Plasma balls/kinks as solitons of large N confining gauge theories

Journal of High Energy Physics

Volumn 2007, Issue 1, 2007, Pages

  Basu, Pallab ^a   Ezhuthachan, Bobby ^a   Wadia, Spenta R ^a  

^a TATA INSTITUTE OF FUNDAMENTAL RESEARCH   (India)

Author keywords

1 N Expansion; AdS CFT correspondence; Black holes in string theory; Confinement

Indexed keywords

EID: 33947692822     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2007/01/003     Document Type: Article

References (53)

1. E. Witten, Anti-de Sitter space and holography 1998 Adv. Theor. Math. Phys. 2 253 [hep-th/9802150]
2. E. Witten, Anti-de Sitter space, thermal phase transition and confinement in gauge theories 1998 Adv. Theor. Math. Phys. 2 505 [hep-th/9803131]
3. O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large-N field theories, string theory and gravity 2000 Phys. Rep. 323 183 [hep-th/9905111]
4. S.-J. Rey, S. Theisen and J.-T. Yee, Wilson-Polyakov loop at finite temperature in large-N gauge theory and anti-de Sitter supergravity 1998 Nucl. Phys. B 527 171 [hep-th/9803135]
5. G.T. Horowitz and R.C. Myers, The AdS/CFT correspondence and a new positive energy conjecture for general relativity 1999 Phys. Rev. D 59 026005 [hep-th/9808079]
6. J. Hallin and D. Persson, Thermal phase transition in weakly interacting, large-N(c) QCD, 1998 Phys. Lett. B 429 232 [hep-ph/9803234]
7. B. Sundborg, The hagedorn transition, deconfinement and N ≤ 4 SYM theory 2000 Nucl. Phys. B 573 349 [hep-th/9908001]
8. A.M. Polyakov, Gauge fields and space-time 2002 Int. J. Mod. Phys. A17S1 119-136 [hep-th/0110196]
9. B. Lucini, M. Teper and U. Wenger, The deconfinement transition in SU(N) gauge theories, 2002 Phys. Lett. B 545 197 [hep-lat/0206029]
10. B. Lucini, M. Teper and U. Wenger, The high temperature phase transition in SU(N) gauge theories, 2004 J. High Energy Phys. JHEP01(2004)061 [hep-lat/0307017]
11. B. Lucini, M. Teper and U. Wenger, Properties of the deconfining phase transition in SU(N) gauge theories, 2005 J. High Energy Phys. JHEP02(2005)033 [hep-lat/0502003]
12. 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]
13. O. Aharony, J. Marsano, S. Minwalla, K. Papadodimas and M. Van Raamsdonk, The phase structure of low dimensional large-N gauge theories on tori 2006 J. High Energy Phys. JHEP01(2006)140 [hep-th/0508077]
14. 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]
15. 3 2005 Phys. Rev. D 71 125018 [hep-th/0502149]
16. H.J. Schnitzer, Confinement/deconfinement transition of large-N gauge theories with N(f) fundamentals: N(f)/N finite 2004 Nucl. Phys. B 695 267 [hep-th/0402219]
17. M. Spradlin and A. Volovich, A pendant for Polya: the one-loop partition function of N ≤ 4 SYM on R × S(3) 2005 Nucl. Phys. B 711 199 [hep-th/0408178]
18. 5 black holes and 1/N expansion 2005 Phys. Rev. D 71 124023 [hep-th/0502227]
19. 5 black holes and large-N unitary matrix models 2006 Phys. Rev. D 73 045022 [hep-th/0506203]
20. O. Aharony, S. Minwalla and T. Wiseman, Plasma-balls in large-N gauge theories and localized black holes 2006 Class. Quantum Grav. 23 2171 [hep-th/0507219]
21. 5 and critical unitary matrix models [hep-th/0605041]
22. T.K. Dey, S. Mukherji, S. Mukhopadhyay and S. Sarkar, Phase transitions in higher derivative gravity [hep-th/0609038]
23. V.E. Hubeny and M. Rangamani, Unstable horizons 2002 J. High Energy Phys. JHEP05(2002)027 [hep-th/0202189]
24. J.M. Maldacena, Eternal black holes in anti-de-sitter 2003 J. High Energy Phys. JHEP04(2003)021 [hep-th/0106112]
25. P. Kraus, H. Ooguri and S. Shenker, Inside the horizon with AdS/CFT 2003 Phys. Rev. D 67 124022 [hep-th/0212277]
