English

Instability of Non-Commutative SYM Theories at Finite Temperature

High Energy Physics - Theory 2010-02-03 v3

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/0104133,
  title  = {Instability of Non-Commutative SYM Theories at Finite Temperature},
  author = {Karl Landsteiner and Esperanza Lopez and Michel H. G. Tytgat},
  journal= {arXiv preprint arXiv:hep-th/0104133},
  year   = {2010}
}

Comments

23 pages (harvmac b-mode), 5 figures, v2: discussion on U(N) theories and matter in fundamental representation added, misprints corrected, references added v3: reference added