Quantum field theory and critical phenomena /
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
Main Author: | |
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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: |
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.