Instability of Non-Commutative SYM Theories at Finite Temperature

Details Instability of Non-Commutative SYM Theories at Finite Temperature Instability of Non-Commutative SYM Theories at Finite Temperature

2001-04-16

arxiv.org/abs/hep-th/0104133v3

JHEP 0106:055,2001

Physics

High Energy Physics

High Energy Physics - Theory

23 pages (harvmac b-mode), 5 figures, v2: discussion on U(N) theories and matter in fundamental representation added, misprint

Scientific paper

10.1088/1126-6708/2001/06/055

We extend our previous work on the quasi-particle excitations in N=4 non-commutative U(1) Yang-Mills theory at finite temperature. We show that above some critical temperature there is a tachyon in the spectrum of excitations. It is a collective transverse photon mode polarized in the non-commutative plane. Thus the theory seems to undergo a phase transition at high temperature. Furthermore we find that the group velocity of quasi-particles generically exceeds the speed of light at low momentum.

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