Glueballs and the Yang-Mills plasma in a T-matrix approach

[en] The strongly coupled phase of Yang-Mills plasma with arbitrary gauge group is studied in a T-matrix approach. The existence of lowest-lying glueballs, interpreted as bound states of two transverse gluons (quasi-particles in a many-body set up), is analyzed in a non-perturbative scat- tering formalism with the input of lattice-QCD static potentials. Glueballs are actually found to be bound up to 1.3 Tc. Starting from the T-matrix, the plasma equation of state is computed by resorting to Dashen, Ma and Bernstein's formulation of statistical mechanics and favorably compared to quenched lattice data. Special emphasis is put on SU(N) gauge groups, for which analytical results can be obtained in the large-N limit, and predictions for a G2 gauge group are also given within this work

Research center :

AGIF - Algèbre, Géométrie et Interactions fondamentales

Disciplines :

Physics

Author, co-author :

Lacroix, Gwendolyn ; Université de Mons > Faculté des Sciences > Physique nucléaire et subnucléaire

Semay, Claude ; Université de Mons > Faculté des Sciences > Physique nucléaire et subnucléaire

Cabrera, Daniel

Buisseret, Fabien ; Université de Mons > Faculté des Sciences > Physique nucléaire et subnucléaire

Language :

English

Title :

Glueballs and the Yang-Mills plasma in a T-matrix approach

Publication date :

20 March 2013

Journal title :

Physical Review. D, Particles and Fields

ISSN :

0556-2821

Publisher :

American Physical Society, Lancaster, Panama

Volume :

Peer reviewed :

Peer reviewed

Research unit :

S824 - Physique nucléaire et subnucléaire

Research institute :

R150 - Institut de Recherche sur les Systèmes Complexes

Available on ORBi UMONS :

since 03 January 2013

Statistics

Number of views

4 (0 by UMONS)

Number of downloads

0 (0 by UMONS)

