Rating: 4 out of 5 stars
4/5
Ebook551 pages10 hours
Quantization of Gauge Systems
By Marc Henneaux and Claudio Teitelboim
Rating: 0 out of 5 stars
()
About this ebook
This book is a systematic study of the classical and quantum theories of gauge systems. It starts with Dirac's analysis showing that gauge theories are constrained Hamiltonian systems. The classical foundations of BRST theory are then laid out with a review of the necessary concepts from homological algebra. Reducible gauge systems are discussed, and the relationship between BRST cohomology and gauge invariance is carefully explained. The authors then proceed to the canonical quantization of gauge systems, first without ghosts (reduced phase space quantization, Dirac method) and second in the BRST context (quantum BRST cohomology). The path integral is discussed next. The analysis covers indefinite metric systems, operator insertions, and Ward identities. The antifield formalism is also studied and its equivalence with canonical methods is derived. The examples of electromagnetism and abelian 2-form gauge fields are treated in detail.
The book gives a general and unified treatment of the subject in a self-contained manner. Exercises are provided at the end of each chapter, and pedagogical examples are covered in the text.
Related to Quantization of Gauge Systems
Related ebooks
Gauge Theories of the Strong, Weak, and Electromagnetic Interactions: Second Edition Matrices, Moments and Quadrature with Applications Rating: 5 out of 5 stars5/5Lectures on the Infrared Structure of Gravity and Gauge Theory Rating: 0 out of 5 stars0 ratingsElectromagnetic Processes Rating: 0 out of 5 stars0 ratingsA Dynamical Systems Theory of Thermodynamics Rating: 0 out of 5 stars0 ratingsFoundations for Guided-Wave Optics Rating: 0 out of 5 stars0 ratingsThe Dawning of Gauge Theory Rating: 0 out of 5 stars0 ratingsGraphs and Tables of the Mathieu Functions and Their First Derivatives Rating: 0 out of 5 stars0 ratingsSpecial Functions: An Introduction to the Classical Functions of Mathematical Physics Rating: 5 out of 5 stars5/5A User's Guide to Ellipsometry Rating: 0 out of 5 stars0 ratingsInstead of the ITER project and the TOKAMAK principle: – a new type of fusion machine Rating: 5 out of 5 stars5/5Iterative Solution of Large Linear Systems Rating: 0 out of 5 stars0 ratingsIntroductory Lectures on Equivariant Cohomology Rating: 0 out of 5 stars0 ratingsStatistical Mechanics Rating: 0 out of 5 stars0 ratingsA Course on Surgery Theory Rating: 0 out of 5 stars0 ratingsCharacter Recognition Systems: A Guide for Students and Practitioners Rating: 0 out of 5 stars0 ratingsColliding Plane Waves in General Relativity Rating: 0 out of 5 stars0 ratingsIntroduction to Modeling Convection in Planets and Stars: Magnetic Field, Density Stratification, Rotation Rating: 0 out of 5 stars0 ratingsTotally Nonnegative Matrices Rating: 5 out of 5 stars5/5Introductory Applications of Partial Differential Equations: With Emphasis on Wave Propagation and Diffusion Rating: 0 out of 5 stars0 ratingsQuantum Field Theory: An Integrated Approach Rating: 0 out of 5 stars0 ratingsGalactic Astronomy Rating: 4 out of 5 stars4/5The Quantum Mechanics of Many-Body Systems: Second Edition Rating: 0 out of 5 stars0 ratingsPositive Definite Matrices Rating: 5 out of 5 stars5/5Green's Functions and Boundary Value Problems Rating: 0 out of 5 stars0 ratingsHodge Theory Rating: 0 out of 5 stars0 ratingsOn Angular Momentum Rating: 0 out of 5 stars0 ratingsOrdinary Differential Equations and Stability Theory: An Introduction Rating: 0 out of 5 stars0 ratingsSupernovae and Nucleosynthesis: An Investigation of the History of Matter, from the Big Bang to the Present Rating: 4 out of 5 stars4/5Physical Processes in Circumstellar Disks around Young Stars Rating: 0 out of 5 stars0 ratings
Mathematics For You
