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Progress in Group Field Theory and Related Quantum Gravity Formalisms

2020-07-01 Mathematics
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Release : 2020-07-01
Genre : Mathematics
Kind : eBook
Book Rating : 783/5 ( reviews)

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Book Synopsis Progress in Group Field Theory and Related Quantum Gravity Formalisms by : Steffen Gielen

Download or read book Progress in Group Field Theory and Related Quantum Gravity Formalisms written by Steffen Gielen. This book was released on 2020-07-01. Available in PDF, EPUB and Kindle. Book excerpt: Following the fundamental insights from quantum mechanics and general relativity, geometry itself should have a quantum description; the search for a complete understanding of this description is what drives the field of quantum gravity. Group field theory is an ambitious framework in which theories of quantum geometry are formulated, incorporating successful ideas from the fields of matrix models, ten-sor models, spin foam models and loop quantum gravity, as well as from the broader areas of quantum field theory and mathematical physics. This special issue collects recent work in group field theory and these related approaches, as well as other neighbouring fields (e.g., cosmology, quantum information and quantum foundations, statistical physics) to the extent that these are directly relevant to quantum gravity research.

Progress in Group Field Theory and Related Quantum Gravity Formalisms

2020
Download Progress in Group Field Theory and Related Quantum Gravity Formalisms PDF Online Free

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Release : 2020
Genre :
Kind : eBook
Book Rating : 793/5 ( reviews)

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Book Synopsis Progress in Group Field Theory and Related Quantum Gravity Formalisms by : Steffen Gielen

Download or read book Progress in Group Field Theory and Related Quantum Gravity Formalisms written by Steffen Gielen. This book was released on 2020. Available in PDF, EPUB and Kindle. Book excerpt: Following the fundamental insights from quantum mechanics and general relativity, geometry itself should have a quantum description; the search for a complete understanding of this description is what drives the field of quantum gravity. Group field theory is an ambitious framework in which theories of quantum geometry are formulated, incorporating successful ideas from the fields of matrix models, ten-sor models, spin foam models and loop quantum gravity, as well as from the broader areas of quantum field theory and mathematical physics. This special issue collects recent work in group field theory and these related approaches, as well as other neighbouring fields (e.g., cosmology, quantum information and quantum foundations, statistical physics) to the extent that these are directly relevant to quantum gravity research.

Tensorial Methods and Renormalization in Group Field Theories

2014-04-12 Science
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Release : 2014-04-12
Genre : Science
Kind : eBook
Book Rating : 673/5 ( reviews)

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Book Synopsis Tensorial Methods and Renormalization in Group Field Theories by : Sylvain Carrozza

Download or read book Tensorial Methods and Renormalization in Group Field Theories written by Sylvain Carrozza. This book was released on 2014-04-12. Available in PDF, EPUB and Kindle. Book excerpt: The main focus of this thesis is the mathematical structure of Group Field Theories (GFTs) from the point of view of renormalization theory. Such quantum field theories are found in approaches to quantum gravity related, on the one hand, to Loop Quantum Gravity (LQG) and on the other, to matrix- and tensor models. Background material on these topics, including conceptual and technical aspects, are introduced in the first chapters. The work then goes on to explain how the standard tools of Quantum Field Theory can be generalized to GFTs and exploited to study the large cut-off behaviour and renormalization group transformations of the latter. Among the new results derived in this context are a proof of renormalizability of a three-dimensional GFT with gauge group SU(2), which opens the way to applications of the formalism to quantum gravity.

Quantum Field Theory and Gravity

2012-02-08 Mathematics
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Release : 2012-02-08
Genre : Mathematics
Kind : eBook
Book Rating : 436/5 ( reviews)

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Book Synopsis Quantum Field Theory and Gravity by : Felix Finster

Download or read book Quantum Field Theory and Gravity written by Felix Finster. This book was released on 2012-02-08. Available in PDF, EPUB and Kindle. Book excerpt: One of the most challenging problems of contemporary theoretical physics is the mathematically rigorous construction of a theory which describes gravitation and the other fundamental physical interactions within a common framework. The physical ideas which grew from attempts to develop such a theory require highly advanced mathematical methods and radically new physical concepts. This book presents different approaches to a rigorous unified description of quantum fields and gravity. It contains a carefully selected cross-section of lively discussions which took place in autumn 2010 at the fifth conference "Quantum field theory and gravity - Conceptual and mathematical advances in the search for a unified framework" in Regensburg, Germany. In the tradition of the other proceedings covering this series of conferences, a special feature of this book is the exposition of a wide variety of approaches, with the intention to facilitate a comparison. The book is mainly addressed to mathematicians and physicists who are interested in fundamental questions of mathematical physics. It allows the reader to obtain a broad and up-to-date overview of a fascinating active research area.

Covariant Operator Formalism Of Gauge Theories And Quantum Gravity

1990-11-27 Science
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Release : 1990-11-27
Genre : Science
Kind : eBook
Book Rating : 868/5 ( reviews)

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Book Synopsis Covariant Operator Formalism Of Gauge Theories And Quantum Gravity by : Nakanishi Noboru

Download or read book Covariant Operator Formalism Of Gauge Theories And Quantum Gravity written by Nakanishi Noboru. This book was released on 1990-11-27. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a thorough description of the manifestly covariant canonical formalism of the abelian and non-abelian gauge theories and quantum gravity. The emphasis is on its non-perturbative nature and the non-use of the path-integral approach. The formalism presented here is extremely beautiful and transparent.

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