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Author: Edoardo Lauria
Publisher: Springer
ISBN: 3030257304
Category : Science
Languages : en
Pages : 164
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Book Description
This thesis offers a fascinating journey through various non-perturbative aspects of Conformal Theories, in particular focusing on the Conformal Bootstrap Programme and its extensions to theories with various degrees of symmetry. Because of the preeminent role of Conformal Theories in Nature, as well as the great generality of the results here obtained, this analysis directly applies to many different areas of research. The content of this thesis is certainly relevant for the physics community as a whole and this relevance is well motivated and discussed along the various chapters of this work. The work is self-contained and starts with an original introduction to conformal theories, defects in such theories and how they lead to constraints on data and an extension of the bootstrap programme. This situation is often realized by critical systems with impurities, topological insulators, or – in the high-energy context – by Wilson and 't Hooft operators. The thesis continues with original research results of the author, including supersymmetric extensions. These results may be relevant non only in the high energy physics context - where supersymmetry is required for the theory to be consistent - but also for condensed matter systems that enjoy supersymmetry emergence at long distances.
Author: Edoardo Lauria
Publisher: Springer
ISBN: 3030257304
Category : Science
Languages : en
Pages : 164
Get Book Here
Book Description
This thesis offers a fascinating journey through various non-perturbative aspects of Conformal Theories, in particular focusing on the Conformal Bootstrap Programme and its extensions to theories with various degrees of symmetry. Because of the preeminent role of Conformal Theories in Nature, as well as the great generality of the results here obtained, this analysis directly applies to many different areas of research. The content of this thesis is certainly relevant for the physics community as a whole and this relevance is well motivated and discussed along the various chapters of this work. The work is self-contained and starts with an original introduction to conformal theories, defects in such theories and how they lead to constraints on data and an extension of the bootstrap programme. This situation is often realized by critical systems with impurities, topological insulators, or – in the high-energy context – by Wilson and 't Hooft operators. The thesis continues with original research results of the author, including supersymmetric extensions. These results may be relevant non only in the high energy physics context - where supersymmetry is required for the theory to be consistent - but also for condensed matter systems that enjoy supersymmetry emergence at long distances.
Author: Edoardo Lauria
Publisher:
ISBN: 9783030257316
Category : Conformal mapping
Languages : en
Pages : 173
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Book Description
This thesis offers a fascinating journey through various non-perturbative aspects of Conformal Theories, in particular focusing on the Conformal Bootstrap Programme and its extensions to theories with various degrees of symmetry. Because of the preeminent role of Conformal Theories in Nature, as well as the great generality of the results here obtained, this analysis directly applies to many different areas of research. The content of this thesis is certainly relevant for the physics community as a whole and this relevance is well motivated and discussed along the various chapters of this work. The work is self-contained and starts with an original introduction to conformal theories, defects in such theories and how they lead to constraints on data and an extension of the bootstrap programme. This situation is often realized by critical systems with impurities, topological insulators, or -in the high-energy context- by Wilson and 't Hooft operators. The thesis continues with original research results of the author, including supersymmetric extensions. These results may be relevant non only in the high energy physics context - where supersymmetry is required for the theory to be consistent - but also for condensed matter systems that enjoy supersymmetry emergence at long distances.
Author: Kim Christensen
Publisher: World Scientific Publishing Company
ISBN: 191129833X
Category : Science
Languages : en
Pages : 409
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Book Description
This book provides a challenging and stimulating introduction to the contemporary topics of complexity and criticality, and explores their common basis of scale invariance, a central unifying theme of the book. Criticality refers to the behaviour of extended systems at a phase transition where scale invariance prevails. The many constituent microscopic parts bring about macroscopic phenomena that cannot be understood by considering a single part alone. The phenomenology of phase transitions is introduced by considering percolation, a simple model with a purely geometrical phase transition, thus enabling the reader to become intuitively familiar with concepts such as scale invariance and renormalisation. The Ising model is then introduced, which captures a thermodynamic phase transition from a disordered to an ordered system as the temperature is lowered in zero external field. By emphasising analogies between percolation and the Ising model, the reader's intuition of phase transitions is developed so that the underlying theoretical formalism may be appreciated fully. These equilibrium systems undergo a phase transition only if an external agent finely tunes certain external parameters to particular values. Besides fractals and phase transitions, there are many examples in Nature of the emergence of such complex behaviour in slowly driven non-equilibrium systems: earthquakes in seismic systems, avalanches in granular media and rainfall in the atmosphere. A class of non-equilibrium systems, not constrained by having to tune external parameters to obtain critical behaviour, is addressed in the framework of simple models, revealing that the repeated application of simple rules may spontaneously give rise to emergent complex behaviour not encoded in the rules themselves. The common basis of complexity and criticality is identified and applied to a range of non-equilibrium systems. Finally, the reader is invited to speculate whether self-organisation in non-equilibrium systems might be a unifying concept for disparate fields such as statistical mechanics, geophysics and atmospheric physics. Visit http://www.complexityandcriticality.com for animations for the models in the book (available for Windows and Linux), solutions to exercises, as well as a list with corrections. Contents:Percolation:Percolating Phase TransitionPercolation in One DimensionPercolation on the Bethe LatticePercolation in Two DimensionsGeometric Properties of ClustersScaling Ansatz, Scaling Functions and Scaling RelationsFinite-Size ScalingUniversalityReal-Space Renormalisation GroupIsing Model:Review of Thermodynamics and Statistical MechanicsSymmetry BreakingFerromagnetic Phase TransitionIsing Model in One DimensionMean-Field Ising ModelIsing Model in Two DimensionsLandau Theory of Continuous Phase TransitionsScaling Ansatz, Scaling Functions and Scaling RelationsUniversalityReal-Space Renormalisation GroupSelf-Organised Criticality:Non-equilibrium steady state systemBTW Model in One DimensionMean-Field Theory of the BTW ModelBranching ProcessScaling Ansatz, Scaling Functions and Scaling RelationsBTW Model in Two DimensionsA Rice Pile Experiment and the Oslo ModelEarthquakes and the OFC ModelRainfallSelf-Organised Criticality as a Unifying Principle Readership: Students at all levels, researchers and instructors looking for an introduction to the ideas of complexity and criticality.
