Abstract
We study the renormalization group flow in strongly interacting field theories in the fermion sector corresponding to the transition from theories without a Lorentz invariance at high energies to theories with an approximate Lorentz invariance in the infrared limit. We use the holographic description of the strong coupling. We give special attention to the emergence of chiral fermions in the low-energy limit.
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References
H. B. Nielsen and M. Ninomiya, Nucl. Phys. B, 141, 153–177 (1978).
S. Chadha and H. B. Nielsen, Nucl. Phys. B, 217, 125–144 (1983).
P. Horava, Phys. Rev. D, 79, 084008 (2009); arXiv:0901.3775v2 [hep-th] (2009).
E. M. Lifshitz, Sov. Phys. JETP, 11, 255–269 (1941).
D. Blas, O. Pujolàs, and S. Sibiryakov, Phys. Rev. Lett., 104, 181302 (2010); arXiv:0909.3525v1 [hep-th] (2009).
D. Blas, O. Pujolàs, and S. Sibiryakov, JHEP, 1104, 018 (2011); arXiv:1007.3503v1 [hep-th] (2010).
D. Blas and E. Lim, Internat. J. Mod. Phys. D, 23, 1443009 (2014); arXiv:1412.4828v2 [gr-qc] (2014).
T. Jacobson and D. Mattingly, Phys. Rev. D, 64, 024028 (2001); arXiv:gr-qc/0007031v4 (2000).
N. Arkani-Hamed, H.-C. Cheng, M. A. Luty, and S. Mukohyama, JHEP, 0405, 074 (2004); arXiv:hep-th/0312099v1 (2003).
S. L. Dubovsky, JHEP, 0410, 076 (2004); arXiv:hep-th/0409124v2 (2004).
V. A. Rubakov and P. G. Tinyakov, Phys. Usp., 51, 759–792 (2008); arXiv:0802.4379v1 [hep-th] (2008).
T. Clifton, P. G. Ferreira, A. Padilla, and C. Skordis, Phys. Rep., 513, 1–189 (2012); arXiv:1106.2476v3 [astro-ph.CO] (2011).
O. Vafek, Z. Tešanović, and M. Franz, Phys. Rev. Lett., 89, 157003 (2002); arXiv:cond-mat/0203047v2 (2002)
M. Franz, Z. Tešanović, and O. Vafek, Phys. Rev. B, 66, 054535 (2002); arXiv:cond-mat/0203333v3 (2002).
D. J. Lee and I. F. Herbut, Phys. Rev. B, 66, 094512 (2002); arXiv:cond-mat/0201088v4 (2002).
S.-S. Lee, Phys. Rev. B, 76, 075103 (2007); arXiv:cond-mat/0611658v5 (2006)
P. Ponte and S.-S. Lee, New J. Phys., 16, 013044 (2014); arXiv:1206.2340v2 [cond-mat.str-el] (2012).
I. F. Herbut, V. Juricic, and B. Roy, Phys. Rev. B, 79, 085116 (2009); arXiv:0811.0610v3 [cond-mat.str-el] (2008).
A. Giuliani, V. Mastropietro, and M. Porta, Ann. Phys., 327, 461–511 (2012); arXiv:1107.4741v1 [cond-mat.strel] (2011).
T. Grover, D. N. Sheng, and A. Vishwanath, Science, 344, 280–283 (2014); arXiv:1301.7449v2 [cond-mat.str-el] (2013).
G. F. Giudice, M. Raidal, and A. Strumia, Phys. Lett. B, 690, 272–279 (2010); arXiv:1003.2364v3 [hep-ph] (2010).
R. Sundrum, Phys. Rev. D, 86, 085025 (2012); arXiv:1106.4501v3 [hep-th] (2011).
G. Bednik, O. Pujolàs, and S. Sibiryakov, JHEP, 1311, 064 (2013); arXiv:1305.0011v3 [hep-th] (2013).
S. Sibiryakov, Phys. Rev. Lett., 112, 241602 (2014); arXiv:1403.4742v2 [hep-th] (2014).
D. Mattingly, Living Rev. Rel., 8, 5 (2005); arXiv:gr-qc/0502097v2 (2005).
V. A. Kostelecky and N. Russell, Rev. Modern Phys., 83, 11–31 (2011); arXiv:0801.0287v9 [hep-ph] (2008).
S. Liberati, Class. Q. Grav., 30, 133001 (2013); arXiv:1304.5795v3 [gr-qc] (2013).
M. Pospelov and Y. Shang, Phys. Rev. D, 85, 105001 (2012); arXiv:1010.5249v3 [hep-th] (2010).
M. Colombo, A. E. Gümrükcuglu, and T. P. Sotiriou, Phys. Rev. D, 91, 044021 (2015); arXiv:1410.6360v1 [hep-th] (2014).
S. R. Coleman and S. L. Glashow, Phys. Rev. D, 59, 116008 (1999); arXiv:hep-ph/9812418v3 (1998).
T. Jacobson, S. Liberati, and D. Mattingly, Phys. Rev. D, 67, 124011 (2003); arXiv:hep-ph/0209264v2 (2002); Ann. Phys., 321, 150–196 (2006); arXiv:astro-ph/0505267v2 (2005).