More statistics

Scopus citations^®

Scopus citations^®
without self-citations

OpenCitations

OpenAlex citations

Bibliography

J. C. Collins and M. J. Perry, Phys. Rev. Lett. 34, 1353 (1975). PRLTAO 0031-9007 10.1103/PhysRevLett.34.1353
E. V. Shuryak, Phys. Rep. 61, 71 (1980). PRPLCM 0370-1573 10.1016/0370-1573(80)90105-2
D. Cabrera and R. Rapp, Phys. Rev. D 76, 114506 (2007). PRVDAQ 1550-7998 10.1103/PhysRevD.76.114506
R. Dashen, S.-K. Ma, and H. J. Bernstein, Phys. Rev. 187, 345 (1969); PHRVAO 0031-899X 10.1103/PhysRev.187.345
R. Dashen S.-K. Ma H. J. Bernstein Phys. Rev. A 6, 851(E) (1972). PLRAAN 0556-2791 10.1103/PhysRevA.6.851.2
M. I. Gorenstein and S. N. Yang, Phys. Rev. D 52, 5206 (1995). PRVDAQ 0556-2821 10.1103/PhysRevD.52.5206
F. Buisseret and G. Lacroix, Eur. Phys. J. C 70, 1051 (2010). EPCFFB 1434-6044 10.1140/epjc/s10052-010-1497-x
J.-P. Blaizot, Nucl. Phys. A751, 139 (2005). NUPABL 0375-9474 10.1016/j.nuclphysa.2005.02.109 (Pubitemid 40426725)
M. Bluhm, B. Kämpfer, and K. Redlich, Phys. Rev. C 84, 025201 (2011); PRVCAN 0556-2813 10.1103/PhysRevC.84.025201
M. Bluhm B. Kämpfer K. Redlich Phys. Lett. B 709, 77 (2012). PYLBAJ 0370-2693 10.1016/j.physletb.2012.01.069
K. Fukushima and C. Sasaki, arXiv:1301.6377.
L. Tolós, D. Cabrera, and A. Ramos, Phys. Rev. C 78, 045205 (2008). PRVCAN 0556-2813 10.1103/PhysRevC.78.045205
M. Mannarelli and R. Rapp, Phys. Rev. C 72, 064905 (2005). PRVCAN 0556-2813 10.1103/PhysRevC.72.064905 (Pubitemid 43272814)
H. van Hees, M. Mannarelli, V. Greco, and R. Rapp, Phys. Rev. Lett. 100, 192301 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.192301 (Pubitemid 351692673)
K. Huggins and R. Rapp, Nucl. Phys. A896, 24 (2012). NUPABL 0375-9474 10.1016/j.nuclphysa.2012.09.008
M. Pepe and U.-J. Wiese, Nucl. Phys. B768, 21 (2007). NUPBBO 0550-3213 10.1016/j.nuclphysb.2006.12.024
V. Goloviznin and H. Satz, Z. Phys. C 57, 671 (1993). ZPCFD2 0170-9739 10.1007/BF01561487
F. Brau and F. Buisseret, Phys. Rev. D 79, 114007 (2009). PRVDAQ 1550-7998 10.1103/PhysRevD.79.114007
S. Gupta, K. Hübner, and O. Kaczmarek, Phys. Rev. D 77, 034503 (2008). PRVDAQ 1550-7998 10.1103/PhysRevD.77.034503
J. Fuchs and C. Schweigert, Symmetries, Lie Algebras and Representations (Cambridge University Press, Cambridge, England, 1997).
N. Boulanger, F. Buisseret, V. Mathieu, and C. Semay, Eur. Phys. J. A 38, 317 (2008). EPJAFV 1434-6001 10.1140/epja/i2008-10675-5
M. Jacob and G. C. Wick, Ann. Phys. (N.Y.) 7, 404 (1959). APNYA6 0003-4916 10.1016/0003-4916(59)90051-X
D. R. Giebink, Phys. Rev. C 32, 502 (1985). PRVCAN 0556-2813 10.1103/PhysRevC.32.502
V. Mathieu, F. Buisseret, and C. Semay, Phys. Rev. D 77, 114022 (2008); PRVDAQ 1550-7998 10.1103/PhysRevD.77.114022
F. Buisseret, V. Mathieu, and C. Semay, Phys. Rev. D 80, 074021 (2009). PRVDAQ 1550-7998 10.1103/PhysRevD.80.074021
T. Barnes, Z. Phys. C 10, 275 (1981). ZPCFD2 0170-9739 10.1007/BF01549736
V. Mathieu, N. Kochelev, and V. Vento, Int. J. Mod. Phys. E 18, 1 (2009), and references therein. IMPEER 0218-3013 10.1142/S0218301309012124
