RG flows, cycles, and c-theorem folklore

S R McKay, A N Berker, and S Kirkpatrick, “Spin-Glass Behavior in Frustrated Ising Models with Chaotic Renormalization-Group Trajectories” Phys. Rev. Lett. 48 (1982) 767–770. http://prl.aps.org/abstract/PRL/v48/i11/p767_1

1982

Earlier work this paper cites.

A B Zamolodchikov, “‘Irreversibility’ of the Flux of the Renormalization Group in a 2D Field Theory” JETP Lett. 43 (1986) 730-732. http://www.jetpletters.ac.ru/ps/1413/article_21504.pdf

1986

Earlier work this paper cites.

A J Bray and M A Moore, “Chaotic Nature of the Spin-Glass Phase” Phys. Rev. Lett. 58 (1987) 57–60. http://prl.aps.org/abstract/PRL/v58/i1/p57_1

1987

Earlier work this paper cites.

J L Cardy, “Is There a c-Theorem in Four Dimensions?” Phys. Lett. B215 (1988) 749. http://www.sciencedirect.com/science/article/pii/ 0370269388900548

1988

Earlier work this paper cites.

B P Dolan, “Chaotic behavior of renormalization flow in a complex magnetic field” Phys. Rev. E52 (1995) 4512-4515. http://pre.aps.org/abstract/PRE/v52/i4/p4512_1

1995

Earlier work this paper cites.

D Anselmi, D Z Freedman, M T Grisaru, and A A Johansen, “Nonperturbative formulas for central functions of supersymmetric gauge theories” Nucl. Phys. B526 (1998) 543-571. arXiv:hep-th/9708042

1998

Cited alongside, same era.

A Morozov and A J Niemi, “Can Renormalization Group Flow End in a Big Mess?” Nucl. Phys. B666 (2003) 311-336. arXiv:hep-th/0304178

2003

Cited alongside, same era.

A LeClair, J M Roman, and G Sierra, “Log-periodic behavior of finite size effects in field theories with RG limit cycles” Nucl. Phys. B700 (2004) 407-435. arXiv:hep-th/0312141

2004

Cited alongside, same era.

The Russian doll model of LeClair et al. and other interesting examples of limit cycles are discussed in E Braaten and H-W Hammer, “Universality in Few-body Systems with Large Scattering Length” Phys. Rept. 428 (2006) 259-390 arXiv:cond-mat/0410417 [cond-mat.other]. However, the c-theorem is not discussed therein

2006

Cited alongside, same era.

J Cardy, “The Ubiquitous ‘c’: from the Stefan-Boltzmann Law to Quantum Information” J. Stat. Mech. 1010 (2010) P10004. arXiv:1008.2331 [cond-mat.stat-mech]

Original

2010

Later among the works it cites.

The Riemann sheet structure of various complex coupling flows have been previously discussed in the literature. For example, see A Denbleyker, D Du, Y Liu, Y Meurice, and H Zou, “Fisher’s Zeros as the Boundary of Renormalization Group Flows in Complex Coupling Spaces” Phys. Rev. Lett. 104 (2010) 251601 arXiv:1005.1993 [hep-lat]; Y Meurice and H Zou, “Complex renormalization group flows for 2D nonlinear O(N) sigma models” Phys. Rev. D 83 (2011) 056009 arXiv:1101.1319v3 [hep-lat]

Original

2011

Closest in time.

J-F Fortin, B Grinstein, and A Stergiou “Scale without Conformal Invariance: An Example” Phys. Lett. B704:74-80 (2011). arXiv:1106.2540 [hep-th]

Original

2011

Closest in time.

T L Curtright and C K Zachos, “Renormalization Group Functional Equations” Phys. Rev. D83 (2011) 065019. arXiv:1010.5174 [hep-th]

Original

2011

Closest in time.