Abstract
We consider “Orientifold Field Theories”, namely SU(N) gauge theories with Dirac fermions in the two-index representation at high temperature. When N is even these theories exhibit a spontaneously broken Z 2 centre symmetry. We study aspects of the domain wall that interpolates between the two vacua of the theory. In particular we calculate its tension to two-loop order. We compare its tension to the corresponding domain wall in a SU(N) gauge theory with adjoint fermions and find an agreement at large-N , as expected from planar equivalence between the two theories. Moreover, we provide a non-perturbative proof for the coincidence of the tensions at large-N. We also discuss the vacuum structure of the theory when the fermion is given a large mass and argue that there exist N − 2 metastable vacua. We calculate the lifetime of those vacua in the thin wall approximation.
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References
T. Bhattacharya, A. Gocksch, C. Korthals Altes and R.D. Pisarski, Interface tension in an SU(N) gauge theory at high temperature, Phys. Rev. Lett. 66 (1991) 998 [SPIRES].
T. Bhattacharya, A. Gocksch, C. Korthals Altes and R.D. Pisarski, Z(N) interface tension in a hot SU(N) gauge theory, Nucl. Phys. B 383 (1992) 497 [hep-ph/9205231] [SPIRES].
P. Giovannangeli and C.P. Korthals Altes, ’t Hooft and Wilson loop ratios in the QCD plasma, Nucl. Phys. B 608 (2001) 203 [hep-ph/0102022] [SPIRES].
P. Giovannangeli and C.P. Korthals Altes, Spatial ’t Hooft loop to cubic order in hot QCD, Nucl. Phys. B 721 (2005) 1 [hep-ph/0212298] [SPIRES].
O. Aharony and E. Witten, Anti-de Sitter space and the center of the gauge group, JHEP 11 (1998) 018 [hep-th/9807205] [SPIRES].
A. Armoni, S.P. Kumar and J.M. Ridgway, Z N domain walls in hot N =4 SYM at weak and strong coupling, JHEP 01 (2009) 076 [arXiv:0812.0773] [SPIRES].
C.P. Korthals Altes, Spatial ’t Hooft loop in hot SUSY theories at weak coupling, arXiv:0904.3117 [SPIRES].
L. Del Debbio and A. Patella, Center symmetry and the orientifold planar equivalence, JHEP 03 (2009) 071 [arXiv:0812.3617] [SPIRES].
A. Armoni, M. Shifman and G. Veneziano, Exact results in non-supersymmetric large-N orientifold field theories, Nucl. Phys. B 667 (2003) 170 [hep-th/0302163] [SPIRES].
A. Armoni, M. Shifman and G. Veneziano, Refining the proof of planar equivalence, Phys. Rev. D 71 (2005) 045015 [hep-th/0412203] [SPIRES].
M. Unsal and L.G. Yaffe, (In)validity of large-N orientifold equivalence, Phys. Rev. D 74 (2006) 105019 [hep-th/0608180] [SPIRES].
L.G. Yaffe, Large-N limits as classical mechanics, Rev. Mod. Phys. 54 (1982) 407 [SPIRES].
S.R. Coleman and F. De Luccia, Gravitational effects on and of vacuum decay, Phys. Rev. D 21 (1980) 3305 [SPIRES].
I.Y. Kobzarev, L.B. Okun and M.B. Voloshin, Bubbles in metastable vacuum, Sov. J. Nucl. Phys. 20 (1975) 644 [Yad. Fiz. 20 (1974) 1229] [SPIRES].
G. ’t Hooft, On the phase transition towards permanent quark confinement, Nucl. Phys. B 138 (1978) 1 [SPIRES].
C. Korthals-Altes and A. Kovner, Magnetic Z N symmetry in hot QCD and the spatial Wilson loop, Phys. Rev. D 62 (2000) 096008 [hep-ph/0004052] [SPIRES].
P. de Forcrand, B. Lucini and D. Noth, ’t Hooft loops and perturbation theory, PoS(LAT2005)323 [hep-lat/0510081] [SPIRES].
C.P. Korthals Altes, Constrained effective potential in hot QCD, Nucl. Phys. B 420 (1994) 637 [hep-th/9310195] [SPIRES].
R. Jackiw and C. Rebbi, Solitons with fermion number 1/2, Phys. Rev. D 13 (1976) 3398 [SPIRES].
A. Armoni, M. Shifman and G. Veneziano, A note on C-parity conservation and the validity of orientifold planar equivalence, Phys. Lett. B 647 (2007) 515 [hep-th/0701229] [SPIRES].
A. Patella, A insight on the proof of orientifold planar equivalence on the lattice, Phys. Rev. D 74 (2006) 034506 [hep-lat/0511037] [SPIRES].
O. Machtey and B. Svetitsky, Metastable nonconfining states in SU(3) lattice gauge theory with sextet fermions, Phys. Rev. D 81 (2010) 014501 [arXiv:0911.0886] [SPIRES].
I.S. Gradshteyn and I.M. Ryzhik, Table of integrals, series, and products (2007).
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ArXiv ePrint:1009.5486
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Armoni, A., Korthals Altes, C.P. & Patella, A. Domain walls and metastable vacua in hot “Orientifold Field Theories”. J. High Energ. Phys. 2010, 4 (2010). https://doi.org/10.1007/JHEP12(2010)004
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DOI: https://doi.org/10.1007/JHEP12(2010)004