M. Galaverni and G. Sigl, Phys. Rev. Lett., 100, 021102 (2008); arXiv:0708.1737v2 [astro-ph] (2007); Phys. Rev. D, 78, 063003 (2008); arXiv:0807.1210v2 [astro-ph] (2008).
L. Maccione and S. Liberati, JCAP, 08, 027 (2008); arXiv:0805.2548v2 [astro-ph] (2008).
S. Liberati, L. Maccione, and T. P. Sotiriou, Phys. Rev. Lett., 109, 151602 (2012); arXiv:1207.0670v2 [gr-qc] (2012).
G. Rubtsov, P. Satunin, and S. Sibiryakov, Phys. Rev. D, 89, 123011 (2014); arXiv:1312.4368v2 [astro-ph.HE] (2013).
S. Groot Nibbelink, and M. Pospelov, Phys. Rev. Lett., 94, 081601 (2005); arXiv:hep-ph/0404271v4 (2004)
P. A. Bolokhov, S. Groot Nibbelink, M. Pospelov, Phys. Rev. D, 72, 015013 (2005); arXiv:hep-ph/0505029v2 (2005).
O. Pujolàs and S. Sibiryakov, JHEP, 1201, 062 (2012); arXiv:1109.4495v1 [hep-th] (2011).
D. Redigolo, Phys. Rev. D, 85, 085009 (2012); arXiv:1106.2035v2 [hep-th] (2011).
E. Kiritsis, JHEP, 1301, 030 (2013); arXiv:1207.2325v2 [hep-th] (2012).
M. Henningson and K. Sfetsos, Phys. Lett. B, 431, 63–68 (1998); arXiv:hep-th/9803251v2 (1998).
W. Mück and K. S. Viswanathan, Phys. Rev. D, 58, 106006 (1998); arXiv:hep-th/9805145v2 (1998).
M. Henneaux, “Boundary terms in the AdS/CFT correspondence for spinor fields,” in: Mathematical Methods in Modern Theoretical Physics (Tbilisi, Georgia, 5–18 September 1998, M. Eliashvili, G. P. Jorjadze, G. Lavrelashvili, P. Sorba, and A. Tavkhelidze, eds.), Tbilisi Univ. Press, Tbilisi (1999), pp. 161–170; arXiv:hep-th/9902137v1 (1999).
N. Iqbal and H. Liu, Fortsch. Phys., 57, 367–384 (2009); arXiv:0903.2596v3 [hep-th] (2009).
N. T. Evans, J. Math. Phys., 8, 170–184 (1967).
G. Mack, Commun. Math. Phys., 55, 1–28 (1977).
S. Minwalla, Adv. Theor. Math. Phys., 2, 783–851 (1998); arXiv:hep-th/9712074v2 (1997).
R. Contino and A. Pomarol, JHEP, 0411, 058 (2004); arXiv:hep-th/0406257v2 (2004).
L. Randall and R. Sundrum, Phys. Rev. Lett., 83, 3370–3373 (1999); arXiv:hep-ph/9905221v1 (1999).
S. Kachru, X. Liu, and M. Mulligan, Phys. Rev. D, 78, 106005 (2008); arXiv:0808.1725v2 [hep-th] (2008).
M. Taylor, “Non-relativistic holography,” arXiv:0812.0530v1 [hep-th] (2008).
K. Balasubramanian and K. Narayan, JHEP, 1008, 014 (2010); arXiv:1005.3291v3 [hep-th] (2010).
A. Donos and J. P. Gauntlett, JHEP, 1012, 002 (2010); arXiv:1008.2062v2 [hep-th] (2010).
R. Gregory, S. L. Parameswaran, G. Tasinato, and I. Zavala, JHEP, 1012, 047 (2010); arXiv:1009.3445v2 [hep-th] (2010).
D. Cassani and A. F. Faedo, JHEP, 1105, 013 (2011); arXiv:1102.5344v2 [hep-th] (2011).
H. Braviner, R. Gregory, and S. F. Ross, Class. Q. Grav., 28, 225028 (2011); arXiv:1108.3067v2 [hep-th] (2011).
T. Appelquist, M. J. Bowick, D. Karabali, and L. C. R. Wijewardhana, Phys. Rev. D, 33, 3774–3776 (1986).
D. Blas, O. Pujolàs, and S. Sibiryakov, Phys. Lett. B, 688, 350–355 (2010); arXiv:0912.0550v2 [hep-th] (2009).
G. Aad et al., New J. Phys., 15, 093011 (2013); arXiv:1308.1364v1 [hep-ex] (2013).
V. Khachatryan et al. [CMS Collab.], Phys. Lett. B, 738, 274–293 (2014); arXiv:1406.5171v2 [hep-ex] (2014).
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The research of I. V. Kharuk is supported by the Russian Foundation for Basic Research (Grant No. 14-02-31429).
The research of S. M. Sibiryakov is supported by the Swiss National Science Foundation.
Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 189, No. 3, pp. 405–428, December, 2016.
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Kharuk, I.V., Sibiryakov, S.M. Emergent Lorentz invariance with chiral fermions. Theor Math Phys 189, 1755–1774 (2016). https://doi.org/10.1134/S0040577916120084
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DOI: https://doi.org/10.1134/S0040577916120084