抄録
We study the dynamical stripe instabilities on the geometries with hyperscaling violation in the IR, which asymptotically approach AdS4 in the UV. The instabilities break the translational invariance spontaneously and are induced by the axion term ∼aFâ̂§F in the bulk action. We first study the perturbation equations in the probe limit, and find that there is a strong correlation between the stripe instabilities caused by the axion term and parameters of the theories which determine the IR hyperscaling violation. Contrary to the IR AdS2 case, the effect of the axion term for the stripe instabilities can be enhanced/suppressed at low temperature depending on the parameters. For a certain one-parameter family of the hyperscaling violation, we find the onset of the stripe instability analytically in the axion coupling tuned model. For a more generic parameter range of hyperscaling violation, we study the instability onset by searching for the zero mode numerically on the full geometries. We also argue that quite analogous results hold after taking into account the graviton fluctuation, i.e., beyond the probe limit.
| 元の言語 | English |
|---|---|
| 記事番号 | 126006 |
| ジャーナル | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| 巻 | 87 |
| 発行部数 | 12 |
| DOI | |
| 出版物ステータス | Published - 2013 6 10 |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
これを引用
Stripe instabilities of geometries with hyperscaling violation. / Iizuka, Norihiro; Maeda, Kengo.
：: Physical Review D - Particles, Fields, Gravitation and Cosmology, 巻 87, 番号 12, 126006, 10.06.2013.研究成果: Article
}
TY - JOUR
T1 - Stripe instabilities of geometries with hyperscaling violation
AU - Iizuka, Norihiro
AU - Maeda, Kengo
PY - 2013/6/10
Y1 - 2013/6/10
N2 - We study the dynamical stripe instabilities on the geometries with hyperscaling violation in the IR, which asymptotically approach AdS4 in the UV. The instabilities break the translational invariance spontaneously and are induced by the axion term ∼aFâ̂§F in the bulk action. We first study the perturbation equations in the probe limit, and find that there is a strong correlation between the stripe instabilities caused by the axion term and parameters of the theories which determine the IR hyperscaling violation. Contrary to the IR AdS2 case, the effect of the axion term for the stripe instabilities can be enhanced/suppressed at low temperature depending on the parameters. For a certain one-parameter family of the hyperscaling violation, we find the onset of the stripe instability analytically in the axion coupling tuned model. For a more generic parameter range of hyperscaling violation, we study the instability onset by searching for the zero mode numerically on the full geometries. We also argue that quite analogous results hold after taking into account the graviton fluctuation, i.e., beyond the probe limit.
AB - We study the dynamical stripe instabilities on the geometries with hyperscaling violation in the IR, which asymptotically approach AdS4 in the UV. The instabilities break the translational invariance spontaneously and are induced by the axion term ∼aFâ̂§F in the bulk action. We first study the perturbation equations in the probe limit, and find that there is a strong correlation between the stripe instabilities caused by the axion term and parameters of the theories which determine the IR hyperscaling violation. Contrary to the IR AdS2 case, the effect of the axion term for the stripe instabilities can be enhanced/suppressed at low temperature depending on the parameters. For a certain one-parameter family of the hyperscaling violation, we find the onset of the stripe instability analytically in the axion coupling tuned model. For a more generic parameter range of hyperscaling violation, we study the instability onset by searching for the zero mode numerically on the full geometries. We also argue that quite analogous results hold after taking into account the graviton fluctuation, i.e., beyond the probe limit.
UR - http://www.scopus.com/inward/record.url?scp=84879080601&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84879080601&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.87.126006
DO - 10.1103/PhysRevD.87.126006
M3 - Article
AN - SCOPUS:84879080601
VL - 87
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 1550-7998
IS - 12
M1 - 126006
ER -