Lattice 91

Author : M. Fukugita,Y. Iwasaki,M. Okawa
Publisher : Elsevier
Page : 698 pages
File Size : 40,8 Mb
Release : 2016-06-03
Category : Science
ISBN : 9781483278056

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Lattice 91 by M. Fukugita,Y. Iwasaki,M. Okawa Pdf

Lattice 91 covers the proceedings of the International Symposium on Lattice Field Theory held in Tsukuba, Japan on 5-9 November 1991. The book focuses on quantum chromodynamics, Higgs-fermion theories, QED, lattice quantum gravity and random surfaces, spin systems related to field theory, simulation algorithms, and dedicated computers. The selection first offers information on the QCD spectrum and phase diagram on the lattice and QCD at finite density, including phase structure of QCD, Monte-Carlo simulations with dynamical fermions, and quenched approximation. The book then tackles weak matrix elements, simulation of heavy quarks, and sphaleron induced baryon number non-conservation. The text reviews quantum gravity and random surfaces, recent analytic progress in finite size effects, and parallel QCD machines. Discussions focus on two-dimensional quantum gravity, signatures of resonance in finite volume, first order transitions, and determination of the running coupling. The publication also ponders on hadronic forces from the lattice, universality of the confinement string in multiple potentials, and confinement and saddle-point configurations. The selection is highly recommended for readers interested in the lattice field theory.

Author : Vijay K. Garg
Publisher : John Wiley & Sons
Page : 272 pages
File Size : 43,5 Mb
Release : 2016-03-02
Category : Computers
ISBN : 9781119069737

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Introduction to Lattice Theory with Computer Science Applications by Vijay K. Garg Pdf

A computational perspective on partial order and lattice theory, focusing on algorithms and their applications This book provides a uniform treatment of the theory and applications of lattice theory. The applications covered include tracking dependency in distributed systems, combinatorics, detecting global predicates in distributed systems, set families, and integer partitions. The book presents algorithmic proofs of theorems whenever possible. These proofs are written in the calculational style advocated by Dijkstra, with arguments explicitly spelled out step by step. The author’s intent is for readers to learn not only the proofs, but the heuristics that guide said proofs. Introduction to Lattice Theory with Computer Science Applications: Examines; posets, Dilworth’s theorem, merging algorithms, lattices, lattice completion, morphisms, modular and distributive lattices, slicing, interval orders, tractable posets, lattice enumeration algorithms, and dimension theory Provides end of chapter exercises to help readers retain newfound knowledge on each subject Includes supplementary material at www.ece.utexas.edu/~garg Introduction to Lattice Theory with Computer Science Applications is written for students of computer science, as well as practicing mathematicians.

Author : George Grätzer
Publisher : Springer Science & Business Media
Page : 639 pages
File Size : 43,7 Mb
Release : 2011-02-14
Category : Mathematics
ISBN : 9783034800181

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Lattice Theory: Foundation by George Grätzer Pdf

This book started with Lattice Theory, First Concepts, in 1971. Then came General Lattice Theory, First Edition, in 1978, and the Second Edition twenty years later. Since the publication of the first edition in 1978, General Lattice Theory has become the authoritative introduction to lattice theory for graduate students and the standard reference for researchers. The First Edition set out to introduce and survey lattice theory. Some 12,000 papers have been published in the field since then; so Lattice Theory: Foundation focuses on introducing the field, laying the foundation for special topics and applications. Lattice Theory: Foundation, based on the previous three books, covers the fundamental concepts and results. The main topics are distributivity, congruences, constructions, modularity and semimodularity, varieties, and free products. The chapter on constructions is new, all the other chapters are revised and expanded versions from the earlier volumes. Almost 40 “diamond sections’’, many written by leading specialists in these fields, provide a brief glimpse into special topics beyond the basics. “Lattice theory has come a long way... For those who appreciate lattice theory, or who are curious about its techniques and intriguing internal problems, Professor Grätzer's lucid new book provides a most valuable guide to many recent developments. Even a cursory reading should provide those few who may still believe that lattice theory is superficial or naive, with convincing evidence of its technical depth and sophistication.” Bulletin of the American Mathematical Society “Grätzer’s book General Lattice Theory has become the lattice theorist’s bible.” Mathematical Reviews

Author : George Gratzer
Publisher : Courier Corporation
Page : 242 pages
File Size : 48,6 Mb
Release : 2009-01-01
Category : Mathematics
ISBN : 9780486471730

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Lattice Theory by George Gratzer Pdf

This outstanding text is written in clear language and enhanced with many exercises, diagrams, and proofs. It discusses historical developments and future directions and provides an extensive bibliography and references. 1971 edition.

