On Theta Dependence of Glueballs from AdS/CFT

Details On Theta Dependence of Glueballs from AdS/CFT On Theta Dependence of Glueballs from AdS/CFT

2004-11-30

arxiv.org/abs/hep-th/0411278v2

Phys.Lett. B609 (2005) 167-172

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, typo corrected, 2 references added

Scientific paper

10.1016/j.physletb.2005.01.042

We study the theta dependence of the glueball spectrum in a strongly coupled cousin of large N gluodynamics defined via the AdS/CFT correspondence. By explicitly diagonalizing the 10d gravity equations in the presence of the RR 3-form and 1-form fluxes we found a mixing pattern for the lowest-spin lightest glueballs. The mixing between the scalar and pseudoscalar states is not suppressed, suggesting that the CP-odd effects persist in the large N theory. As a consequence, the lightest mass eigenstate ceases to be a parity eigenstate. We found the former as a linear combination of a scalar and pseudoscalar glueballs. On the other hand, the mass eigenvalues in a theory with and without the theta term remain equal in the large N limit.

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