Author: Antonino Zichichi
Publisher: Springer Science & Business Media
ISBN: 1461308895
Category : Technology & Engineering
Languages : en
Pages : 611
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Book Description
From 5 to 15 August 1984, a group of 79 physicists from 61 laboratories in 26 countries met in Erice for the 22nd Course of the International School of Subnuclear Physics. The countries represented were Austria, Belgium, Brazil, Bulgaria, Canada, People's Republic of China, Denmark, the Federal Republic of Germany, France, Greece, Hungary, Iran, Israel, Italy, Japan, Korea, Malaysia, Mexico, the Netherlands, Pakistan, Poland, Sweden, Switzerland, Turkey, the United Kingdom, the United States of America. The School was sponsored by the Italian Ministry of Public Education (MPI), the Italian Ministry of Scientific and Technologi cal Research (MRST), the Regional Sicilian Government (ERS), and the Weizmann Institute of Science. The programme of the School was devoted to a review of the most significant results in theoretical and experimental research work on the interactions between what we believe today are the point like constituents of the world: quarks and leptons. It should however not be forgotten that many problems are still to be understood: especially in the forefront of the correla tion between quarks and leptons. This game started in 1966 with the proposal for "leptonic quarks" and went on with "preons" and "rishons" just to quote the most famous attempts to unify these two worlds.
Author: Akira Onuki
Publisher: Cambridge University Press
ISBN: 1139433164
Category : Science
Languages : en
Pages : 726
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Book Description
Phase Transition Dynamics, first published in 2002, provides a fully comprehensive treatment of the study of phase transitions. Building on the statistical mechanics of phase transitions, covered in many introductory textbooks, it will be essential reading for researchers and advanced graduate students in physics, chemistry, metallurgy and polymer science.
Author: Izuru Takewaki
Publisher: Frontiers Media SA
ISBN: 2889630722
Category :
Languages : en
Pages : 135
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Book Description
Resilient buildings and cities are in the center of common interests in modern academic communities for science and engineering related to built environment. Resilience of buildings and cities against multidisciplinary risks, e.g. earthquakes, strong winds, floods, etc., is strongly related to the sustainability of buildings and cities in which reduction of damage during a disaster and fast recovery from the damage are key issues. The reduction of damage is related to the level of resistance of buildings and the time of recovery is affected by the amount of supply of damaged members, assurance of restoration work, etc. Robustness, redundancy, resourcefulness, and rapidity are four key factors for supporting the full realization of design and construction of resilient buildings and cities. This research topic gathers cutting-edge and innovative research from various aspects, e.g. robustness of buildings and cities against earthquake risk, structural control and base-isolation for controlling damage risks, quantification of resilience measures, structural health monitoring, innovative structural engineering techniques for higher safety of buildings, resilience actions and tools at the urban scale, etc.
Author: Leila de Floriani
Publisher: Springer Science & Business Media
ISBN: 3540332650
Category : Mathematics
Languages : en
Pages : 305
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Book Description
With a lot of recent developments in the field, this much-needed book has come at just the right time. It covers a variety of topics related to preserving and enhancing shape information at a geometric level. The contributors also cover subjects that are relevant to effectively capturing the structure of a shape by identifying relevant shape components and their mutual relationships.
Author: Alexander Altland
Publisher: Cambridge University Press
ISBN: 1108786693
Category : Science
Languages : en
Pages : 826
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Book Description
Building on the success of prior editions, this graduate text provides a comprehensive introduction to core concepts and methods of quantum field theory in condensed matter. It covers modern advances, from condensation phenomena and superfluidity to gauge theory, non-equilibrium phenomena and topological quantum matter.
Author: Michael Baake
Publisher: World Scientific
ISBN: 9814501042
Category : Science
Languages : en
Pages : 311
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Book Description
This volume consists of a collection of recent research articles dedicated to Vladimir Rittenberg on the occasion of his 60th birthday. Various aspects of solvable models in different areas of theoretical and mathematical physics are covered. Particular topics include diffusion, self-organized criticality, classical and quantum spin chains, two-dimensional lattice models, quantum algebras, and conformal field theory. The list of contributing authors contains altogether 34 names, including among others, Baxter, Cardy, Itzykson, Martin, McCoy, Nahm, Pearce and de Vega.
Author:
Publisher:
ISBN:
Category : Physics
Languages : en
Pages : 1376
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Book Description
