Conformal Blocks for the 4-Point Function in Conformal Quantum Mechanics

Scale-free quantum mechanics was investigated in response to MIT/SLAC deep inelastic scattering results. The g / q 2 g/q^{2} potential appeared in a pedagogical article on scale symmetry: R. Jackiw, “Introducing Scale Symmetry,” Phys. Today

1972

Earlier work this paper cites.

C. Chamon, R. Jackiw, S. -Y. Pi and L. Santos, “Conformal quantum mechanics as the CFT 1 dual to AdS 2 ,” Phys. Lett. B

Original

2011

Cited alongside, same era.

| t ⟩ \left|t\right\rangle states that satisfy (by postulate) ( 1.10

Cited in the paper.

d’AFF ref. [ 2 ]

Cited in the paper.

A careful evaluation shows that the singularity in G 2 ​ ( t 1 , t 2 ) ​ at ​ t 1 = t 2 G_{2}(t_{1},t_{2})\ \text{at}\ t_{1}=t_{2} is regulated as t 1 − t 2 → t 1 − t 2 − i ​ ε t_{1}-t_{2}\to t_{1}-t_{2}-i\,\varepsilon

Cited in the paper.

S. Behbahani and D. Harlow (unpublished). Eq. ( 2.1

Cited in the paper.

F. Dolan and H. Osborn, “Conformal Partial Waves: Further Mathematical Results,” [arXiv:1108.6194 [hep-th]]

Original

Cited in the paper.

Energy eigenstates were defined by dAFF, ref [ 2 ]

Cited in the paper.

Nakayama, ref [ 8 ]

Cited in the paper.

R. Nakayama, “The World-Line Quantum Mechanics Model at Finite Temperature which is Dual to the Static Patch Observer in de Sitter Space,” Prog. Theor. Phys

Original

2012

Closest in time.