Holographic two-point functions in a disorder system. (English) Zbl 1523.81146
Summary: We study the holographic dual of two-point correlation functions for nonconformal field theories. We first take into account a Lifshitz geometry as the dual of a Lifshitz field theory which may appear at a critical or IR fixed point. We explicitly show the holographic relation between a Lifshitz geometry and a Lifshitz field theory by calculating two-point correlators and equation of state parameter on both sides. We also investigate a disorder deformation, which allows a UV conformal field theory to flow into a new IR Lifshitz field theory. In this deformed theory, we investigate an anomalous dimension representing the change of an operator’s scaling dimension along the RG flow.
MSC:
| 81T35 | Correspondence, duality, holography (AdS/CFT, gauge/gravity, etc.) |
| 81V05 | Strong interaction, including quantum chromodynamics |
| 81T17 | Renormalization group methods applied to problems in quantum field theory |
| 62H20 | Measures of association (correlation, canonical correlation, etc.) |
| 47H10 | Fixed-point theorems |
| 82B44 | Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics |
| 14D15 | Formal methods and deformations in algebraic geometry |
| 81T50 | Anomalies in quantum field theory |
References:
| [1] | Maldacena, J. M., Int. J. Theor. Phys.. Int. J. Theor. Phys., Adv. Theor. Math. Phys., 2, 231 (1998) · Zbl 0914.53047 |
| [2] | Gubser, S. S.; Klebanov, I. R.; Polyakov, A. M., Phys. Lett. B, 428, 105 (1998) · Zbl 1355.81126 |
| [3] | Witten, E., Adv. Theor. Math. Phys., 2, 253 (1998) · Zbl 0914.53048 |
| [4] | Witten, E., Adv. Theor. Math. Phys., 2, 505 (1998) · Zbl 1057.81550 |
| [5] | Maldacena, J. M., Phys. Rev. Lett., 80, 4859 (1998) · Zbl 0947.81128 |
| [6] | Rey, S.-J.; Theisen, S.; Yee, J.-T., Nucl. Phys. B, 527, 171 (1998) · Zbl 0956.83059 |
| [7] | Park, C., Phys. Rev. D, 81, Article 045009 pp. (2010) |
| [8] | Ryu, S.; Takayanagi, T., Phys. Rev. Lett., 96, Article 181602 pp. (2006) · Zbl 1228.83110 |
| [9] | Ryu, S.; Takayanagi, T., J. High Energy Phys., 08, Article 045 pp. (2006) |
| [10] | Myers, R. C.; Singh, A., J. High Energy Phys., 04, Article 122 pp. (2012) |
| [11] | Blanco, D. D.; Casini, H.; Hung, L.-Y.; Myers, R. C., J. High Energy Phys., 08, Article 060 pp. (2013) · Zbl 1342.83128 |
| [12] | Wong, G.; Klich, I.; Pando Zayas, L. A.; Vaman, D., J. High Energy Phys., 12, Article 020 pp. (2013) |
| [13] | Bhattacharya, J.; Nozaki, M.; Takayanagi, T.; Ugajin, T., Phys. Rev. Lett., 110, Article 091602 pp. (2013) |
| [14] | Momeni, D.; Raza, M.; Gholizade, H.; Myrzakulov, R., Int. J. Theor. Phys., 55, 4751 (2016) · Zbl 1358.81144 |
| [15] | Fischler, W.; Kundu, S., J. High Energy Phys., 05, Article 098 pp. (2013) |
| [16] | Kim, K.-S.; Park, C., Phys. Rev. D, 95, Article 106007 pp. (2017) |
| [17] | Park, C., Phys. Rev. D, 92, Article 126013 pp. (2015) |
| [18] | Susskind, L.; Witten, E. (1998) |
| [19] | Solodukhin, S. N., Nucl. Phys. B, 539, 403 (1999) · Zbl 0949.81026 |
