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How to calculate the elastic scattering matrix in two-dimensional quantum field theories by numerical simulation
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TLDR
In this paper, a method to calculate the elastic scattering amplitude at low energies in two-dimensional quantum field theories is proposed and tested in a numerical simulation of the O(3) non-linear σ-model on a simple square lattice.About:
This article is published in Nuclear Physics.The article was published on 1990-07-23. It has received 651 citations till now. The article focuses on the topics: S-matrix & Scattering theory.read more
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Critical phenomena and renormalization-group theory
Andrea Pelissetto,Ettore Vicari +1 more
TL;DR: In this paper, the critical behavior of spin systems at equilibrium is studied in three and two dimensions, and the results in three-dimensional space are presented in particular for the six-loop perturbative series for the β -functions.
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Two-particle states on a torus and their relation to the scattering matrix
TL;DR: In this paper, the energy spectrum of a system of two particles enclosed in a box with periodic boundary conditions is determined by the scattering phases at these energies, and exact exact formulae are derived which can be used to compute the energy levels given the scattering phase.
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A new way to set the energy scale in lattice gauge theories and its application to the static force and σs in SU (2) Yang-Mills theory
TL;DR: In this article, the authors introduced a hadronic scale R0 through the force F(r) between static quarks at intermediate distances r. Since R0 is well defined and can be calculated accurately in a Monte Carlo simulation, it is an ideal quantity to set the scale.
Journal ArticleDOI
FLAG Review 2019
Sinya Aoki,Yasumichi Aoki,Yasumichi Aoki,Damir Becirevic,Tom Blum,Tom Blum,Gilberto Colangelo,Sara Collins,M. Della Morte,Petros Dimopoulos,Stephan Dürr,Stephan Dürr,Hidenori Fukaya,Maarten Golterman,Steven Gottlieb,Rajan Gupta,Shoji Hashimoto,Shoji Hashimoto,Urs M. Heller,Gregorio Herdoiza,Roger Horsley,Andreas Jüttner,T. Kaneko,T. Kaneko,C.-J. D. Lin,C.-J. D. Lin,E. Lunghi,Robert D. Mawhinney,Amy Nicholson,Tetsuya Onogi,Carlos Pena,Antonin Portelli,Alberto Ramos,Stephen R. Sharpe,James N. Simone,Silvano Simula,Rainer Sommer,R. S. Van de Water,Anastassios Vladikas,Urs Wenger,H. Wittig +40 more
TL;DR: In this article, a review of lattice results related to pion, kaon, D-meson, neutral kaon mixing, B-meon, and nucleon physics with the aim of making them easily accessible to the nuclear and particle physics communities is presented.
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Multiquark Resonances
TL;DR: In this article, the authors review the theoretical understanding of this sector of particle physics phenomenology and present some considerations attempting a coherent description of the so called X and Z resonances.
References
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Nonuniversal critical dynamics in Monte Carlo simulations
TL;DR: A new approach to Monte Carlo simulations is presented, giving a highly efficient method of simulation for large systems near criticality, despite the fact that the algorithm violates dynamic universality at second-order phase transitions.
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Collective Monte Carlo updating for spin systems.
TL;DR: A Monte Carlo algorithm is presented that updates large clusters of spins simultaneously in systems at and near criticality and its efficiency is demonstrated in the two-dimensional $\mathrm{O}(n)$ $\ensuremath{\sigma}$ models.
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Volume dependence of the energy spectrum in massive quantum field theories. II. Scattering states
TL;DR: The low-lying energy values associated to energy eigenstates describing two stable particles enclosed in a (space-like) box of sizeL are shown to be expandable in an asymptotic power series of 1/L as mentioned in this paper.
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Volume dependence of the energy spectrum in massive quantum field theories. I. Stable particle states
TL;DR: In this paper, a detailed proof of this basic relation is given for all orders of perturbation theory in arbitrary massive quantum field theories, which follows from an apparently universal asymptotic formula, which relates Δm to certain forward elastic scattering amplitudes.
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Continuum limit and improved action in lattice theories
TL;DR: In this paper, the φ4 theory can be reduced systematically by use of lattice actions that also include suitable irrelevant terms, and the principles of such constructions are described in detail.