Author : Sergiu Rudeanu
Publisher : Springer Science & Business Media
Page : 452 pages
File Size : 47,6 Mb
Release : 2001-07-30
Category : Mathematics
ISBN : 1852332662

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Lattice Functions and Equations by Sergiu Rudeanu Pdf

One of the chief aims of this self-contained monograph is to survey recent developments of Boolean functions and equations, as well as lattice functions and equations in more general classes of lattices. Lattice (Boolean) functions are algebraic functions defined over an arbitrary lattice (Boolean algebra), while lattice (Boolean) equations are equations expressed in terms of lattice (Boolean) functions. Special attention is also paid to consistency conditions and reproductive general solutions. Applications refer to graph theory, automata theory, synthesis of circuits, fault detection, databases, marketing and others. Lattice Functions and Equations updates and extends the author's previous monograph - Boolean Functions and Equations.

Author : Anonim
Publisher : Unknown
Page : 992 pages
File Size : 55,7 Mb
Release : 1993
Category : Field theory (Physics)
ISBN : UVA:X002238101

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Lattice ... by Anonim Pdf

Author : George Grätzer,Friedrich Wehrung
Publisher : Springer
Page : 472 pages
File Size : 44,9 Mb
Release : 2014-08-27
Category : Mathematics
ISBN : 9783319064130

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Lattice Theory: Special Topics and Applications by George Grätzer,Friedrich Wehrung Pdf

George Grätzer's Lattice Theory: Foundation is his third book on lattice theory (General Lattice Theory, 1978, second edition, 1998). In 2009, Grätzer considered updating the second edition to reflect some exciting and deep developments. He soon realized that to lay the foundation, to survey the contemporary field, to pose research problems, would require more than one volume and more than one person. So Lattice Theory: Foundation provided the foundation. Now we complete this project with Lattice Theory: Special Topics and Applications, written by a distinguished group of experts, to cover some of the vast areas not in Foundation. This first volume is divided into three parts. Part I. Topology and Lattices includes two chapters by Klaus Keimel, Jimmie Lawson and Ales Pultr, Jiri Sichler. Part II. Special Classes of Finite Lattices comprises four chapters by Gabor Czedli, George Grätzer and Joseph P. S. Kung. Part III. Congruence Lattices of Infinite Lattices and Beyond includes four chapters by Friedrich Wehrung and George Grätzer.

Author : Jan Smit,Pierre Baal
Publisher : Unknown
Page : 996 pages
File Size : 50,7 Mb
Release : 1993
Category : Gauge fields (Physics)
ISBN : OSU:32435032135055

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Lattice 92 by Jan Smit,Pierre Baal Pdf

Author : Sharpe Stephen R
Publisher : World Scientific
Page : 340 pages
File Size : 47,8 Mb
Release : 1995-12-21
Category : Electronic
ISBN : 9789814549387

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Phenomenology And Lattice Qcd - Proceedings Of The 1993 Uehling Summer School by Sharpe Stephen R Pdf

These six lecture courses provide the background necessary in the understanding of the application of lattice methods to phenomenology, and give examples of interesting applications. The first three introduce the necessary techniques: chiral perturbation theory, heavy quark effective field theory, and lattice gauge theory. The remaining three describe how these techniques are used, mainly in lattice simulations, in the study of interesting phenomenological questions: vacuum structure, finite temperature QCD, and electroweak matrix elements. What distinguishes this volume from others is its focus on providing the background necessary for us to understand the methods and the significance of lattice gauge theory research.

Author : Thomas DeGrand,Carleton DeTar
Publisher : World Scientific
Page : 363 pages
File Size : 53,7 Mb
Release : 2006
Category : Science
ISBN : 9789812567277

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Lattice Methods for Quantum Chromodynamics by Thomas DeGrand,Carleton DeTar Pdf

At a time of robust worldwide debates on globalization, this compact volume shows: how successful each of the East Asian economies have been in harnessing globalization by appropriate and alternative means to catch up with the advanced economies; and what implications can be drawn to assess Chinese economic growth in context. The essays in this book include supporting notes to review effectively the highlights of the development of East Asia, over the six decades after World War II: why the region has performed so well economically relative to the rest of the developing world; which are the most challenging limitations to be addressed; and several sensational controversies in the development economics literature to be sensibly resolved.

