Loop Space Hamiltonians And Field Theory Of Non-Critical Strings

A. Jevicki; J. Rodrigues

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Loop Space Hamiltonians And Field Theory Of Non-Critical Strings

A. Jevicki, J. Rodrigues

High Energy Physics - Theory · Submitted 14 Dec 1993

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

The authors' main claim We demonstrate how collective field theory with its loop space interactions generates a field theory of non-critical strings.

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.05 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.51 · mentions code or data availability 0.01.

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We consider the loop space representation of multi-matrix models. Explaining the origin of a time variable through stochastic quantization we make contact with recent proposals of Ishibashi and Kawai. We demonstrate how collective field theory with its loop space interactions generates a field theory of non-critical strings.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We consider the loop space representation of multi-matrix models.	contribution 0.70	0.68	0.06	asserted 0.70
s1	Explaining the origin of a time variable through stochastic quantization we make contact with recent proposals of Ishibashi and Kawai.	contribution 0.53	0.82	0.07	asserted 0.98
s2	We demonstrate how collective field theory with its loop space interactions generates a field theory of non-critical strings.	result 0.60	0.91	0.76	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 0.94.

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The paper

Original abstract

We consider the loop space representation of multi-matrix models. Explaining the origin of a time variable through stochastic quantization we make contact with recent proposals of Ishibashi and Kawai. We demonstrate how collective field theory with its loop space interactions generates a field theory of non-critical strings.

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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

Dynamical Triangulations for 2D Pure Gravity and Topological Recursion
hep-th 2025-09 unverdicted novelty 6.0 of 10

Schwinger-Dyson equations for 2D Euclidean pure gravity are reformulated as Chekhov-Eynard-Orantin topological recursion for basic-type, strip-type, and continuum dynamical triangulation models.
Holographic and Wilsonian Renormalization Groups
hep-th 2010-10 conditional novelty 6.0 of 10

The Wilsonian effective action of a holographic field theory is an integral transform of the bulk radial wavefunction and obeys a Hamilton-Jacobi flow equation that necessarily includes multi-trace operators.
AdS_4/CFT_3 Construction from Collective Fields
hep-th 2010-08 conditional novelty 6.0 of 10

An explicit canonical transformation maps the bi-local collective coordinates of the O(N) vector model in 3D to the coordinates of 4D anti-de Sitter space plus a spin variable, at the level of the free theory.

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10 arXiv papers cite this in 11 sentences

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Papers citing it · 6 sentences without a confident label

Uses its method or tool 2 papers

A straight forward way to determine this Jacobian [ref] is by requiring that the Schwinger-Dyson equations derived in the original $ϕ^a(x^μ)$ variables agree with those derived using the $σ(x_1^μ,x_2^μ)$ variables[The set of gauge invariant variables that defines the collective field must be chosen large enough that the invariants appearing in the Schwinger-Dyson equations all belong to the set.].

Gravitational dynamics from collective field theory · Collective Field Theory · 0.87
Therefore it is quite easy to develop the Fokker-Planck formalism [ref] for string fields using which we can compute the off-shell amplitudes $A_g,n^I_1⋯I_n$.

Strebel differentials and string field theory · The Fokker-Planck formalism · 0.84

Compares with it 1 paper

This formulation is reminiscent of an analogous formulation for Euclidean quantum gravity defined through DT [ref] .

Causal random geometry from stochastic quantization · Conclusion · 0.99

Cites it as background 2 papers

The relation between the string field theory of DT and the matrix model was also discussed in [ref] .

Dynamical Triangulations for 2D Pure Gravity and Topological Recursion · Introduction · 0.91
Large $N$ multi-matrix problems are at the center of many theories of current interest, involving membranes [ref] , reduced super Yang-Mills theories [ref] , field theory of critical and noncritical strings [ref] , phase transitions and black holes [ref] , and M-atrix theory [ref] .

Large N Optimization for multi-matrix systems · Introduction · 0.99

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