States and quantum effects in the collective field theory of a deformed matrix model

Abstract

We derive an equation which gives the tree-level scattering amplitudes for tachyons in the black hole background using the exact states of the collective field hamiltonian corresponding to a deformed matrix model recently proposed by Jevicki and Yoneya. Using directly the symmetry algebra we obtain explicit expression for a class of amplitudes in the tree approximation. We also study the quantum effects in the corresponding collective field theory. In particular, we compute the ground state energy and the free energy at finite temperature up to two loops, and the first quantum correction to the two-point function.

25 pages, PUPT-1407 and CNLS-93-06, 2 figures included, harvmac + epsf

References in corpus (6)

• Stringy Quantum Effects in 2-Dimensional Black-Hole
• Matrix Models and Black Holes
• Algebraic Structures and Eigenstates for Integrable Collective Field Theories
• Black hole formation in $c=1$ String Field Theory
• Symmetries and Special States in Two Dimensional String Theory
• Scattering States and Symmetries in the Matrix Model and Two Dimensional String Theory

Cited by in corpus (17)

• Flux Backgrounds in 2D String Theory
• On Black Hole Thermodynamics of 2-D Type 0A
• Noncritical Superstrings in a Ramond-Ramond Background
• On the Nonperturbative Consistency of $d=2$ String Theory
• Quantum and Classical Aspects of Deformed $c=1$ Strings.
• Type 0A 2D Black Hole Thermodynamics and the Deformed Matrix Model
• Noncritical M-Theory in 2+1 Dimensions as a Nonrelativistic Fermi Liquid
• Comments on 2D Type IIA String and Matrix Model
• Topological B-Model, Matrix Models, $\hat{c}=1$ Strings and Quiver Gauge Theories
• A matrix model black hole: act II
• The Deformed Matrix Model at Finite Radius and a New Duality Symmetry
• The Conformal Limit of the 0A Matrix Model and String Theory on AdS(2)
• Two-Dimensional String Theory, Topological Field Theories and the Deformed Matrix Model
• 4D black holes and holomorphic factorization of the 0A matrix model
• The Scattering of Strings in a Black-Hole Background
• Condensing Momentum Modes in 2-d 0A String Theory with Flux
• The stringy nature of the 2d type-0A black hole