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Loops Knots Gauge Theories


Loops Knots Gauge Theories
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Loops Knots Gauge Theories And Quantum Gravity


Loops Knots Gauge Theories And Quantum Gravity
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Author : Rodolfo Gambini
language : en
Publisher:
Release Date : 2000

Loops Knots Gauge Theories And Quantum Gravity written by Rodolfo Gambini and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.




Loops Knots Gauge Theories


Loops Knots Gauge Theories
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Author : Rodolfo Gambini
language : en
Publisher: Cambridge University Press
Release Date : 2023-02-16

Loops Knots Gauge Theories written by Rodolfo Gambini and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-16 with Science categories.


This volume provides a self-contained introduction to applications of loop representations in particle physics and quantum gravity, in order to explore the gauge invariant quantization of Yang-Mills theories and gravity. First published in 1996, this title has been reissued as an Open Access publication on Cambridge Core.



Loops Knots Gauge Theories And Quantum Gravity


Loops Knots Gauge Theories And Quantum Gravity
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Author : Rodolfo Gambini
language : en
Publisher: Cambridge University Press
Release Date : 2000-07-03

Loops Knots Gauge Theories And Quantum Gravity written by Rodolfo Gambini and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-07-03 with Mathematics categories.


Now in paperback, this text provides a self-contained introduction to applications of loop representations and knot theory in particle physics and quantum gravity. Loop representations (and the related topic of knot theory) are of considerable current interest because they provide a unified arena for the study of the gauge invariant quantization of Yang-Mills theories and gravity, and suggest a promising approach to the eventual unification of the four fundamental forces. This text begins with a detailed review of loop representation theory. It then goes on to describe loop representations in Maxwell theory, Yang-Mills theories as well as lattice techniques. Applications in quantum gravity are then discussed in detail. Following chapters move on to consider knot theories, braid theories and extended loop representations in quantum gravity. A final chapter assesses the current status of the theory and points out possible directions for future research.



Wilson Lines In Quantum Field Theory


Wilson Lines In Quantum Field Theory
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Author : Igor Olegovich Cherednikov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-12-02

Wilson Lines In Quantum Field Theory written by Igor Olegovich Cherednikov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-02 with Science categories.


The objective of this book is to get the reader acquainted with theoretical and mathematical foundations of the concept of Wilson loops in the context of modern quantum fi eld theory. It offers an introduction to calculations with Wilson lines, and shows the recent development of the subject in different important areas of research within the historical context.



Mexican Mathematicians In The World


Mexican Mathematicians In The World
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Author : Fernando Galaz-García
language : en
Publisher: American Mathematical Society
Release Date : 2021-11-22

Mexican Mathematicians In The World written by Fernando Galaz-García and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-22 with Mathematics categories.


Articles in this volume are based on presentations given at the IV Meeting of Mexican Mathematicians Abroad (IV Reunión de Matemáticos Mexicanos en el Mundo), held from June 10–15, 2018, at Casa Matemática Oaxaca (CMO), Mexico. This meeting was the fourth in a series of ongoing biannual meetings bringing together Mexican mathematicians working abroad with their peers in Mexico. This book features surveys and research articles from five broad research areas: algebra, analysis, combinatorics, geometry, and topology. Their topics range from general relativity and mathematical physics to interactions between logic and ergodic theory. Several articles provide a panoramic view of the fields and problems on which the authors are currently working on, showcasing diverse research lines complementary to those currently pursued in Mexico. The research-oriented manuscripts provide either alternative approaches to well-known problems or new advances in active research fields.



Applications Of Knot Theory


Applications Of Knot Theory
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Author : American Mathematical Society. Short Course
language : en
Publisher: American Mathematical Soc.
Release Date : 2009

Applications Of Knot Theory written by American Mathematical Society. Short Course and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.


Louis Kauffman discusses applications of knot theory to physics, Nadrian Seeman discusses how topology is used in DNA nanotechnology, and Jonathan Simon discusses the statistical and energetic properties of knots and their relation to molecular biology."--BOOK JACKET.



