High temperature expansion in supersymmetric matrix quantum mechanics

Journal of High Energy Physics

Volumn 2007, Issue 12, 2007, Pages

  Kawahara, Naoyuki ^a,b   Nishimura, Jun ^a,c   Takeuchi, Shingo ^c  

^a HIGH ENERGY ACCELERATOR RESEARCH ORGANIZATION KEK   (Japan)

^b KYUSHU UNIVERSITY   (Japan)

^c GRADUATE UNIVERSITY FOR ADVANCED STUDIES   (Japan)

Author keywords

Matrix models; Thermal field theory

Indexed keywords

EID: 38049023575     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2007/12/103     Document Type: Article

References (38)

1. E. Witten, Bound states of strings and p-branes 1996 Nucl. Phys. B 460 335 [hep-th/9510135]
2. J. Polchinski, Dirichlet-branes and Ramond-Ramond charges 1995 Phys. Rev. Lett. 75 4724 [hep-th/9510017]
3. T. Banks, W. Fischler, S.H. Shenker and L. Susskind, M theory as a matrix model: a conjecture 1997 Phys. Rev. D 55 5112 [hep-th/9610043]
4. N. Ishibashi, H. Kawai, Y. Kitazawa and A. Tsuchiya, A large-N reduced model as superstring 1997 Nucl. Phys. B 498 467 [hep-th/9612115]
5. R. Dijkgraaf, E. Verlinde and H. Verlinde, Matrix string theory 1997 Nucl. Phys. B 500 43 [hep-th/9703030]
6. J.M. Maldacena, The large N limit of superconformal field theories and supergravity 1998 Adv. Theor. Math. Phys. 2 231 [1999 Int. J. Theor. Phys. 38 1113 ] [hep-th/9711200]
7. E. Witten, Anti-de Sitter space, thermal phase transition, and confinement in gauge theories 1998 Adv. Theor. Math. Phys. 2 505 [hep-th/9803131]
8. N. Itzhaki, J.M. Maldacena, J. Sonnenschein and S. Yankielowicz, Supergravity and the large N limit of theories with sixteen supercharges 1998 Phys. Rev. D 58 046004 [hep-th/9802042]
9. O. Aharony, J. Marsano, S. Minwalla, K. Papadodimas and M. Van Raamsdonk, The Hagedorn/deconfinement phase transition in weakly coupled large N gauge theories 2004 Adv. Theor. Math. Phys. 8 603 [hep-th/0310285]
10. 3 2005 Phys. Rev. D 71 125018 [hep-th/0502149]
11. O. Aharony, J. Marsano, S. Minwalla and T. Wiseman, Black hole-black string phase transitions in thermal 1+1 dimensional supersymmetric Yang-Mills theory on a circle 2004 Class. Quantum Grav. 21 5169 [hep-th/0406210]
12. O. Aharony, J. Marsano, S. Minwalla, K. Papadodimas, M. Van Raamsdonk and T. Wiseman, The phase structure of low dimensional large N gauge theories on tori 2006 J. High Energy Phys. JHEP01(2006)140 [hep-th/0508077]
13. 5 and critical unitary matrix models 2006 Eur. Phys. J. C 48 647 [hep-th/0605041]
14. M. Hanada, J. Nishimura and S. Takeuchi, Non-lattice simulation for supersymmetric gauge theories in one dimension 2007 Phys. Rev. Lett. 99 161602 [0706.1647]
15. S. Catterall and T. Wiseman, Towards lattice simulation of the gauge theory duals to black holes and hot strings [0706.3518]
16. K.N. Anagnostopoulos, M. Hanada, J. Nishimura and S. Takeuchi, Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature to appear in Phys. Rev. Lett. [0707.4454]
17. R.A. Janik and J. Wosiek, Towards the matrix model of M-theory on a lattice 2001 Acta Phys. Polon. B 32 2143 [hep-th/0003121]
