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Academic literature on the topic 'S-Matrix Bootstrap'

Author: Grafiati

Published: 6 September 2023

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Journal articles on the topic "S-Matrix Bootstrap"

1

Sivers, Dennis, and Jack L. Uretsky. "S-matrix bootstrap of a scalar Higgs boson." Physical Review Letters 68, no. 11 (March 16, 1992): 1649–52. http://dx.doi.org/10.1103/physrevlett.68.1649.

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2

KOUBEK, A., G. MUSSARDO, and R. TATEO. "BOOTSTRAP TREES AND CONSISTENT S MATRICES." International Journal of Modern Physics A 07, no. 15 (June 20, 1992): 3435–45. http://dx.doi.org/10.1142/s0217751x92001526.

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We analyze the tree structure arising from the recursive bootstrap equations, given the S matrix of the lightest particle. When S11 contains only one singularity, among all possible bootstrap systems, the only ones which give rise to a consistent set of S matrices coincide with those of sine–Gordon breathers at the reduction point ξ = 2π/(2n + 1). We also present our investigation of bootstrap systems defined by an S11 with a higher number of singularities. The only consistent examples we found belong to the set of minimal S matrices corresponding to Dynkin diagrams.

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KOUBEK, A. "S MATRICES OF ϕ1,2-PERTURBED MINIMAL MODELS: IRF FORMULATION AND BOOTSTRAP PROGRAM." International Journal of Modern Physics A 09, no. 11 (April 30, 1994): 1909–27. http://dx.doi.org/10.1142/s0217751x94000820.

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We analyze the algebraic structure of ϕ1,2-perturbed minimal models, relating them to graph state models with an underlying Birman-Wenzl-Murakami algebra. Using this approach many physical properties of the IRF amplitudes can be derived, as the phase shifts in the ultraviolet limit, crossing relations and a simple formulation of the bootstrap equations. These are used to calculate explicitly the S matrix elements of higher kinks, and to determine the breather spectrum of the ϕ1,2 perturbations of the unitary minimal models ℳr,r+1. Finally it is checked that the bootstrap closes on those particles.

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4

Cadamuro, Daniela, and Yoh Tanimoto. "Wedge-local observables for factorizing S-matrix with gap in the coupling constant." Reviews in Mathematical Physics 30, no. 04 (April 19, 2018): 1850010. http://dx.doi.org/10.1142/s0129055x18500101.

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In the bootstrap approach to integrable quantum field theories in the [Formula: see text]-dimensional Minkowski space, one conjectures the two-particle S-matrix and tries to study local observables. We find a family of two-particle S-matrices parametrized by two positive numbers, which are separated from the free field or any other known S-matrix. We propose candidates for observables in wedge-shaped regions and prove their commutativity in the weak sense. The sine-Gordon model is conjectured to be equivalent to the Thirring model, and its breather–breather S-matrix components (where the first breather corresponds to the scalar field of the sine-Gordon model) are closed under fusion. Yet, the residues of the poles in this breather–breather S-matrix have wrong signs and cannot be considered as a separate model. Our S-matrices differ from the breather–breather S-matrix in the sine-Gordon model by CDD factors which adjust the signs, so that this sector alone satisfies reasonable assumptions.

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SASAKI, RYU, and FREDDY PERMANA ZEN. "THE AFFINE TODA S-MATRICES vs PERTURBATION THEORY." International Journal of Modern Physics A 08, no. 01 (January 10, 1993): 115–34. http://dx.doi.org/10.1142/s0217751x93000059.

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We present perturbative calculations for the Affine Toda Field Theory (ATFT) S-matrices to the second order in the coupling constants for [Formula: see text] and [Formula: see text] in general, to the fourth order for [Formula: see text] theory as well as to the sixth order for [Formula: see text] theory. Conventional Feynman–Dyson calculation method and the dispersion approach are used to calculate the complete form of the perturbation amplitudes in contrast to the pole residues in previous papers. The results agree with those S-matrices obtained in the S-matrix approach, namely those based on analyticity, unitarity, crossing and bootstrap equation.

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6

Sauer, Lauren, Yuhlong Lio, and Tzong-Ru Tsai. "Reliability Inference for the Multicomponent System Based on Progressively Type II Censored Samples from Generalized Pareto Distributions." Mathematics 8, no. 7 (July 17, 2020): 1176. http://dx.doi.org/10.3390/math8071176.

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In this paper, the reliability of a k-component system, in which all components are subject to common stress, is considered. The multicomponent system will continue to survive if at least s out of k components’ strength exceed the common stress. The system reliability is investigated by utilizing the maximum likelihood estimator based on progressively type II censored samples from generalized Pareto distributions. The confidence interval of the system reliability can be obtained by using asymptotic normality with Fisher information matrix or bootstrap method approximation. An intensive simulation study is conducted to evaluate the performance of maximum likelihood estimators of the model parameters and system reliability for a variety of cases. For the confidence interval of the system reliability, simulation results indicate the bootstrap method approximation outperforms over the asymptotic normality approximation in terms of coverage probability.

