taylor and Francis, London). in press).