Non-perturbative Renormalization

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Release : 2008
Genre : Science
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Book Rating : 392/5 ( reviews)

Non-perturbative Renormalization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-perturbative Renormalization write by Vieri Mastropietro. This book was released on 2008. Non-perturbative Renormalization available in PDF, EPUB and Kindle. The notion of renormalization is at the core of several spectacular achievements of contemporary physics, and in the last years powerful techniques have been developed allowing to put renormalization on a firm mathematical basis. This book provides a self-consistent and accessible introduction to the sophisticated tools used in the modern theory of non-perturbative renormalization, allowing an unified and rigorous treatment of Quantum Field Theory, Statistical Physics and Condensed Matter models. In particular the first part of this book is devoted to Constructive Quantum Field Theory, providing a mathematical construction of models at low dimensions and discussing the removal of the ultraviolet and infrared cut-off, the verification of the axioms and the validity of Ward Identities with the relative anomalies. The second part is devoted to lattice 2D Statistical Physics, analyzing in particular the theory of universality in perturbed Ising models and the computation of the non-universal critical indices in Vertex or Ashkin-Teller models. Finally the third part is devoted to the analysis of complex quantum fluids showing Luttinger of Fermi liquid behavior, like the 1D or 2D Hubbard model.

Non-perturbative Renormalization

Download Non-perturbative Renormalization PDF Online Free

Author :
Release : 2008-03-04
Genre : Science
Kind :
Book Rating : 78X/5 ( reviews)

Non-perturbative Renormalization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-perturbative Renormalization write by Vieri Mastropietro. This book was released on 2008-03-04. Non-perturbative Renormalization available in PDF, EPUB and Kindle. The notion of renormalization is at the core of several spectacular achievements of contemporary physics, and in the last years powerful techniques have been developed allowing to put renormalization on a firm mathematical basis. This book provides a self-consistent and accessible introduction to the sophisticated tools used in the modern theory of non-perturbative renormalization, allowing an unified and rigorous treatment of Quantum Field Theory, Statistical Physics and Condensed Matter models. In particular the first part of this book is devoted to Constructive Quantum Field Theory, providing a mathematical construction of models at low dimensions and discussing the removal of the ultraviolet and infrared cut-off, the verification of the axioms and the validity of Ward Identities with the relative anomalies. The second part is devoted to lattice 2D Statistical Physics, analyzing in particular the theory of universality in perturbed Ising models and the computation of the non-universal critical indices in Vertex or Ashkin-Teller models. Finally the third part is devoted to the analysis of complex quantum fluids showing Luttinger of Fermi liquid behavior, like the 1D or 2D Hubbard model.

Non-perturbative Renormalization

Download Non-perturbative Renormalization PDF Online Free

Author :
Release : 2008
Genre : Science
Kind :
Book Rating : 406/5 ( reviews)

Non-perturbative Renormalization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-perturbative Renormalization write by Vieri Mastropietro. This book was released on 2008. Non-perturbative Renormalization available in PDF, EPUB and Kindle. Differential-algebraic equations (DAEs) provide an essential tool for system modeling and analysis within different fields of applied sciences and engineering. This book addresses modeling issues and analytical properties of DAEs, together with some applications in electrical circuit theory. Beginning with elementary aspects, the author succeeds in providing a self-contained and comprehensive presentation of several advanced topics in DAE theory, such as the full characterization of linear time-varying equations via projector methods or the geometric reduction of nonlinear systems. Recent results on singularities are extensively discussed. The book also addresses in detail differential-algebraic models of electrical and electronic circuits, including index characterizations and qualitative aspects of circuit dynamics. In particular, the reader will find a thorough discussion of the state/semistate dichotomy in circuit modeling. The state formulation problem, which has attracted much attention in the engineering literature, is cleverly tackled here as a reduction problem on semistate models.

Renormalization Group and Effective Field Theory Approaches to Many-Body Systems

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Release : 2012-06-25
Genre : Science
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Book Rating : 203/5 ( reviews)

Renormalization Group and Effective Field Theory Approaches to Many-Body Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Renormalization Group and Effective Field Theory Approaches to Many-Body Systems write by Achim Schwenk. This book was released on 2012-06-25. Renormalization Group and Effective Field Theory Approaches to Many-Body Systems available in PDF, EPUB and Kindle. There have been many recent and important developments based on effective field theory and the renormalization group in atomic, condensed matter, nuclear and high-energy physics. These powerful and versatile methods provide novel approaches to study complex and strongly interacting many-body systems in a controlled manner. The six extensive lectures gathered in this volume combine selected introductory and interdisciplinary presentations focused on recent applications of effective field theory and the renormalization group to many-body problems in such diverse fields as BEC, DFT, extreme matter, Fermi-liquid theory and gauge theories. Primarily aimed at graduate students and junior researchers, they offer an opportunity to explore fundamental physics across subfield boundaries at an early stage in their careers.

Non-perturbative Renormalization on the Lattice

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Release : 2014
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Non-perturbative Renormalization on the Lattice - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-perturbative Renormalization on the Lattice write by Daniel Körner. This book was released on 2014. Non-perturbative Renormalization on the Lattice available in PDF, EPUB and Kindle.