The holographic fermions dual to massive gravity

• Published in: Science China. Physics, mechanics & astronomy Vol. 59; no. 10; pp. 49 - 57
• Main Authors: Fang, Li-Qing, Kuang, Xiao-Mei, Wu, Jian-Pin
• Format: Journal Article
• Language: English
• Published: Beijing Science China Press 01.10.2016; Springer Nature B.V
• Subjects: Astronomy; Classical and Continuum Physics; Dipole interactions; Fermi liquids; Fermi surfaces; Fermions; Field theory; Observations and Techniques; Operators (mathematics); Physics; Physics and Astronomy; 全息; 爱因斯坦引力; 色散关系; 谱函数; 费米子; 费米表面; 边界理论; 非费米液体; AdS/CFT correspondence; holography duality; holographic fermions
• ISSN: 1674-7348; 1869-1927
• DOI: 10.1007/s11433-016-0160-9

We investigate the properties of the spectral function of the fermionic operator in the field theory which is dual to a 4-dimensional massive gravity. We first study the Fermi surface and the dispersion relation in the dual boundary theory. We find that as the massive parameters is decreased, the Fermi momentum becomes lower and the low energy excitation near Fermi surface behaves more like non-Fermi liquid. Then, we introduce a dipole coupling in the bulk theory and explore the emergence of a gap in the fermionic spectral function. It is found that larger critical dipole coupling is needed to open the gap than that in Einstein gravity. Accordingly,in the field theory dual to massive gravity, it requires stronger negative dipole coupling to generate the marginal Fermi liquid.