26. L. Fidkowski, V. Hubeny, M. Kleban and S. Shenker, The black hole singularity in AdS/CFT 2004 J. High Energy Phys. JHEP02(2004)014 [hep-th/0306170]
27. H. Liu, Fine structure of hagedorn transitions [hep-th/0408001]
28. G. Festuccia and H. Liu, Excursions beyond the horizon: black hole singularities in Yang-Mills theories. I 2006 J. High Energy Phys. JHEP04(2006)044 [hep-th/0506202]
29. S.-J. Rey and Y. Hikida, 5D black hole as emergent geometry of weakly interacting 4D hot Yang-Mills gas 2006 J. High Energy Phys. JHEP08(2006)051 [hep-th/0507082]
30. S. Kalyana Rama and B. Sathiapalan, The hagedorn transition, deconfinement and the AdS/CFT correspondence 1998 Mod. Phys. Lett. A 13 3137 [hep-th/9810069]
31. S. Kalyana Rama and B. Sathiapalan, On the role of chaos in the AdS/CFT connection 1999 Mod. Phys. Lett. A 14 2635 [hep-th/9905219]
32. D. Yamada and L.G. Yaffe, Phase diagram of N ≤ 4 super- Yang-Mills theory with R-symmetry chemical potentials 2006 J. High Energy Phys. JHEP09(2006)027 [hep-th/0602074]
33. H. Nastase, The RHIC fireball as a dual black hole [hep-th/0501068]
34. H. Nastase, More on the RHIC fireball and dual black holes [hep-th/0603176]
35. 3 2006 Nucl. Phys. B 757 117 [hep-th/0605234]
36. T. Harmark and M. Orselli, Matching the Hagedorn temperature in AdS/CFT [hep-th/0608115]
37. T. Hollowood, S.P. Kumar and A. Naqvi, Instabilities of the small black hole: a view from N ≤ 4 SYM [hep-th/0607111]
38. J.R. David, G. Mandal and S.R. Wadia, Microscopic formulation of black holes in string theory 2002 Phys. Rep. 369 549 [hep-th/0203048]
39. E. Brezin, C. Itzykson, G. Parisi and J.B. Zuber, Planar diagrams 1978 Comm. Math. Phys. 59 35
40. D.J. Gross and E. Witten, Possible third order phase transition in the large-N lattice gauge theory 1980 Phys. Rev. D 21 446
41. S.R. Wadia, N ≤ infinity phase transition in a class of exactly soluble model lattice gauge theories 1980 Phys. Lett. B 93 403
42. S. Wadia, A study of U(N) lattice gauge theory in two-dimensions http://www.slac.stanford.edu/spires/find/hep/www?r≤EFI-79/44-CHICAGO, July 1979
43. A.M. Sengupta and S.R. Wadia, Excitations and interactions in D ≤ 1 string theory 1991 Int. J. Mod. Phys. A 6 1961
44. D.J. Gross and I.R. Klebanov, Fermionic string field theory of c ≤ 1 two-dimensional quantum gravity 1991 Nucl. Phys. B 352 671
45. J. Polchinski, Classical limit of (1+1)-dimensional string theory 1991 Nucl. Phys. B 362 125
46. A. Dhar, G. Mandal and S.R. Wadia, Classical fermi fluid and geometric action for C≤1 1993 Int. J. Mod. Phys. A 8 325 [hep-th/9204028]
47. A. Dhar, G. Mandal and S.R. Wadia, Nonrelativistic fermions, coadjoint orbits of W(infinity) and string field theory at C ≤ 1 1992 Mod. Phys. Lett. A 7 3129 [hep-th/9207011]
48. A. Jevicki and B. Sakita, The quantum collective field method and its application to the planar limit 1980 Nucl. Phys. B 165 511
49. G.K. Savvidy, Infrared instability of the vacuum state of gauge theories and asymptotic freedom 1977 Phys. Lett. B 71 133
50. G.W. Semenoff, O. Tirkkonen and K. Zarembo, Exact solution of the one-dimensional non-Abelian Coulomb gas at large-N 1996 Phys. Rev. Lett. 77 2174 [hep-th/9605172]
51. P.M. Chaikin and T.C. Lubensky, Principles of condensed matter physics (Cambridge University Press), 1998.
52. R. Rajaraman, Solitons and instantons North-Holland Publishing Company, 1982.
53. D. Chae, A. Cordoba, D. Cordoba and M.A. Fontelos, Finite time singularities in a 1D model of the quasi-geostropic equation (To Appear in Advances in Mathematics)