Quantum field theory and critical phenomena /

Quantum field theory and critical phenomena /

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This work, which does not claim to shed any light on any difficult problems, simply tries to describe particle physics and critical phenomena in statistical mechanics in a unified framework

Bibliographic Details
Main Author: Zinn-Justin, Jean
Format: Book
Language:English
Published: New York : Clarendon Press, 1996
Oxford : New York : Clarendon Press ; Oxford University Press, 1996
Oxford : New York : 1997, c1996
Oxford ; New York : 1996
Oxford : New York : 1996
Edition:3rd ed
Series:Oxford science publications
International series of monographs on physics (Oxford, England) ; 92
International series of monographs on physics (Oxford, England) 92
International series of monographs on physics (Oxford, England)
International series of monographs on physics
Oxford science publications
Subjects:
Critical phenomena (Physics)
Quantum field theory
Renormalization (Physics)
Table of Contents:
  • 1. Algebraic Preliminaries
  • 2. Euclidean Path Integrals in Quantum Mechanics
  • 3. Path Integrals in Quantum Mechanics: Generalizations
  • 4. Stochastic Differential Equations: Langevin, Fokker-Planck Equations
  • 5. Functional Integrals in Field Theory
  • 6. Generating Functionals of Correlation Functions. Loopwise Expansion
  • 7. Real-time Quantum Field Theory and S-Matrix
  • 8. Divergences in Perturbation Theory, Power Counting
  • 9. Regularization Methods
  • 10. Introduction to Renormalization Theory. Renormalization Group Equations
  • 11. Dimensional Regularization, Minimal Subtraction: Calculation of RG Functions
  • 12. Renormalization of Composite Operators. Short Distance Expansion
  • 13. Symmetries and Renormalization
  • 14. The Non-Linear [sigma]-Model: An Example of Non-Linearly Realized Symmetries
  • 15. Models on Homogeneous Spaces in Two Dimensions
  • 16. Slavnov-Taylor and BRS Symmetry. Stochastic Field Equations
  • 17. Renormalization and Stochastic Field Equations. Supersymmetry
  • 1. Algebraic Preliminaries
  • 2. Euclidean Path Integrals in Quantum Mechanics
  • 3. Path Integrals in Quantum Mechanics: Generalizations
  • 4. Stochastic Differential Equations: Langevin, Fokker-Planck Equations
  • 5. Functional Integrals in Field Theory
  • 6. Generating Functionals of Correlation Functions. Loopwise Expansion
  • 7. Real-time Quantum Field Theory and S-Matrix
  • 8. Divergences in Perturbation Theory, Power Counting
  • 9. Regularization Methods
  • 10. Introduction to Renormalization Theory. Renormalization Group Equations
  • 11. Dimensional Regularization, Minimal Subtraction: Calculation of RG Functions
  • 12. Renormalization of Composite Operators. Short Distance Expansion
  • 13. Symmetries and Renormalization
  • 14. The Non-Linear [sigma]-Model: An Example of Non-Linearly Realized Symmetries
  • 15. Models on Homogeneous Spaces in Two Dimensions
  • 16. Slavnov-Taylor and BRS Symmetry. Stochastic Field Equations
  • 1 Algebraic Preliminaries
  • 2. Euclidean Path Integrals in Quantum Mechanics
  • 3. Path Integrals in Quantum Mechanics: Generalizations
  • 4. Stochastic Differential Equations: Langevin, Fokker-Planck Equations
  • 5. Functional Integrals in Field Theory
  • 6. Generating Functionals of Correlation Functions. Loopwise Expansion
  • 7. Real-time Quantum Field Theory and S-Matrix
  • 8. Divergences in Perturbation Theory, Power Counting
  • 9. Regularization Methods
  • 10. Introduction to Renormalization Theory. Renormalization Group Equations
  • 11. Dimensional Regularization, Minimal Subtraction: Calculation of RG Functions
  • 12. Renormalization of Composite Operators. Short Distance Expansion
  • 13. Symmetries and Renormalization
  • 14. The Non-Linear [sigma]-Model: An Example of Non-Linearly Realized Symmetries
  • 15. Models on Homogeneous Spaces in Two Dimensions
  • 16. Slavnov-Taylor and BRS Symmetry. Stochastic Field Equations
  • 17. Renormalization and Stochastic Field Equations. Supersymmetry
  • 18. Abelian Gauge Theories
  • 19. Non-Abelian Gauge Theories: Introduction
  • 20. The Standard Model. Anomalies
  • 21. Renormalization of Gauge Theories: General Formalism
  • 22. Classical and Quantum Gravity. Tensors and Riemannian Manifolds
  • 23. Critical Phenomena: General Considerations
  • 24. Mean Field Theory for Ferromagnetic Systems
  • 25. General Renormalization Group Analysis. The Critical Theory near Dimension Four
  • 26. Scaling Behaviour in the Critical Domain
  • 27. Corrections to Scaling Behaviour
  • 28. Calculation of Universal Quantities
  • 29. The [(phi squared) squared] Field Theory in the Large N Limit
  • 30. Ferromagnetic Order at Low Temperature: the Non-Linear [sigma]-Model