Author : Gary D. Doolen
Publisher : MIT Press
Page : 356 pages
File Size : 48,8 Mb
Release : 1991
Category : Mathematics
ISBN : 0262540630

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Lattice Gas Methods by Gary D. Doolen Pdf

This volume focuses on progress in applying the lattice gas approach to partial differential equations that arise in simulating the flow of fluids.Lattice gas methods are new parallel, high-resolution, high-efficiency techniques for solving partial differential equations. This volume focuses on progress in applying the lattice gas approach to partial differential equations that arise in simulating the flow of fluids. It introduces the lattice Boltzmann equation, a new direction in lattice gas research that considerably reduces fluctuations.The twenty-seven contributions explore the many available software options exploiting the fact that lattice gas methods are completely parallel, which produces significant gains in speed. Following an overview of work done in the past five years and a discussion of frontiers, the chapters describe viscosity modeling and hydrodynamic mode analyses, multiphase flows and porous media, reactions and diffusion, basic relations and long-time correlations, the lattice Boltzmann equation, computer hardware, and lattice gas applications.Gary D. Doolen is Acting Director of the Center for Nonlinear Studies at Los Alamos National Laboratory.

Author : Ryosuke Yanagihara
Publisher : Springer Nature
Page : 170 pages
File Size : 51,6 Mb
Release : 2021-10-22
Category : Science
ISBN : 9789811662348

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Distribution of Energy Momentum Tensor around Static Charges in Lattice Simulations and an Effective Model by Ryosuke Yanagihara Pdf

The energy momentum tensor (EMT) is one of the most fundamental observables in physics. Recently, a novel method to define EMT on the basis of the gradient-flow formalism has been proposed. It turned out that the EMT operator can be constructed even on the lattice with the method, which enables non-perturbative computations. This approach has been successfully applied to the analyses on thermodynamic quantities. This book presents the study on spatial EMT distributions around static charges via the gradient flow in lattice simulations based on SU(3) Yang-Mills theory. Static charges are employed as probes to explore complex quantum systems, and EMT then characterizes the response of vacuum as well as hot medium under the existence of the charges, which significantly provides profound and novel insights into the non-perturbative phenomena, such as the confinement of quarks. In addition, the book treats the study on the EMT distribution around a magnetic vortex in the Abelian-Higgs model, which is compared with the lattice result. These achievements open up various future studies for revealing non-trivial aspects of the strong interaction. The book also includes well-organized reviews on general properties of EMT, lattice gauge theory and the gradient-flow formalism with its application to the definition of EMT. They are useful for students and young researchers as a brief introduction to this field.

Author : Huey-Wen Lin,Harvey B. Meyer
Publisher : Springer
Page : 244 pages
File Size : 45,5 Mb
Release : 2014-11-21
Category : Science
ISBN : 9783319080222

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Lattice QCD for Nuclear Physics by Huey-Wen Lin,Harvey B. Meyer Pdf

With ever increasing computational resources and improvements in algorithms, new opportunities are emerging for lattice gauge theory to address key questions in strongly interacting systems, such as nuclear matter. Calculations today use dynamical gauge-field ensembles with degenerate light up/down quarks and the strange quark and it is possible now to consider including charm-quark degrees of freedom in the QCD vacuum. Pion masses and other sources of systematic error, such as finite-volume and discretization effects, are beginning to be quantified systematically. Altogether, an era of precision calculation has begun and many new observables will be calculated at the new computational facilities. The aim of this set of lectures is to provide graduate students with a grounding in the application of lattice gauge theory methods to strongly interacting systems and in particular to nuclear physics. A wide variety of topics are covered, including continuum field theory, lattice discretizations, hadron spectroscopy and structure, many-body systems, together with more topical lectures in nuclear physics aimed a providing a broad phenomenological background. Exercises to encourage hands-on experience with parallel computing and data analysis are included.

Author : Thomas Donnellan
Publisher : Elsevier
Page : 297 pages
File Size : 54,5 Mb
Release : 2014-05-16
Category : Mathematics
ISBN : 9781483147499

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Lattice Theory by Thomas Donnellan Pdf

Lattice Theory presents an elementary account of a significant branch of contemporary mathematics concerning lattice theory. This book discusses the unusual features, which include the presentation and exploitation of partitions of a finite set. Organized into six chapters, this book begins with an overview of the concept of several topics, including sets in general, the relations and operations, the relation of equivalence, and the relation of congruence. This text then defines the relation of partial order and then partially ordered sets, including chains. Other chapters examine the properties of meet and join and explain dimensional considerations. This book discusses as well certain relations between individual elements of a lattice, between subsets of a lattice, and between lattices themselves. The final chapter deals with distributive lattices and explores the complements in distributive lattices. This book is a valuable resource for college and university students of mathematics, logic, and such technologies as communications engineering.

Author : Geoffrey R. Grimmett
Publisher : Springer Science & Business Media
Page : 459 pages
File Size : 45,5 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9783662039816

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Percolation by Geoffrey R. Grimmett Pdf

Percolation theory is the study of an idealized random medium in two or more dimensions. The emphasis of this book is upon core mathematical material and the presentation of the shortest and most accessible proofs. Much new material appears in this second edition including dynamic and static renormalization, strict inequalities between critical points, a sketch of the lace expansion, and several essays on related fields and applications.