Coarse graining of spin net models: dynamics of intertwiners

J. B. Kogut, “An introduction to lattice gauge theory and spin systems,” Rev. Mod. Phys. 51

1979

Earlier work this paper cites.

S. R. White, “Density matrix formulation for quantum renormalization groups” Phys. Rev. Lett. 96

1992

Earlier work this paper cites.

A. Ashtekar and J. Lewandowski, “Projective techniques and functional integration for gauge theories,” J. Math. Phys. 36

1995

Earlier work this paper cites.

F. Markopoulou, “An algebraic approach to coarse graining,” arXiv:hep-th/0006199. F. Markopoulou, “Coarse graining in spin foam models,” Class. Quant. Grav. 20

2003

Earlier work this paper cites.

R. Oeckl, “A ’General boundary’ formulation for quantum mechanics and quantum gravity,” Phys. Lett. B 575

2003

Earlier work this paper cites.

J. C. Baez, J. D. Christensen, T. R. Halford and D. C. Tsang, “Spin foam models of Riemannian quantum gravity,” Class. Quant. Grav. 19

Original

2007

Earlier work this paper cites.

M. Levin, C. P. Nave, “Tensor renormalization group approach to 2D classical lattice models,” Phys. Rev. Lett. 99

2007

Earlier work this paper cites.

C. Rovelli, “Quantum Gravity” (Cambridge University Press, Cambridge 2004). A. Perez, “The Spin Foam Approach to Quantum Gravity,” arXiv:1205.2019 [gr-qc]. J. W. Barrett and L. Crane, “Relativistic spin networks and quantum gravity,” J. Math. Phys. 39

Original

2008

Earlier work this paper cites.

J. W. Barrett and C. M. Steele, “Asymptotics of relativistic spin networks,” Class. Quant. Grav. 20

Original

2008

Earlier work this paper cites.

Z. -C. Gu and X. -G. Wen, “Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order,” Phys. Rev. B 80

Original

2009

Cited alongside, same era.

C. Perini, C. Rovelli and S. Speziale, “Self-energy and vertex radiative corrections in LQG,” Phys. Lett. B 682

Original

2009

Cited alongside, same era.

V. Bonzom and E. R. Livine, “A Lagrangian approach to the Barrett-Crane spin foam model,” Phys. Rev. D 79

Original

2009

Cited alongside, same era.

Z. Y. Xie, H. C. Jiang,Q. N. Chen,Z. Y. Weng,T. Xiang, “Second Renormalization of Tensor-Network States” Phys. Rev. Lett. 103

Original

2009

Cited alongside, same era.

B. Bahr, B. Dittrich and S. Steinhaus, “Perfect discretization of reparametrization invariant path integrals,” Phys. Rev. D 83

B. Dittrich, “From the discrete to the continuous: Towards a cylindrically consistent dynamics,” New J. Phys. 14

Original

2012

Later among the works it cites.

B. Bahr, “Operator Spin Foams: holonomy formulation and coarse graining,” J. Phys. Conf. Ser. 360

Original

2012

Later among the works it cites.

S. Singh, G. Vidal,“ Tensor network state and algorithms in the presence of a global SU(2) symmetry,” Phys. Rev. B 86

Original

2012

Later among the works it cites.

B. Dittrich, F. C. Eckert and M. Martin-Benito, “Coarse graining methods for spin net and spin foam models,” New J. Phys. 14

Original

2012

Later among the works it cites.

Z. Y. Xie, J. Chen, M. ,P. Quin, J.W. Zhu, L.P. Yang,T. Xiang, “Coarse-graining renormalization by higher-order singular value decomposition,” Phys. Rev. B86