Scaling limits of the fuzzy sphere at one loop

Journal of High Energy Physics

Volumn 5, Issue 8, 2001, Pages 1-16

  Chu, Chong Sun ^a   Madore, John ^b,c   Steinacker, Harold ^b,d  

^a DURHAM UNIVERSITY   (United Kingdom)

^b UNIVERSITÉ PARIS SUD   (France)

^c MAX PLANCK INSTITUT FÜR PHYSIK   (Germany)

^d UNIVERSITY OF MUNICH   (Germany)

Author keywords

D branes; Field Theories in Lower Dimensions; M Theory

Indexed keywords

EID: 33745021425     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2001/08/038     Document Type: Article

References (24)

1. M.R. Douglas and C. Hull, D-branes and the noncommutative torus, J. High Energy Phys. 02 (1998) 008 [hep-th/9711165];
2. C.-S. Chu and P.-M. Ho, Noncommutative open string and D-brane, Nucl. Phys. B 550 (1999) 151 [hep-th/9812219];
3. V. Schomerus, D-branes and deformation quantization, J. High Energy Phys. 06 (1999) 030 [hep-th/9903205].
4. A. Connes, M.R. Douglas and A. Schwarz, Noncommutative geometry and matrix theory: compactification on tori, J. High Energy Phys. 02 (1998) 003 [hep-th/9711162];
5. N. Seiberg and E. Witten, String theory and noncommutative geometry, J. High Energy Phys. 09 (1999) 032 [hep-th/9908142];
6. C.-S. Chu, P.-M. Ho and M. Li, Matrix theory in a constant c field background, Nucl. Phys. B 574 (2000) 275 [hep-th/9911153].
7. A.Y. Alekseev, A. Recknagel and V. Schomerus, Non-commutative world-volume geometries: branes on SU(2) and fuzzy spheres, J. High Energy Phys. 09 (1999) 023 [hep-th/9908040].
8. R.C. Myers, Dielectric-branes, J. High Energy Phys. 12 (1999) 022 [hep-th/9910053];
9. D. Kabat and I. Taylor, Washington, Spherical membranes in matrix theory, Adv. Theor. Math. Phys. 2 (1998) 181 [hep-th/9711078].
10. M.R. Douglas and N.A. Nekrasov, Noncommutative field theory, hep-th/0106048.
11. S. Minwalla, M. Van Raamsdonk and N. Seiberg, Noncommutative perturbative dynamics, J. High Energy Phys. 02 (2000) 020, [hep-th/9912072].
12. Y. Kinar, G. Lifschytz, J. Sonnenschein, UV/IR connection, a matrix perspective, J. High Energy Phys. 01 (2001) 108, hep-th/0105089.
13. S. Minwalla, M. Van Raamsdonk and N. Seiberg, Noncommutative perturbative dynamics, J. High Energy Phys. 02 (2000) 020 [hep-th/9912072].
14. J. Madore, The fuzzy sphere, Class. and Quant. Grav. 9 (1992) 69.
15. H. Grosse, J. Madore and H. Steinacker, Field theory on the q-deformed fuzzy sphere. I, J. Geom. Phys. 38 (2001) 308–342 [hep-th/0005273];
16. Field theory on the q-deformed fuzzy sphere. II: quantization, hep-th/0103164.
17. H. Grosse, C. Klimcik and P. Presnajder, Towards finite quantum field theory in noncommutative geometry, Int. J. Theor. Phys. 35 (1996) 231–244 [hep-th/9505175].
18. 2, Phys. Lett. B 512 (2001) 403, [hep-th/0102212].
19. D. A. Varshalovich, A. N. Moskalev and V. K. Khersonsky, Quantum theory of angular momentum: irreducible tensors, spherical harmonics, vector coupling coefficients, 3nj symbols, Singapore: World Scientific, Singapore 1988.
20. C. Chu, Induced Chern-Simons and WZW action in noncommutative spacetime, Nucl. Phys. B 580 (2000) 352, [hep-th/0003007].
21. A. Matusis, L. Susskind and N. Toumbas, The IR/UV connection in the noncommutative gauge theories, J. High Energy Phys. 12 (2000) 002, [hep-th/0002075];
22. F. R. Ruiz, Gauge-fixing independence of IR divergences in non-commutative U(1), perturbative tachyonic instabilities and supersymmetry, Phys. Lett. B 502 (2001) 274, [hep-th/0012171].
23. K. Landsteiner, E. Lopez and M.H. G. Tytgat, Instability of noncommutative SYM theories at finite temperature, J. High Energy Phys. 06 (2001) 055 [hep-th/0104133].
24. W. Magnus, F. Oberhettinger, R.P. Soni, Formulas and theorems for the special functions of mathematical physics, 3rd Edition, Springer-Verlag, Berlin Heidelberg New York 1966.