Lightcone Bootstrap at higher points

Antunes, António; Costa, Miguel S.; Goncalves, Vasco; Boas, Joao Vilas

doi:10.48550/arxiv.2111.05453

Cited by 4 publications

(4 citation statements)

References 42 publications

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“…Also note that this formula applies in any CFT (not only in d = 2), such that the density of states is given by the appropriate density of states for the CFT at hand 3. Very recently, an analysis of heavy-heavy-heavy OPE coefficients valid at large spin was carried out in[26], which comes from studying correlation functions in the lightcone limit. In this paper, we will consider a different kinematic limit: the Euclidean OPE.…”

mentioning

confidence: 99%

OPE statistics from higher-point crossing

Anous,

Belin,

de Boer

et al. 2021

Preprint

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We present new asymptotic formulas for the distribution of OPE coefficients in conformal field theories. These formulas involve products of four or more coefficients and include light-light-heavy as well as heavy-heavy-heavy contributions. They are derived from crossing symmetry of the six and higher point functions on the plane and should be interpreted as non-Gaussianities in the statistical distribution of the OPE coefficients. We begin with a formula for arbitrary operator exchanges (not necessarily primary) valid in any dimension. This is the first asymptotic formula constraining heavy-heavy-heavy OPE coefficients in d > 2. For two-dimensional CFTs, we present refined asymptotic formulas stemming from exchanges of quasi-primaries as well as Virasoro primaries.

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mentioning

confidence: 99%

OPE statistics from higher-point crossing

Anous,

Belin,

de Boer

et al. 2021

Preprint

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“…A first connection would be with conformal bootstrap explorations. In [5][6][7]17] the conformal bootstrap was applied to the study of null correlation functions. There, no simplifying double-scaling limit was taken.…”

Section: Discussionmentioning

confidence: 99%

Stampedes II: Null Polygons in Conformal Gauge Theory

Olivucci,

Vieira

2022

Preprint

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We consider correlation functions of single trace operators approaching the cusps of null polygons in a double-scaling limit where so-called cusp times t 2 i = g 2 log x 2 i−1,i log x 2 i,i+1 are held fixed and the t'Hooft coupling is small. With the help of stampedes, symbols and educated guesses, we find that any such correlator can be uniquely fixed through a set of coupled lattice PDEs of Toda type with several intriguing novel features. These results hold for most conformal gauge theories with a large number of colours, including planar N = 4 SYM.

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“…Finally, very little is known about higher point correlation functions of five or more points (not even in N = 4 SYM or in ABJM). In multiple null limits, some progress has been made in bootstrapping these correlators in [20,21,36]. Would be nice to reproduce the double scaling limit of these results -with logs of cross-ratios exploding and the coupling vanishing with appropriate products held fixed -from stampedes and also to generalize them to more general correlators with internal bridges.…”

Section: Small Correlatorsmentioning

confidence: 99%

Stampedes I: Fishnet OPE and Octagon Bootstrap with Nonzero Bridges

Olivucci,

Vieira

2021

Preprint

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Some quantities in quantum field theory are dominated by so-called leading logs and can be re-summed to all loop orders. In this work we introduce a notion of stampede which is a simple time-evolution of a bunch of particles which start their life in a corner -on the very right say -and hop their way to the opposite corner -on the leftthrough the repeated action of a quantum Hamiltonian. Such stampedes govern leading logs quantities in certain quantum field theories. The leading euclidean OPE limit of correlation functions in the fishnet theory and null double-scaling limits of correlators in N = 4 SYM are notable examples. As an application, we use these results to extend the beautiful bootstrap program of Coronado [1] to all octagons functions with arbitrary diagonal bridge length.

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Lightcone Bootstrap at higher points

Cited by 4 publications

References 42 publications

OPE statistics from higher-point crossing

OPE statistics from higher-point crossing

Stampedes II: Null Polygons in Conformal Gauge Theory

Stampedes I: Fishnet OPE and Octagon Bootstrap with Nonzero Bridges

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