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

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模仿

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

領(lǐng)先

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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