Anyons and the bose-fermi duality in the finite-temperature thirring model

Theoretical and Mathematical Physics

Volumn 121, Issue 1, 1999, Pages 1294-1314

  Ilieva, N ^a   Thirring, W ^b  

^a INSTITUTE FOR NUCLEAR RESEARCH AND NUCLEAR ENERGY   (Bulgaria)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033235465     PISSN: 00405779     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02557229     Document Type: Article

References (33)

1. 1. T. D. Lee, Phys. Rev., 95, 1329 (1954).
2. 2. H. Bethe, Z. Phys., 71, 205 (1931).
3. 3. W. Heisenberg, Z. Naturforsch., 9a, 292 (1954).
4. 4. W. Thirring, Ann. Phys., 3, 91 (1958).
5. 5. R. Haag, Local Quantum Physics, Springer, Berlin (1993).
6. 6. P. Jordan, Z. Phys., 93, 464 (1935); 98, 759 (1936); 99, 109 (1936).
7. 6. P. Jordan, Z. Phys., 93, 464 (1935); 98, 759 (1936); 99, 109 (1936).
8. 6. P. Jordan, Z. Phys., 93, 464 (1935); 98, 759 (1936); 99, 109 (1936).
9. 7. M. Born and N. Nagendra-Nath, Proc. Indian Acad. Sci., 3, 318 (1936).
10. 8. G. Dell'Antonio, Y. Frischman, and D. Zwanziger, Phys. Rev. D, 6, 988 (1972).
11. 9. S. Mandelstam, Phys. Rev. D, 11, 3026 (1975).
12. 10. A. L. Carey and S. N. M. Ruijsenaars, Acta Appl. Math., 10, 1 (1987).
13. 11. A. L. Carey, C. A. Hurst, and D. M. O'Brien, J. Math. Phys., 24, 2212 (1983).
14. 12. F. Acerbi, G. Morchio, and F. Strocchi, Lett. Math. Phys., 26, 13 (1992); 27, 1 (1993).
15. 12. F. Acerbi, G. Morchio, and F. Strocchi, Lett. Math. Phys., 26, 13 (1992); 27, 1 (1993).
16. 13. N. Ilieva and H. Narnhofer, ÖAW Sitzungsber. II, 205, 13 (1996).
17. 14. N. Ilieva and W. Thirring, Eur. Phys. J. C, 6, 705 (1999).
18. 15. J. Schwinger, Phys. Rev., 128, 2425 (1962).
19. 16. H. J. Borchers and J. Yngvason, J. Math. Phys., 40, 601 (1999).
20. 17. D. Buchholz and I. Ojima, Nucl. Phys. B, 498, 228 (1997).
21. 18. H. Narnhofer and W. Thirring, Ann. Inst. H. Poincaré, 70, 1 (1999).
22. 19. H. Grosse, W. Maderner, and C. Reitberger, in: Generalized Symmetries in Physics (H.-D. Döbner, V. Dobrev, and A. Ushveridze, eds.), World Scientific, Singapore (1994).
23. 20. D. C. Mattis and E. Lieb, J. Math. Phys., 6, 304 (1965).
24. 21. F. Strocchi, Selected Topics on the General Properties of Quantum Field Theory (World Sci. Lect. Notes Phys., Vol. 51), World Scientific, Singapore (1993).
25. 22. H. Narnhofer, private communication.
26. 23. N. Ilieva and W. Thirring, in preparation.
27. 24. S. Coleman, Phys. Rev. D, 11, 2088 (1975).
28. 25. S. Mandelstam, Phys. Rev. D, 11, 3026 (1975).
29. 26. E. Witten, Commun. Math. Phys., 92, 455 (1984).
30. 27. S. Doplicher, R. Haag, and J. Roberts, Commun. Math. Phys., 15, 173 (1969).
31. 28. S. Doplicher and J. Roberts, Ann. Math., 130, 75 (1989).
32. 29. D. Buchholz, S. Doplicher, R. Longo, and J. Roberts, Commun. Math. Phys., 155, 123 (1993).
33. 30. H. Araki, "A remark on a connection of return to equilibrium and multiple ground states in some perturbed XY-model," in: On Klauder's Path: A Field Trip (G. Emch, G. Hegerfeldt, and L. Streit, eds.), World Scientific, River Edge, NJ (1994), p. 11.