Field Theoretical Tools For Polymer And Particle Physics
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| Author | : Hildegard Meyer-Ortmanns |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 286 |
| Release | : 1998-03-18 |
| Genre | : Mathematics |
| ISBN | : 9783540643081 |
The book is written for advanced graduate students. The topics have been selected to present methods and models that have applications in both particle physics and polymer physics. The lectures may serve as a guide through more recent research activities and illustrate the applicability of joint methods in different contexts. The book deals with analytic tools (e.g. random walk models, polymer expansion), numerical tools (e.g. Langevin dynamics), and common models (the three-dimensional Gross-Neveu-Model).
| Author | : Hildegard Meyer-ortmanns |
| Publisher | : World Scientific |
| Total Pages | : 702 |
| Release | : 2006-12-06 |
| Genre | : Science |
| ISBN | : 9814496278 |
The phase structure of particle physics shows up in matter at extremely high densities and/or temperatures as they were reached in the early universe, shortly after the big bang, or in heavy-ion collisions, as they are performed nowadays in laboratory experiments. In contrast to phase transitions of condensed matter physics, the underlying fundamental theories are better known than their macroscopic manifestations in phase transitions. These theories are quantum chromodynamics for the strong interaction part and the electroweak part of the Standard Model for the electroweak interaction. It is their non-Abelian gauge structure that makes it a big challenge to predict the type of phase conversion between phases of different symmetries and different particle contents. The book is about a variety of analytical and numerical tools that are needed to study the phase structure of particle physics. To these belong convergent and asymptotic expansions in strong and weak couplings, dimensional reduction, renormalization group studies, gap equations, Monte Carlo simulations with and without fermions, finite-size and finite-mass scaling analyses, and the approach of effective actions as supplement to first-principle calculations.
| Author | : Wojciech De Roeck |
| Publisher | : Oxford University Press |
| Total Pages | : 720 |
| Release | : 2012-05-24 |
| Genre | : Science |
| ISBN | : 019965249X |
This book collects lecture courses and seminars given at the Les Houches Summer School 2010 on "Quantum Theory: From Small to Large Scales". It reviews the state-of-the-art developments in this field by touching on different research topics from an interdisciplinary perspective.
| Author | : Jörg C. Lemm |
| Publisher | : JHU Press |
| Total Pages | : 432 |
| Release | : 2003-07-08 |
| Genre | : Science |
| ISBN | : 0801877970 |
Ask a traditional mathematician the likely outcome of a coin-toss, and he will reply that no evidence exists on which to base such a prediction. Ask a Bayesian, and he will examine the coin, conclude that it was probably not tampered with, and predict five hundred heads in a thousand tosses; a subsequent experiment would then be used to refine this prediction. The Bayesian approach, in other words, permits the use of prior knowledge when testing a hypothesis. Long the province of mathematicians and statisticians, Bayesian methods are applied in this ground-breaking book to problems in cutting-edge physics. Joerg Lemm offers practical examples of Bayesian analysis for the physicist working in such areas as neural networks, artificial intelligence, and inverse problems in quantum theory. The book also includes nonparametric density estimation problems, including, as special cases, nonparametric regression and pattern recognition. Thought-provoking and sure to be controversial, Bayesian Field Theory will be of interest to physicists as well as to other specialists in the rapidly growing number of fields that make use of Bayesian methods.
| Author | : |
| Publisher | : |
| Total Pages | : 824 |
| Release | : 2003 |
| Genre | : Mathematics |
| ISBN | : |
| Author | : D. Reguera |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 348 |
| Release | : 1999-10-19 |
| Genre | : Science |
| ISBN | : 9783540662457 |
This book demonstrates the usefulness of tools from statistical mechanics for biology. It includes the new tendencies in topics like membranes, vesicles, microtubules, molecular motors, DNA, protein folding, phase transitions in biological systems, evolution, population dynamics, neural systems and biological oscillators, with special emphasis on the importance of statistical mechanics in their development. The book addresses researchers and graduate students.
| Author | : Erik H D'hollander |
| Publisher | : World Scientific |
| Total Pages | : 788 |
| Release | : 2000-05-31 |
| Genre | : Computers |
| ISBN | : 1783261684 |
This millennium will see the increased use of parallel computing technologies at all levels of mainstream computing. Most computer hardware will use these technologies to achieve higher computing speeds, high speed access to very large distributed databases and greater flexibility through heterogeneous computing. These developments can be expected to result in the extended use of all types of parallel computers in virtually all areas of human endeavour. Compute-intensive problems in emerging areas such as financial modelling and multimedia systems, in addition to traditional application areas of parallel computing such as scientific computing and simulation, will stimulate the developments. Parallel computing as a field of scientific research and development will move from a niche concentrating on solving compute-intensive scientific and engineering problems to become one of the fundamental computing technologies.This book gives a retrospective view of what has been achieved in the parallel computing field during the past three decades, as well as a prospective view of expected future developments./a
| Author | : Peter Grassberger |
| Publisher | : World Scientific |
| Total Pages | : 346 |
| Release | : 1998-11-06 |
| Genre | : Science |
| ISBN | : 9814544272 |
Information on our detailed genetic code is increasing at a dramatic pace. We need to understand how that is translated into the three-dimensional structure of proteins in order to make use of the information. Progress in this field is hampered by the lack of precise force fields and of efficient codes for finding equilibrium configurations of heteropolymers. However, there has been rapid advance in recent years, and this volume discusses that.
| Author | : Paul Weingartner |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 396 |
| Release | : 2004-01-22 |
| Genre | : Computers |
| ISBN | : 9783540407447 |
Initially proposed as rivals of classical logic, alternative logics have become increasingly important in sciences such as quantum physics, computer science, and artificial intelligence. The contributions collected in this volume address and explore the question whether the usage of logic in the sciences, especially in modern physics, requires a deviation from classical mathematical logic. The articles in the first part of the book set the scene by describing the context and the dilemma when applying logic in science. In part II the authors offer several logics that deviate in different ways from classical logics. The twelve papers in part III investigate in detail specific aspects such as quantum logic, quantum computation, computer-science considerations, praxic logic, and quantum probability. Most of the contributions are revised and partially extended versions of papers presented at a conference of the same title of the Académie Internationale de Philosophie des Sciences held at the Internationales Forschungszentrum Salzburg in May 1999. Others have been added to complete the picture of recent research in alternative logics as they have been developed for applications in the sciences.
| Author | : Andreas Frommer |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 197 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3642583334 |
Lattice gauge theory is a fairly young research area in Theoretical Particle Physics. It is of great promise as it offers the framework for an ab-initio treatment of the nonperturbative features of strong interactions. Ever since its adolescence the simulation of quantum chromodynamics has attracted the interest of numerical analysts and there is growing interdisciplinary engage ment between theoretical physicists and applied mathematicians to meet the grand challenges of this approach. This volume contains contributions of the interdisciplinary workshop "Nu merical Challenges in Lattice Quantum Chromo dynamics" that the Institute of Applied Computer Science (IAI) at Wuppertal University together with the Von-Neumann-Institute-for-Computing (NIC) organized in August 1999. The purpose of the workshop was to offer a platform for the exchange of key ideas between lattice QCD and numerical analysis communities. In this spirit leading experts from both fields have put emphasis to transcend the barriers between the disciplines. The meetings was focused on the following numerical bottleneck problems: A standard topic from the infancy of lattice QCD is the computation of Green's functions, the inverse of the Dirac operator. One has to solve huge sparse linear systems in the limit of small quark masses, corresponding to high condition numbers of the Dirac matrix. Closely related is the determination of flavor-singlet observables which came into focus during the last years.