Trails In Modern Theoretical And Mathematical Physics


Trails In Modern Theoretical And Mathematical Physics
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Author : Andrea Cintio
language : en
Publisher: Springer Nature
Release Date : 2023-12-21

Trails In Modern Theoretical And Mathematical Physics written by Andrea Cintio and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-21 with Science categories.


This book celebrates the life and work of the late Giovanni Morchio (1944–2021). It features scientific and anecdotal contributions written by his former colleagues, co-authors, and students, as well as senior scientists who were active witnesses to the dramatic advances in physics and in mathematics that took place during his 50-year-long career. The volume begins with a biographical introduction, detailing Giovanni Morchio’s life and his role as a physicist, mathematician, teacher, and scientist. The core of the book covers a vast spectrum of ideas, reflecting Dr Morchio’s scientific interests. Each chapter develops a specific topic of modern research, ranging from quantum mechanics and quantum field theory to additional themes such as the connection between general relativity and Newtonian gravitation. Every contribution provides a historical retrospective, a survey of advances, an outlook of future perspectives and challenges, and an updated bibliography. The last part collects the authors’ recollections of their professional and personal interactions with Dr Morchio, in recognition of his deep achievements, his exceptional pedagogical qualities, and his praiseworthy social and pro bono commitment. Authored by physicists of international calibre covering a broad range of subjects, the book will be a valuable reference for researchers and students of theoretical and mathematical physics.



Quantum Potential Physics Geometry And Algebra


Quantum Potential Physics Geometry And Algebra
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Author : Ignazio Licata
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-19

Quantum Potential Physics Geometry And Algebra written by Ignazio Licata and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-19 with Science categories.


Recently the interest in Bohm realist interpretation of quantum mechanics has grown. The important advantage of this approach lies in the possibility to introduce non-locality ab initio, and not as an “unexpected host”. In this book the authors give a detailed analysis of quantum potential, the non-locality term and its role in quantum cosmology and information. The different approaches to the quantum potential are analysed, starting from the original attempt to introduce a realism of particles trajectories (influenced by de Broglie’s pilot wave) to the recent dynamic interpretation provided by Goldstein, Durr, Tumulka and Zanghì, and the geometrodynamic picture, with suggestion about quantum gravity. Finally we focus on the algebraic reading of Hiley and Birkbeck school, that analyse the meaning of the non-local structure of the world, bringing important consequences for the space, time and information concepts.



Geometric Methods For Quantum Field Theory


Geometric Methods For Quantum Field Theory
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Author : Hernan Ocampo
language : en
Publisher: World Scientific
Release Date : 2001-04-30

Geometric Methods For Quantum Field Theory written by Hernan Ocampo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-04-30 with Science categories.


Both mathematics and mathematical physics have many active areas of research where the interplay between geometry and quantum field theory has proved extremely fruitful. Duality, gauge field theory, geometric quantization, Seiberg-Witten theory, spectral properties and families of Dirac operators, and the geometry of loop groups offer some striking recent examples of modern topics which stand on the borderline between geometry and analysis on the one hand and quantum field theory on the other, where the physicist's and the mathematician's perspective complement each other, leading to new mathematical and physical concepts and results.This volume introduces the reader to some basic mathematical and physical tools and methods required to follow the recent developments in some active areas of mathematical physics, including duality, gauge field theory, geometric quantization, Seiberg-Witten theory, spectral properties and families of Dirac operators, and the geometry of loop groups. It comprises seven self-contained lectures, which should progressively give the reader a precise idea of some of the techniques used in these areas, as well as a few short communications presented by young participants at the school.



Finite Temperature Field Theory


Finite Temperature Field Theory
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Author : Joseph I. Kapusta
language : en
Publisher: Cambridge University Press
Release Date : 2023-07-27

Finite Temperature Field Theory written by Joseph I. Kapusta and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-27 with Science categories.


Develops the basic formalism and theoretical techniques for relativistic quantum field theory at high temperature and density; now Open Access.