The Rolling Tachyon as a Matrix Model

Finn Larsen; Neil R. Constable

RECORD

The Rolling Tachyon as a Matrix Model

Neil R. Constable, Finn Larsen

High Energy Physics - Theory · Submitted 20 May 2003

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The matrix integrals arising here also determine the correlation functions of gauge invariant operators in two dimensional Yang-Mills theory, suggesting an equivalence between the rolling tachyon and QCD_2.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.06 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.09 · compares with prior results 0.13 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; show every role.

We express all correlation functions in timelike boundary Liouville theory as unitary matrix integrals and develop efficient techniques to evaluate these integrals. We compute large classes of correlation functions explicitly, including an infinite number of terms in the boundary state of the rolling tachyon. The matrix integrals arising here also determine the correlation functions of gauge invariant operators in two dimensional Yang-Mills theory, suggesting an equivalence between the rolling tachyon and QCD_2.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We express all correlation functions in timelike boundary Liouville theory as unitary matrix integrals and develop efficient techniques to evaluate these integrals.	contribution 0.57	0.95	0.16	asserted 1.00
s1	We compute large classes of correlation functions explicitly, including an infinite number of terms in the boundary state of the rolling tachyon.	result 0.89	0.96	0.16	asserted 1.00
s2	The matrix integrals arising here also determine the correlation functions of gauge invariant operators in two dimensional Yang-Mills theory, suggesting an equivalence between the rolling tachyon and QCD_2.	interpretation 0.99	0.67	0.57	hedged possibility 1.00

What kind of paper the classifier reports this is: theoretical result 0.81 · evidence from proof or derivation 0.93.

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The paper

Original abstract

We express all correlation functions in timelike boundary Liouville theory as unitary matrix integrals and develop efficient techniques to evaluate these integrals. We compute large classes of correlation functions explicitly, including an infinite number of terms in the boundary state of the rolling tachyon. The matrix integrals arising here also determine the correlation functions of gauge invariant operators in two dimensional Yang-Mills theory, suggesting an equivalence between the rolling tachyon and QCD_2.

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References

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

A solution to the 4-tachyon off-shell amplitude in cubic string field theory
hep-th 2006-03 accept novelty 5.0 of 10

A new series solution for the off-shell factor kappa(x) yields the quartic tachyon coupling c4 ≈ 1.74220008(3) and the exact rolling-tachyon coefficient a3 ≈ 0.00241475435(3).
Liouville Field Theory -- A decade after the revolution
hep-th 2004-02 conditional novelty 3.0 of 10

The paper reviews Liouville field theory and its matrix-model dual through early 2004, adding limited original derivations for N=2 dual actions and unoriented crosscap comparisons.
Tachyon Dynamics in Open String Theory
hep-th 2004-10 accept novelty 2.0 of 10

A comprehensive review of open string tachyon condensation argues that unstable D-brane dynamics is captured by an internally consistent open string field theory without explicit closed-string coupling.

How the literature uses it

6 arXiv papers cite this in 11 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 6 sentences without a confident label

Contests it 1 paper

Closed string pair production, or associated two-point functions were investigated in [ref] but the obtained amplitudes did not display the expected pole structure.

Electrostatics approach to closed string pair production from a decaying D-brane · Introduction · contest 0.84

Uses its method or tool 1 paper

The method presented in [ref] uses expansions in a particular set of symmetric polynomials called the Schur polynomials, and applies directly to the present case.

New results for the SQCD Hilbert series · Schur polynomials · 0.98

Cites it as background 3 papers

This process, called “rolling tachyon" [ref] , is believed to be responsible for the decay of the unstable D-brane.

Applications of Thirring Model to Inhomogenous Rolling Tachyon and Dissipative Quantum Mechanics · Introduction · 0.92
(Other string production work is found in [ref] .) A simple toy model is obtained by moving to the minisuperspace approximation, where strings are pointlike, and the problem reduces to a relatively simple quantum mechanical scattering problem.

N-point functions in rolling tachyon background · Introduction and Summary · 0.99
The integral refdef has been previously analyzed in the context of D-brane decay [ref] .

New results for the SQCD Hilbert series · Schur polynomials · 0.90

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