Scattering from production in 2d

Tourkine, Piotr; Zhiboedov, Alexander

doi:10.1007/jhep07(2021)228

Cited by 24 publications

(13 citation statements)

References 33 publications

(82 reference statements)

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“…It is interesting that there exist amplitudes belonging to different models which are very similar in the elastic regime and differ significantly in the non-elastic regime. See [61] for a related discussion, where the authors studied the question of how sensitive the elastic part of the amplitude is to the inelastic regime, if one regards the latter as an input to the S-matrix bootstrap and the former as an output. In particular, it would likely shed light on the similarity of the φ 4 and sinh-Gordon elastic amplitudes by studying how much our S-matrix bounds vary under changes of the inelastic amplitudes, using the framework of [61].…”

Section: Comparison Of the Sinh-gordon Model And φ 4 Modelmentioning

confidence: 99%

Bootstrapping 2d ϕ4 theory with Hamiltonian truncation data

Chen

Fitzpatrick

Karateev

2022

J. High Energ. Phys.

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We combine the methods of Hamiltonian Truncation and the recently proposed generalisation of the S-matrix bootstrap that includes local operators to determine the two-particle scattering amplitude and the two-particle form factor of the stress tensor at s > 0 in the 2d ϕ4 theory. We use the form factor of the stress tensor at s ≤ 0 and its spectral density computed using Lightcone Conformal Truncation (LCT), and inject them into the generalized S-matrix bootstrap set-up. The obtained results for the scattering amplitude and the form factor are fully reliable only in the elastic regime. We independently construct the “pure” S-matrix bootstrap bounds (bootstrap without including matrix elements of local operators), and find that the sinh-Gordon model and its analytic continuation the “staircase model” saturate these bounds. Surprisingly, the ϕ4 two-particle scattering amplitude also very nearly saturates these bounds, and moreover is extremely close to that of the sinh-Gordon/staircase model.

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Section: Comparison Of the Sinh-gordon Model And φ 4 Modelmentioning

confidence: 99%

Bootstrapping 2d ϕ4 theory with Hamiltonian truncation data

Chen

Fitzpatrick

Karateev

2022

J. High Energ. Phys.

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“…Entanglement/relative entropy has been incorporated into the bootstrap in [82,83]. A related bootstrap approach which tries to fix the form of the amplitude from a knowledge of particle production is given in [84].…”

Section: Unitarity Causality and Analyticity In S-matrixmentioning

confidence: 99%

Snowmass White Paper: UV Constraints on IR Physics

Rham¹,

Kundu²,

Reece³

et al. 2022

Preprint

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Fundamental principles of local quantum field theory or of quantum gravity can enforce consistency requirements on the space of consistent low-energy effective field theories. We survey the various techniques that have been used to put UV constraints on IR physics, including those from causality considerations in the form of S-matrix positivity and bootstrap bounds, scattering time delays, conformal field theory and holographic methods, together with those that arise from landscape/swampland criteria such as the weak gravity conjecture. We review recent applications of these constraints to corrections to Standard Model physics, corrections to Einstein gravity, and cosmological theories and highlight promising future directions.

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“…It would be very interesting to avoid the numerical saturation of the unitarity constraints, and obtain physical amplitudes with non-zero particle creation. See [29] for a first step in this direction.…”

Section: Higher-dimensional Amplitudesmentioning

confidence: 99%

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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Scattering from production in 2d

Cited by 24 publications

References 33 publications

Bootstrapping 2d ϕ4 theory with Hamiltonian truncation data

Bootstrapping 2d ϕ4 theory with Hamiltonian truncation data

Snowmass White Paper: UV Constraints on IR Physics

Snowmass White Paper: S-matrix Bootstrap

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