What If?: Serious Scientific Answers to Absurd Hypothetical Questions Rating: 5 out of 5 stars5/5My Best Mathematical and Logic Puzzles Rating: 4 out of 5 stars4/5Alan Turing: The Enigma: The Book That Inspired the Film The Imitation Game - Updated Edition Rating: 4 out of 5 stars4/5The Little Book of Mathematical Principles, Theories & Things Rating: 3 out of 5 stars3/5Relativity: The special and the general theory Rating: 5 out of 5 stars5/5Algebra II For Dummies Rating: 3 out of 5 stars3/5Mental Math Secrets - How To Be a Human Calculator Rating: 5 out of 5 stars5/5Standard Deviations: Flawed Assumptions, Tortured Data, and Other Ways to Lie with Statistics Rating: 4 out of 5 stars4/5Quantum Physics for Beginners Rating: 4 out of 5 stars4/5Basic Math & Pre-Algebra For Dummies Rating: 4 out of 5 stars4/5Algebra - The Very Basics Rating: 5 out of 5 stars5/5Calculus Made Easy Rating: 4 out of 5 stars4/5How to Solve It: A New Aspect of Mathematical Method Rating: 4 out of 5 stars4/5Logicomix: An epic search for truth Rating: 4 out of 5 stars4/5Basic Math & Pre-Algebra Workbook For Dummies with Online Practice Rating: 4 out of 5 stars4/5Math Magic: How To Master Everyday Math Problems Rating: 3 out of 5 stars3/5Real Estate by the Numbers: A Complete Reference Guide to Deal Analysis Rating: 0 out of 5 stars0 ratingsAlgebra I Workbook For Dummies Rating: 3 out of 5 stars3/5Intermediate Algebra Rating: 0 out of 5 stars0 ratingsPre-Calculus For Dummies Rating: 5 out of 5 stars5/5Calculus For Dummies Rating: 4 out of 5 stars4/5The Everything Everyday Math Book: From Tipping to Taxes, All the Real-World, Everyday Math Skills You Need Rating: 5 out of 5 stars5/5The Golden Ratio: The Divine Beauty of Mathematics Rating: 5 out of 5 stars5/5Precalculus: A Self-Teaching Guide Rating: 4 out of 5 stars4/5Mental Math: Tricks To Become A Human Calculator Rating: 5 out of 5 stars5/5The Math of Life and Death: 7 Mathematical Principles That Shape Our Lives Rating: 4 out of 5 stars4/5ACT Math & Science Prep: Includes 500+ Practice Questions Rating: 3 out of 5 stars3/5
Related podcast episodes
What is Quantum Mechanics? 0% found this document usefulComplex Geometries 0% found this document usefulComplex Geometries: Modellansatz 086 0% found this document usefulEp 102: Kevin Dougherty, Calvert Cliffs Nuclear Plant: Operations Shift Manager 0% found this document usefulDual-rail superconducting qubits with Rob Schoelkopf 0% found this document usefulThere is No Wave Function | Jacob Barandes: Jacob Barandes 0% found this document usefulEp 109: Kurt Terrani, Oak Ridge National Labs: Nuclear Fuel Materials 0% found this document usefulVariable Reluctance Sensors 0% found this document usefulEp 232: Ayman Hawari, North Carolina State University: Director, PULSTAR reactor 0% found this document usefulEp 149: Michael Reichenberger, Idaho National Labs: Technical Lead, Radiation Measurements Laboratory 0% found this document usefulInnovative Near-Term Quantum Algorithms with Toby Cubitt 0% found this document usefulEp 117: Kathryn McCarthy, Canadian Nuclear Laboratories: VP, Research & Development 0% found this document usefulWhy I changed my mind about computational irreducibility with Jonathan Gorard 0% found this document useful
Related articles
How Mathematicians Use Homology to Make Sense of Topology QuantaUNLIMITED
How Mathematicians Use Homology to Make Sense of Topology
May 11, 2021
1 min readWhat Quantum Gravity Needs Is More Experiments NautilusUNLIMITED
What Quantum Gravity Needs Is More Experiments
Feb 2, 2017
In the mid-1990s, I studied mathematics. I wasn’t really sure just what I wanted to do with my life, but I was awed by the power of mathematics to describe the natural world. After classes on differential geometry and Lie algebras, I attended a semin
8 min readThe Sacred, Spherical Cows of Physics: Theoretical physics milks symmetry to power its newest tool. NautilusUNLIMITED
The Sacred, Spherical Cows of Physics: Theoretical physics milks symmetry to power its newest tool.
May 1, 2014
Early in their training, many physics students come across the idea of spherical cows. Cows in the real world—even at their most plump and well-fed—are hardly spherical, and this makes it tricky to calculate things like, say, how their volume or surf
11 min readThe Quest To Find The Graviton May Need To Go Quantum FuturityUNLIMITED
The Quest To Find The Graviton May Need To Go Quantum
Mar 16, 2020
2 min readLight Could Solve One Of Quantum Computing’s Big Problems FuturityUNLIMITED
Light Could Solve One Of Quantum Computing’s Big Problems
May 8, 2018
Researchers have demonstrated how infrared laser pulses can shift electrons between two different states, the classic 1 and 0, in a thin sheet of semiconductor. The technique could help to solve a major issue with quantum computing. “Ordinary electro
3 min readWhat Is Cfd Superyacht InternationalUNLIMITED
What Is Cfd
Jun 21, 2022
3 min read
Reviews for Quantization of Gauge Systems
Rating: 0 out of 5 stars
0 ratings
0 ratings0 reviews
Book preview
Quantization of Gauge Systems - Marc Henneaux
Enjoying the preview?
Page 1 of 1