Quantum Liouville theory on the pseudosphere with heavy charges

2005/08/31 by Pietro Menotti, Erik Tonni · 12 citations
Mathematics · Physics and Astronomy · #Beta function (physics) #Black Holes and Theoretical Physics #Conformal map #Function (biology) #Liouville field theory #Mathematical analysis #Mathematical physics #Mathematics #Physics #Point (geometry) #Pure mathematics #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems #Quantum gravity #Quantum mechanics #Relationship between string theory and quantum field theory #hep-th

paper · pdf · doi:10.1016/j.physletb.2005.11.061

published in Physics Letters B 633(2-3), 404-408 (Elsevier BV) · LaTeX, 10 pages

arxiv created 2005/08/31 · openalex publication_date 2005/12/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We develop a perturbative expansion of quantum Liouville theory on the pseudosphere around the background generated by heavy charges. Explicit results are presented for the one and two point functions corresponding to the summation of infinite classes of standard perturbative graphs. The results are compared to the one point function and to a special case of the two point function derived by Zamolodchikov and Zamolodchikov in the bootstrap approach, finding complete agreement. A partial summation of the conformal block is also obtained.

Citations

• Liouville field theory on a pseudosphere
• Correlation functions and vertex operators of Liouville theory
• EQUIVALENCE OF GEOMETRIC h<1/2 AND STANDARD c>25 APPROACHES TO TWO-DIMENSIONAL QUANTUM GRAVITY
• The tetrahedron graph in Liouville theory on the pseudosphere
• Conformal Field Theory

Cited by

• Entanglement hamiltonian and entanglement contour in inhomogeneous 1D critical systems