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YOUNG, CATHERINE J. "Characterisation of the Australian Nacophorini using adult morphology, and phylogeny of the Geometridae based on morphological characters." Zootaxa 1736, no. 1 (March 31, 2008): 1. http://dx.doi.org/10.11646/zootaxa.1736.1.1.

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The Australian Nacophorini and related taxa are described using a matrix of 116 adult morphological characters. Adults of 72 species are illustrated using photographs and electron micrographs. Subsets of the characters are used to conduct a phylogenetic analysis based on cladistic principles. The adult morphological character set was augmented with 17 characters from eggs and 27 from larvae. The resulting phylogeny is poorly resolved but provides support for many of the relationships recovered by previous molecular analyses of the group, including basal derivations for characters of Larentiinae and Sterrhinae relative to those of the rest of Geometridae, and the monophyly of the Geometrinae + Oenochrominae s. str. Combining 28S D2 datawith morphological data produced a matrix of 60 taxa and 590 characters. The majority rule consensus tree produced by the combined morphological and 28S D2 data is almost identical to the majority rule consensus tree produced by the 28S D2 data alone, except that bootstrap support is lower for most nodes. Common clades obtained from the molecular and morphological trees are described in terms of morphological data. On this basis a concept of the Australian Nacophorini includes Lithinini and Australian Archiearinae. Two robust groups within the tribe also are delimited using characters from all data sources. Comparsions are made between the Nearctic and Neotropical Nacophorini on the basis of shared morphological characters. Australian Boarmiini are defined by synapomorphies.

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8

Kim, Byungsuk, Youngjoo Byun, and Eun Hee Lee. "DoE-Based Design of a Simple but Efficient Preparation Method for a Non-Effervescent Gastro-Retentive Floating Tablet Containing Metformin HCl." Pharmaceutics 13, no. 8 (August 8, 2021): 1225. http://dx.doi.org/10.3390/pharmaceutics13081225.

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A sustained-release non-effervescent floating matrix tablet was prepared using a simple and efficient direct compression of spray-dried granules containing metformin hydrochloride and cetyl alcohol with hydroxypropyl methylcellulose K15M (HPMC K15M). The design of experiments was employed to explore the optimal composition of the tablet. The similarity factor was employed to evaluate the equivalence in dissolution profiles between the test tablets and Glucophage XR as a reference. Bootstrap analysis was used to eliminate the formulations for which the dissolution profile was potentially inequivalent to that of the reference. The optimized tablet consisting of 150 mg of cetyl alcohol and 17% HPMC K15M showed a dissolution profile comparable with that of the reference with a similarity factor of 52.41, exhibited a floating lag time of less than 3 s in buffer media, remained floating for 24 h, and reduced the tablet weight by about 20% compared to that of the reference. The current study sheds light on the potential use of non-effervescent gastro-retentive extended-release tablets for high-dose drugs using a simple and efficient direct compression method, and as a potential alternative treatment for Glucophage XR. This study also highlights the importance of a systematic approach to formulation optimization and the evaluation of the dissolution profile.

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9

Freudenberg, J., H. Boriss, and D. Hasenclever. "Comparison of Preprocessing Procedures for Oligo-nucleotide Micro-arrays by Parametric Bootstrap Simulation of Spike-in Experiments." Methods of Information in Medicine 43, no. 05 (2004): 434–38. http://dx.doi.org/10.1055/s-0038-1633893.

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Summary Objective: Due to scarcity of calibration data for micro-array experiments, simulation methods are employed to assess preprocessing procedures. Here we analyze several procedures’ robustness against increasing numbers of differentially expressed genes and varying proportions of up-regulation. Methods: Raw probe data from oligo-nucleotide micro-arrays are assumed to be approximately multivariate normally distributed on the log scale. Chips can be simulated from a multivariate normal distribution with mean and variance-covariance matrix estimated from a real raw data set.A chip effect induces strong positive correlations. In reverse, sampling from a normal distribution with strong correlation variance-covariance matrix generates data exhibiting a chip effect. No explicit model of chip-effect is needed. Differences can be artificially spiked-in according to a given distribution of effect sizes.Thirty preprocessing procedures combining background correction, normalization, perfect match correction and summarization methods available from the BioConductor project were compared. Results: In the symmetrical setting “50% differentially expressed genes, 50% of which up-regulated” background correction reduces bias, but inflates low intensity probe variance as well as the mean squared error of the estimates. Any normalization reduces variance and increases sensitivity with no clear winner. Asymmetry between up and down regulation causes bias in the effect-size estimate of non-differentially expressed genes. This markedly inflates the false positive discovery rates. Variance stabilizing normalization (VSN) behaved best. Conclusion: A simple parametric bootstrap was used to simulate oligo-nucleotide micro-array raw data. Current normalization methods inflate the false positive rate when many genes show an effect in the same direction.

