Fine corrections in the effective string describing SU(2) Yang-Mills theory in three dimensions

Fabrizio, Caristo,; Caselle, Michele; Magnoli, Nicodemo; Nada, Alessandro; Panero, Marco; Antonio, Smecca,

doi:10.1007/jhep03(2022)115

Cited by 8 publications

(7 citation statements)

References 93 publications

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“…In this case, naive positivity predicts γ 3 > 0 and the non-perturbative S-matrix bootstrap predicts γ 3 > − 1 768 [36]. Only the latter is compatible with the lattice measurements for SU (2) pure Yang-Mills [63].…”

Section: F Unitarity Versus Positivitymentioning

confidence: 50%

Snowmass White Paper: S-matrix Bootstrap

Kruczenski¹,

Penedones²,

Rees³

2022

Preprint

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The S-matrix Bootstrap originated on the idea that the S-matrix might be fully constrained by global symmetries, crossing, unitarity, and analyticity without relying on an underlying dynamical theory that may or may not be a quantum field theory. Recently this approach was revived from a somewhat different point of view. Using the same constraints, one numerically maps out the (infinite-dimensional) space of allowed S-matrices that should contain all consistent quantum field theories (and quantum theories of gravity). Moreover, in the best case scenario one finds special points in the space that can be identified with a certain quantum field theory of interest. In that case, the approach allows the numerical computation of the S-matrix without relying on the particular Lagrangian of the theory.In this white paper we summarize the state of the art and discuss the future of the topic.

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Section: F Unitarity Versus Positivitymentioning

confidence: 50%

Snowmass White Paper: S-matrix Bootstrap

Kruczenski¹,

Penedones²,

Rees³

2022

Preprint

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show abstract

“…We report in this proceeding a preliminary analysis of these data. Further details and a larger set of simulations can be found in [9].…”

Section: Simulation Resultsmentioning

confidence: 99%

“…In this contribution we report the results, that we recently discussed in ref. [9], of a set of simulations of the SU(2) gauge theory in (2 + 1) dimensions. We studied the Polyakov loop correlators in the range of temperatures 0.8𝑇 𝑐 ≤ 𝑇 ≤ 𝑇 𝑐 (where 𝑇 𝑐 denotes the deconfinement temperature) from which we extracted the interquark potential to be compared with the effective string predictions.…”

Section: Introductionmentioning

confidence: 99%

On the behaviour of the interquark potential in the vicinity of the deconfinement transition

Caristo¹,

Caselle²,

Magnoli³

et al. 2022

Preprint

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In the vicinity of the deconfinement transition the behaviour of the interquark potential can be precisely predicted using the Effective String Theory (EST). If the transition is continuous we can combine EST results with a conformal perturbation analysis and reach the degree of precision needed to detect the corrections beyond the Nambu-Gotō approximation in the EST. We discuss in detail this issue in the case of the deconfinement transition of the SU(2) gauge theory in (2 + 1) dimensions (which belongs to the same universality class of the 2d Ising model) by means of an extensive set of high precision simulations. We show that the Polyakov loops correlator of the SU(2) model is precisely described by the spin-spin correlator of the 2d Ising model not only at the critical point, but also down to temperatures of the order of 0.8𝑇 𝑐 . Thanks to the exact integrability of the Ising model we can extend the comparison in the whole range of Polyakov loop separations, even beyond the conformal perturbation regime. We use these results to quantify the first EST correction beyond Nambu-Gotō and show that it is compatible with the bounds imposed by a bootstrap analysis of EST. This correction encodes important physical information and may shed light on the nature of the flux tube and of its EST description.

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“…• It is the first step toward an analytic study of the corrections beyond Nambu-Goto, which have been recently the subject of great interest in the EST community [55][56][57][58][59][60].…”

Section: Jhep02(2024)048mentioning

confidence: 99%

“…LGTs [55][56][57][58][59][60]. In order to address more complex models one should first have a perfect control of the Nambu-Goto EST.…”

Section: Jhep02(2024)048mentioning

confidence: 99%

Sampling the lattice Nambu-Goto string using Continuous Normalizing Flows

Caselle,

Cellini,

Nada

2024

J. High Energ. Phys.

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Effective String Theory (EST) represents a powerful non-perturbative approach to describe confinement in Yang-Mills theory that models the confining flux tube as a thin vibrating string. EST calculations are usually performed using the zeta-function regularization: however there are situations (for instance the study of the shape of the flux tube or of the higher order corrections beyond the Nambu-Goto EST) which involve observables that are too complex to be addressed in this way. In this paper we propose a numerical approach based on recent advances in machine learning methods to circumvent this problem. Using as a laboratory the Nambu-Goto string, we show that by using a new class of deep generative models called Continuous Normalizing Flows it is possible to obtain reliable numerical estimates of EST predictions.

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Fine corrections in the effective string describing SU(2) Yang-Mills theory in three dimensions

Cited by 8 publications

References 93 publications

Snowmass White Paper: S-matrix Bootstrap

Snowmass White Paper: S-matrix Bootstrap

On the behaviour of the interquark potential in the vicinity of the deconfinement transition

Sampling the lattice Nambu-Goto string using Continuous Normalizing Flows

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