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Titlebook: Conformal Invariance: an Introduction to Loops, Interfaces and Stochastic Loewner Evolution; Malte Henkel,Dragi Karevski Book 2012 Springe

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发表于 2025-3-21 19:22:27 | 显示全部楼层 |阅读模式
书目名称Conformal Invariance: an Introduction to Loops, Interfaces and Stochastic Loewner Evolution
编辑Malte Henkel,Dragi Karevski
视频video
概述Edited and authored by leading experts in the field.Reviews applications of contemporary interest.Provides a tutorial introduction to the newcomer.Includes supplementary material:
丛书名称Lecture Notes in Physics
图书封面Titlebook: Conformal Invariance: an Introduction to Loops, Interfaces and Stochastic Loewner Evolution;  Malte Henkel,Dragi Karevski Book 2012 Springe
描述.Conformal invariance has been a spectacularly successful tool in advancing our understanding of the two-dimensional phase transitions found in classical systems at equilibrium. This volume sharpens our picture of the applications of conformal invariance, introducing non-local observables such as loops and interfaces before explaining how they arise in specific physical contexts. It then shows how to use conformal invariance to determine their properties.. .Moving on to cover key conceptual developments in conformal invariance, the book devotes much of its space to stochastic Loewner evolution (SLE), detailing SLE’s conceptual foundations as well as extensive numerical tests. The chapters then elucidate SLE’s use in geometric phase transitions such as percolation or polymer systems, paying particular attention to surface effects. As clear and accessible as it is authoritative, this publication is as suitable for non-specialist readers and graduate students alike..
出版日期Book 2012
关键词Schramm-Loewner Evolution (SLE); boundary CFT; boundary conformal theory; conformal field theory; confor
版次1
doihttps://doi.org/10.1007/978-3-642-27934-8
isbn_softcover978-3-642-27933-1
isbn_ebook978-3-642-27934-8Series ISSN 0075-8450 Series E-ISSN 1616-6361
issn_series 0075-8450
copyrightSpringer-Verlag Berlin Heidelberg 2012
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发表于 2025-3-21 22:05:33 | 显示全部楼层
A Short Introduction to Critical Interfaces in 2,,ships to Conformal Field Theories (CFT). These concepts have played an important role in physics and mathematics during the recent years. The first section describes two discrete examples, the exploration process and loop-erased random walks. It can be read almost without any prerequisites. The aim
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Numerical Tests of Schramm-Loewner Evolution in Random Lattice Spin Models,t-ranged interactions, it can be shown, even rigorously in some cases, that the assumptions behind SLE (Domain Markov property and conformal invariance) hold true. However, this is not the case for random systems. In recent years, numerical simulations gave some evidences of a possible description o
发表于 2025-3-22 05:13:59 | 显示全部楼层
Loop Models and Boundary CFT, tools. Both are equivalent to models of oriented loops, which act as level lines of a height model. The height model can be treated via a geometrical Coulomb gas construction, giving access to exact bulk and boundary properties. We detail the derivation of critical exponents and relate their physic
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Conformal Invariance: an Introduction to Loops, Interfaces and Stochastic Loewner Evolution
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https://doi.org/10.1007/978-3-030-05045-0he explicit calculation of two-point functions will be given. The free boson will be used as a paradigmatic illustration and we shall close with an outline of surface critical phenomena and their description in terms of boundary conformal field-theory.
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