M. I. Haftel and F. Tabakin, Nucl. Phys. A158, 1 (1970). NUPABL 0375-9474 10.1016/0375-9474(70)90047-3
F. Buisseret and G. Lacroix, Phys. Lett. B 705, 405 (2011). PYLBAJ 0370-2693 10.1016/j.physletb.2011.10.039
B. Lucini, M. Teper, and U. Wenger, J. High Energy Phys. 02 (2005) 033. JHEPFG 1029-8479 10.1088/1126-6708/2005/02/033
L. Lipták and Š. Olejník, Phys. Rev. D 78, 074501 (2008); PRVDAQ 1550-7998 10.1103/PhysRevD.78.074501
B. H. Wellegehausen, A. Wipf, and C. Wozar, Phys. Rev. D 83, 016001 (2011). PRVDAQ 1550-7998 10.1103/PhysRevD.83.016001
F. Buisseret, Eur. Phys. J. C 71, 1651 (2011). EPCFFB 1434-6044 10.1140/epjc/s10052-011-1651-0
G. 't Hooft, Nucl. Phys. B72, 461 (1974). NUPBBO 0550-3213 10.1016/0550-3213(74)90154-0
A. Armoni, M. Shifman, and G. Veneziano, Nucl. Phys. B667, 170 (2003); NUPBBO 0550-3213 10.1016/S0550-3213(03)00538-8 (Pubitemid 37007121)
A. Armoni M. Shifman G. Veneziano Phys. Rev. Lett. 91, 191601 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.91.191601
O. Kaczmarek, F. Karsch, P. Petreczky, and F. Zantow, Phys. Lett. B 543, 41 (2002). PYLBAJ 0370-2693 10.1016/S0370-2693(02)02415-2
M. Asakawa and T. Hatsuda, Phys. Rev. Lett. 92, 012001 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.012001
W. M. Alberico, A. Beraudo, A. De Pace, and A. Molinari, Phys. Rev. D 72, 114011 (2005). PRVDAQ 1550-7998 10.1103/PhysRevD.72.114011 (Pubitemid 43036857)
C.-Y. Wong and H. W. Crater, Phys. Rev. D 75, 034505 (2007). PRVDAQ 1550-7998 10.1103/PhysRevD.75.034505
F. Riek and R. Rapp, Phys. Rev. C 82, 035201 (2010). PRVCAN 0556-2813 10.1103/PhysRevC.82.035201
A. Mocsy and P. Petreczky, Phys. Rev. D 73, 074007 (2006). PRVDAQ 1550-7998 10.1103/PhysRevD.73.074007
J.-P. Blaizot, E. Iancu, and A. Rebhan, Phys. Lett. B 470, 181 (1999); PYLBAJ 0370-2693 10.1016/S0370-2693(99)01306-4
J.-P. Blaizot E. Iancu A. Rebhan Phys. Rev. D 63, 065003 (2001). PRVDAQ 0556-2821 10.1103/PhysRevD.63.065003 (Pubitemid 33795758)
A. Peshier, B. Kämpfer, O. P. Pavlenko, and G. Soff, Phys. Rev. D 54, 2399 (1996). PRVDAQ 0556-2821 10.1103/PhysRevD.54.2399
M. Ruggieri, P. Alba, P. Castorina, S. Plumari, C. Ratti, and V. Greco, Phys. Rev. D 86, 054007 (2012). PRVDAQ 1550-7998 10.1103/PhysRevD.86.054007
A. Cucchieri and T. Mendes, Phys. Rev. D 81, 016005 (2010). PRVDAQ 1550-7998 10.1103/PhysRevD.81.016005
O. Oliveira and P. Bicudo, J. Phys. G 38, 045003 (2011). JPGPED 0954-3899 10.1088/0954-3899/38/4/045003
J. M. Cornwall, Phys. Rev. D 26, 1453 (1982). PRVDAQ 0556-2821 10.1103/PhysRevD.26.1453
D. Binosi and J. Papavassiliou, Phys. Rep. 479, 1 (2009). PRPLCM 0370-1573 10.1016/j.physrep.2009.05.001
A. C. Aguilar, D. Binosi, J. Papavassiliou, and J. Rodriguez-Quintero, Phys. Rev. D 80, 085018 (2009); PRVDAQ 1550-7998 10.1103/PhysRevD.80.085018
A. C. Aguilar, D. Binosi, and J. Papavassiliou, J. High Energy Phys. 07 (2010) 002. JHEPFG 1029-8479 10.1007/JHEP07(2010)002
H. Reinhardt, D. R. Campagnari, and A. P. Szczepaniak, Phys. Rev. D 84, 045006 (2011). PRVDAQ 1550-7998 10.1103/PhysRevD.84.045006
E. Megias, E. R. Arriola, and L. L. Salcedo, Phys. Rev. D 75, 105019 (2007); PRVDAQ 1550-7998 10.1103/PhysRevD.75.105019