18. P. Bialas and J. Wosiek, Towards the lattice study of M-theory. II 2002 Nucl. Phys. (Proc. Suppl.) 106 968 [hep-lat/0111034]
19. N. Kawahara, J. Nishimura and S. Takeuchi, Phase structure of matrix quantum mechanics at finite temperature 2007 J. High Energy Phys. JHEP10(2007)097 [0706.3517]
20. J.L. F. Barbon, I.I. Kogan and E. Rabinovici, On stringy thresholds in SYM/AdS thermodynamics 1999 Nucl. Phys. B 544 104 [hep-th/9809033]
21. A. Strominger and C. Vafa, Microscopic origin of the Bekenstein-Hawking entropy 1996 Phys. Lett. B 379 99 [hep-th/9601029]
22. D. Kabat, G. Lifschytz and D.A. Lowe, Black hole thermodynamics from calculations in strongly coupled gauge theory 2001 Phys. Rev. Lett. 86 1426 [2001 Int. J. Mod. Phys. A 16 856 ] [hep-th/0007051]
23. D. Kabat, G. Lifschytz and D.A. Lowe, Black hole entropy from non-perturbative gauge theory 2001 Phys. Rev. D 64 124015 [hep-th/0105171]
24. G.T. Horowitz and J. Polchinski, A correspondence principle for black holes and strings 1997 Phys. Rev. D 55 6189 [hep-th/9612146]
25. S. Bal and B. Sathiapalan, High temperature limit of the N = 2 matrix model 1999 Mod. Phys. Lett. A 14 2753 [hep-th/9902087]
26. N. Kawahara, J. Nishimura and S. Takeuchi, Exact fuzzy sphere thermodynamics in matrix quantum mechanics 2007 J. High Energy Phys. JHEP05(2007)091 [0704.3183]
27. W. Krauth and M. Staudacher, Finite Yang-Mills integrals 1998 Phys. Lett. B 435 350 [hep-th/9804199]
28. T. Hotta, J, Nishimura and A. Tsuchiya, Dynamical aspects of large N reduced models 1999 Nucl. Phys. B 545 543 [hep-th/9811220]
29. J. Nishimura, T. Okubo and F. Sugino, Convergence of the Gaussian expansion method in dimensionally reduced Yang-Mills integrals 2002 J. High Energy Phys. JHEP10(2002)043 [hep-th/0205253]
30. W. Krauth and M. Staudacher, Eigenvalue distributions in Yang-Mills integrals 1999 Phys. Lett. B 453 253 [hep-th/9902113]
31. M. Hanada and T. Nishioka, Cascade of Gregory-Laflamme transitions and U(1) breakdown in super Yang-Mills, 2007 J. High Energy Phys. JHEP09(2007)012 [0706.0188]
32. R. Narayanan and H. Neuberger, Large N reduction in continuum 2003 Phys. Rev. Lett. 91 081601 [hep-lat/0303023]
33. J. Kiskis, R. Narayanan and H. Neuberger, Does the crossover from perturbative to nonperturbative physics in QCD become a phase transition at infinite N? 2003 Phys. Lett. B 574 65 [hep-lat/0308033]
34. R. Narayanan, H. Neuberger and F. Reynoso, Phases of three dimensional large N QCD on a continuum torus 2007 Phys. Lett. B 651 246 [0704.2591]
35. M. Hanada, H. Kawai, T. Kanai and F. Kubo, Phase structure of the large-N reduced gauge theory and generalized Weingarten model 2006 Prog. Theor. Phys. 115 1167 [hep-th/0604065]
36. T. Harmark and N.A. Obers, Black holes on cylinders 2002 J. High Energy Phys. JHEP05(2002)032 [hep-th/0204047]
37. T. Harmark and N.A. Obers, New phases of near-extremal branes on a circle 2004 J. High Energy Phys. JHEP09(2004)022 [hep-th/0407094]
38. R. Gregory and R. Laflamme, Black strings and p-branes are unstable 1993 Phys. Rev. Lett. 70 2837 [hep-th/9301052]