  • 31. Two-Dimensional Models and Bosonization Method
  • 32. The O(2) 2D Classical Spin Model
  • 33. Critical Properties of Gauge Theories
  • 34. Large Momentum Behaviour in Field Theory
  • 35. Critical Dynamics
  • 36. Field Theory in a Finite Geometry: Finite Size Scaling
  • 37. Instantons in Quantum Mechanics: The Anharmonic Oscillator
  • 38. Instantons in Quantum Mechanics: Generalization
  • 39. Unstable Vacua in Field Theory
  • 40. Degenerate Classical Minima and Instantons
  • 41. Perturbation Theory at Large Orders and Instantons. The Summation Problem
  • 42. Instantons: The [phi, superscript 4] Field Theory in Dimension Four
  • 43. Multi-Instantons in Quantum Mechanics
  • 44. Exercises: Some Solutions.
  • 1 Algebraic Preliminaries
  • 2. Euclidean Path Integrals in Quantum Mechanics
  • 3. Path Integrals in Quantum Mechanics: Generalizations
  • 4. Stochastic Differential Equations: Langevin, Fokker-Planck Equations
  • 5. Functional Integrals in Field Theory
  • 6. Generating Functionals of Correlation Functions. Loopwise Expansion
  • 7. Real-time Quantum Field Theory and S-Matrix
  • 8. Divergences in Perturbation Theory, Power Counting
  • 9. Regularization Methods
  • 10. Introduction to Renormalization Theory. Renormalization Group Equations
  • 11. Dimensional Regularization, Minimal Subtraction: Calculation of RG Functions
  • 12. Renormalization of Composite Operators. Short Distance Expansion
  • 13. Symmetries and Renormalization
  • 14. The Non-Linear [sigma]-Model: An Example of Non-Linearly Realized Symmetries
  • 15. Models on Homogeneous Spaces in Two Dimensions
  • 16. Slavnov-Taylor and BRS Symmetry. Stochastic Field Equations
  • 18. Abelian Gauge Theories
  • 19. Non-Abelian Gauge Theories: Introduction
  • 20. The Standard Model. Anomalies
  • 21. Renormalization of Gauge Theories: General Formalism
  • 22. Classical and Quantum Gravity. Tensors and Riemannian Manifolds
  • 23. Critical Phenomena: General Considerations
  • 24. Mean Field Theory for Ferromagnetic Systems
  • 25. General Renormalization Group Analysis. The Critical Theory near Dimension Four
  • 26. Scaling Behaviour in the Critical Domain
  • 27. Corrections to Scaling Behaviour
  • 28. Calculation of Universal Quantities
  • 29. The [(phi squared) squared] Field Theory in the Large N Limit
  • 30. Ferromagnetic Order at Low Temperature: the Non-Linear [sigma]-Model
  • 31. Two-Dimensional Models and Bosonization Method
  • 32. The O(2) 2D Classical Spin Model
  • 33. Critical Properties of Gauge Theories
  • 34. Large Momentum Behaviour in Field Theory
  • 35. Critical Dynamics
  • 36. Field Theory in a Finite Geometry: Finite Size Scaling
  • 37. Instantons in Quantum Mechanics: The Anharmonic Oscillator
  • 38. Instantons in Quantum Mechanics: Generalization
  • 39. Unstable Vacua in Field Theory
  • 40. Degenerate Classical Minima and Instantons
  • 41. Perturbation Theory at Large Orders and Instantons. The Summation Problem
  • 42. Instantons: The [phi, superscript 4] Field Theory in Dimension Four
  • 43. Multi-Instantons in Quantum Mechanics
  • 44. Exercises: Some Solutions
  • 17 Renormalization and Stochastic Field Equations. Supersymmetry
  • 18. Abelian Gauge Theories
  • 19. Non-Abelian Gauge Theories: Introduction
  • 20. The Standard Model. Anomalies
  • 21. Renormalization of Gauge Theories: General Formalism
  • 22. Classical and Quantum Gravity. Tensors and Riemannian Manifolds
  • 23. Critical Phenomena: General Considerations
  • 24. Mean Field Theory for Ferromagnetic Systems
  • 25. General Renormalization Group Analysis. The Critical Theory near Dimension Four
  • 26. Scaling Behaviour in the Critical Domain
  • 27. Corrections to Scaling Behaviour
  • 28. Calculation of Universal Quantities
  • 29. The [(phi squared) squared] Field Theory in the Large N Limit
  • 30. Ferromagnetic Order at Low Temperature: the Non-Linear [sigma]-Model
  • 31. Two-Dimensional Models and Bosonization Method
  • 32. The O(2) 2D Classical Spin Model
  • 33. Critical Properties of Gauge Theories
  • 34. Large Momentum Behaviour in Field Theory
  • 35 Critical Dynamics
  • 36. Field Theory in a Finite Geometry: Finite Size Scaling
  • 37. Instantons in Quantum Mechanics: The Anharmonic Oscillator
  • 38. Instantons in Quantum Mechanics: Generalization
  • 39. Unstable Vacua in Field Theory
  • 40. Degenerate Classical Minima and Instantons
  • 41. Perturbation Theory at Large Orders and Instantons. The Summation Problem
  • 42. Instantons: The [phi, superscript 4] Field Theory in Dimension Four
  • 43. Multi-Instantons in Quantum Mechanics
  • 44. Exercises: Some Solutions.

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