E. Megias E. R. Arriola L. L. Salcedo Phys. Rev. D 80, 056005 (2009). PRVDAQ 1550-7998 10.1103/PhysRevD.80.056005
C. J. Morningstar and M. J. Peardon, Phys. Rev. D 60, 034509 (1999); PRVDAQ 0556-2821 10.1103/PhysRevD.60.034509
Y. Chen, Phys. Rev. D 73, 014516 (2006). PRVDAQ 1550-7998 10.1103/PhysRevD.73.014516
G. S. Bali, Phys. Rep. 343, 1 (2001); PRPLCM 0370-1573 10.1016/S0370-1573(00)00079-X
C. Semay, Eur. Phys. J. A 22, 353 (2004); EPJAFV 1434-6001 10.1140/epja/i2004-10097-5 (Pubitemid 40101368)
M. Cardoso and P. Bicudo, Phys. Rev. D 78, 074508 (2008). PRVDAQ 1550-7998 10.1103/PhysRevD.78.074508
P. de Forcrand and O. Philipsen, Phys. Lett. B 475, 280 (2000). PYLBAJ 0370-2693 10.1016/S0370-2693(00)00117-9
G. S. Bali and A. Pineda, Phys. Rev. D 69, 094001 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.69.094001
A. Szczepaniak, E. S. Swanson, C.-R. Ji, and S. R. Cotanch, Phys. Rev. Lett. 76, 2011 (1996); PRLTAO 0031-9007 10.1103/PhysRevLett.76.2011
A. P. Szczepaniak and E. S. Swanson, Phys. Lett. B 577, 61 (2003). PYLBAJ 0370-2693 10.1016/j.physletb.2003.10.008
W. E. Caswell, Phys. Rev. Lett. 33, 244 (1974). PRLTAO 0031-9007 10.1103/PhysRevLett.33.244
B. Lucini, A. Rago, and E. Rinaldi, J. High Energy Phys. 08 (2010) 119. JHEPFG 1029-8479 10.1007/JHEP08(2010)119
H. B. Meyer, Phys. Rev. D 80, 051502(R) (2009). PRVDAQ 1550-7998 10.1103/PhysRevD.80.051502
M. Caselle, L. Castagnini, A. Feo, F. Gliozzi, and M. Panero, J. High Energy Phys. 06 (2011) 142. JHEPFG 1029-8479 10.1007/JHEP06(2011)142
B. Lucini, M. Teper, and U. Wenger, J. High Energy Phys. 01 (2004) 061. JHEPFG 1029-8479 10.1088/1126-6708/2004/01/061
J. Braun, A. Eichhorn, H. Gies, and J. M. Pawlowski, Eur. Phys. J. C 70, 689 (2010). EPCFFB 1434-6044 10.1140/epjc/s10052-010-1485-1
A. Maas, J. High Energy Phys. 02 (2011) 076. JHEPFG 1029-8479 10.1007/JHEP02(2011)076
N. Ishii, H. Suganuma, and H. Matsufuru, Phys. Rev. D 66, 094506 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.66.094506 (Pubitemid 44624401)
X.-F. Meng, G. Li, Y.-J. Zhang, Y. Chen, C. Liu, Y.-B. Liu, J.-P. Ma, and J.-B. Zhang, Phys. Rev. D 80, 114502 (2009). PRVDAQ 1550-7998 10.1103/PhysRevD.80.114502
M. Panero, Phys. Rev. Lett. 103, 232001 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.232001
S. Borsányi, G. Endrödi, Z. Fodor, S. D. Katz, and K. K. Szabó, J. High Energy Phys. 07 (2012) 056. JHEPFG 1029-8479 10.1007/JHEP07(2012)056
A. Dumitru, Y. Guo, Y. Hidaka, C. P. K. Altes, and R. D. Pisarski, Phys. Rev. D 86, 105017 (2012). PRVDAQ 1550-7998 10.1103/PhysRevD.86.105017
T. Yépez-Martínez, A. P. Szczepaniak, and H. Reinhardt, Phys. Rev. D 86, 076010 (2012). PRVDAQ 1550-7998 10.1103/PhysRevD.86.076010
B. Lucini and M. Teper, Phys. Rev. D 64, 105019 (2001). PRVDAQ 0556-2821 10.1103/PhysRevD.64.105019
H. Satz, arXiv:hep-ph/0602245;
V. V. Dixit, Mod. Phys. Lett. A 05, 227 (1990). MPLAEQ 0217-7323 10.1142/S0217732390000275
Engels J., Fingberg J., Redlich K., Satz H., Weber M. Z. Phys. C 1989 42 341 ZPCFD2 0170-9739 10.1007/BF01555877