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Miró, Joan Elias, Andrea L. Guerrieri, Aditya Hebbar, João Penedones, and Pedro Vieira. "Flux Tube S -Matrix Bootstrap." Physical Review Letters 123, no. 22 (November 27, 2019). http://dx.doi.org/10.1103/physrevlett.123.221602.

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Books on the topic "S-Matrix Bootstrap"

1

F, Chew Geoffrey, DeTar Carleton, Finkelstein J, and Tan Chung-I, eds. A Passion for physics: Essays in honor of Geoffrey Chew : including an interview with Chew. Philadelphia: World Scientific, 1985.

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2

Baulieu, Laurent, John Iliopoulos, and Roland Sénéor. Analyticity Properties of Feynman Diagrams. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198788393.003.0020.

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General discussion of the analyticity properties of Feynman diagrams. Cutting rules and the Cutkosky unitarity relations. Unstable particles and second sheet singularities. Dispersion relations and the Mandelstam representation. The analytic S-matrix theory and the bootstrap hypothesis.

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3

Detar, Carleton, and J. Finkelstein. A Passion for Physics: Essays in Honor of Geoffrey Chew. World Scientific Pub Co Inc, 1986.

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4

Geoffrey Chew: Auge y decadencia de la democracia nuclear. Autoedición, 2014.

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Book chapters on the topic "S-Matrix Bootstrap"

1

Papa, A. "Fulfillment of the Strong Bootstrap Condition." In DIFFRACTION 2002: Interpretation of the New Diffractive Phenomena in Quantum Chromodynamics and in the S-Matrix Theory, 247–56. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-010-0177-9_23.

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Mussardo, Giuseppe. "S-matrix Theory." In Statistical Field Theory, 622–75. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198788102.003.0017.

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Chapter 17 discusses the S-matrix theory of two-dimensional integrable models. From a mathematical point of view, the two-dimensional nature of the systems and their integrability are the crucial features that lead to important simplifications of the formalism and its successful application. This chapter deals with the analytic theory of the S-matrix of the integrable models. A particular emphasis is put on the dynamical principle of bootstrap, which gives rise to a recursive structure of the amplitudes. It also covers several dynamical quantities, such as mass ratios or three-coupling constants, which have an elegant mathematic formulation that is also of easy geometrical interpretation.

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3

White, Alan. "Geoff Chew and the S-Matrix." In Geoffrey Chew: Architect of the Bootstrap, 69. WORLD SCIENTIFIC, 2021. http://dx.doi.org/10.1142/9789811219832_0011.

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Schwarz, John H. "From the S Matrix to String Theory." In Geoffrey Chew: Architect of the Bootstrap, 72–83. WORLD SCIENTIFIC, 2021. http://dx.doi.org/10.1142/9789811219832_0013.

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5

Frazer, William R. "The Analytic S Matrix and the Ideal Mentor." In Geoffrey Chew: Architect of the Bootstrap, 3–11. WORLD SCIENTIFIC, 2021. http://dx.doi.org/10.1142/9789811219832_0001.

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6

Rosenzweig, Carl. "Memories: Geoff Chew, S-matrix, Bootstraps and Dual Topology." In Geoffrey Chew: Architect of the Bootstrap, 64–68. WORLD SCIENTIFIC, 2021. http://dx.doi.org/10.1142/9789811219832_0010.

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7

Mussardo, Giuseppe. "Exact S-Matrices." In Statistical Field Theory, 676–743. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198788102.003.0018.

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The Ising model in a magnetic field is one of the most beautiful examples of an integrable model. This chapter presents its exact S-matrix and the exact spectrum of its excitations, which consist of eight particles of different masses. Similarly, it discusses the exact scattering theory behind the thermal deformation of the tricritical Ising model and the unusual features of the exact S-matrix of the non-unitary Yang–Lee model. Other examples are provided by O(n) invariant models, including the important Sine–Gordon model. It also discusses multiple poles, magnetic deformation, the E ₈ Toda theory, bootstrap fusion rules, non-relativistic limits and quantum group symmetry of the Sine–Gordon model.

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Zarembo, K. "Integrability in sigma-models." In Integrability: From Statistical Systems to Gauge Theory, 205–47. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198828150.003.0005.

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The following topics are covered in this chapter: (1) Homogeneous spaces, (2) Classical integrability of sigma-models in two dimensions, (3) Topological terms, (4) Background-field method and beta-function, (5) S-matrix bootstrap in the O(N) model, (6) Supersymmetric coset models and strings on AdS(d) x X.

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