| [20] | D’Hoker, E.; Freedman, D. Z.; Skiba, W., Phys. Rev. D, 59, Article 045008 pp. (1999) |
| [21] | Liu, H.; Tseytlin, A. A., Phys. Rev. D, 59, Article 086002 pp. (1999) |
| [22] | Balasubramanian, V.; Ross, S. F., Phys. Rev. D, 61, Article 044007 pp. (2000) |
| [23] | Louko, J.; Marolf, D.; Ross, S. F., Phys. Rev. D, 62, Article 044041 pp. (2000) |
| [24] | Kraus, P.; Ooguri, H.; Shenker, S., Phys. Rev. D, 67, Article 124022 pp. (2003) |
| [25] | Fidkowski, L.; Hubeny, V.; Kleban, M.; Shenker, S., J. High Energy Phys., 02, Article 014 pp. (2004) |
| [26] | Park, C.; Lee, J. H., J. High Energy Phys., 02, Article 135 pp. (2021) |
| [27] | Rodriguez-Gomez, D.; Russo, J. G., J. High Energy Phys., 06, Article 048 pp. (2021) · Zbl 1466.83057 |
| [28] | Balasubramanian, K.; McGreevy, J., Phys. Rev. Lett., 101, Article 061601 pp. (2008) · Zbl 1228.81247 |
| [29] | Goldberger, W. D., J. High Energy Phys., 03, Article 069 pp. (2009) |
| [30] | Adams, A.; Balasubramanian, K.; McGreevy, J., J. High Energy Phys., 11, Article 059 pp. (2008) |
| [31] | Maldacena, J.; Martelli, D.; Tachikawa, Y., J. High Energy Phys., 10, Article 072 pp. (2008) · Zbl 1245.81200 |
| [32] | Minic, D.; Pleimling, M., Phys. Rev. E, 78, Article 061108 pp. (2008) |
| [33] | Kovtun, P.; Nickel, D., Phys. Rev. Lett., 102, Article 011602 pp. (2009) |
| [34] | Lee, S.-S., Phys. Rev. D, 79, Article 086006 pp. (2009) |
| [35] | Lin, F.-L.; Wu, S.-Y., Phys. Lett. B, 679, 65 (2009) |
| [36] | Mazzucato, L.; Oz, Y.; Theisen, S., J. High Energy Phys., 04, Article 073 pp. (2009) |
| [37] | Rangamani, M.; Ross, S. F.; Son, D. T.; Thompson, E. G., J. High Energy Phys., 01, Article 075 pp. (2009) · Zbl 1243.81179 |
| [38] | Akhavan, A.; Alishahiha, M.; Davody, A.; Vahedi, A., J. High Energy Phys., 03, Article 053 pp. (2009) |
| [39] | Kachru, S.; Liu, X.; Mulligan, M., Phys. Rev. D, 78, Article 106005 pp. (2008) |
| [40] | Taylor, M. (2008) |
| [41] | Keranen, V.; Thorlacius, L., Class. Quantum Gravity, 29, Article 194009 pp. (2012) · Zbl 1254.83036 |
| [42] | Keranen, V.; Sybesma, W.; Szepietowski, P.; Thorlacius, L., J. High Energy Phys., 05, Article 033 pp. (2017) · Zbl 1380.81334 |
| [43] | Kord Zangeneh, M.; Wang, B.; Sheykhi, A.; Tang, Z. Y., Phys. Lett. B, 771, 257 (2017) · Zbl 1372.83046 |
| [44] | Park, C., Adv. High Energy Phys., 2014, Article 917632 pp. (2014) · Zbl 1425.83077 |
| [45] | Park, C., Phys. Rev. D, 89, Article 066003 pp. (2014) |
| [46] | Park, C., Int. J. Mod. Phys. A, 29, Article 1430049 pp. (2014) · Zbl 1301.70022 |
| [47] | Park, C., Phys. Rev. D, 105, Article 046004 pp. (2022) |
| [48] | Hartnoll, S. A.; Santos, J. E., Phys. Rev. Lett., 112, Article 231601 pp. (2014) |
| [49] | Narayanan, R.; Park, C.; Zhang, Y.-L., Phys. Rev. D, 99, Article 046019 pp. (2019) |
| [50] | Park, C., Adv. High Energy Phys., 2013, Article 389541 pp. (2013) · Zbl 1328.81185 |
| [51] | Arean, D.; Farahi, A.; Pando Zayas, L. A.; Landea, I. S.; Scardicchio, A., Phys. Rev. D, 89, Article 106003 pp. (2014) |
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