An Exploration into the Foundations of Quantum Field Theory

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- Preface
- Contents
- Conceptual Foundations

- Classical Field Theory
- Definition of the Classical Theory
- Fixed Boundary Conditions
- Finite-Difference Operators
- Space of Field Configurations
- Momentum Space
- Finite Fourier Transforms
- Eigenvalues and Eigenvectors of the Laplacian
- Eigenvectors for Fixed Boundary Conditions
- Basis Transformations in Configuration Space
- External Sources and Green Functions
- Sources and Fixed Boundary Conditions

- Quantum Field Theory
- Definition of the Quantum Theory
- Relation with Statistical Mechanics
- Gaussian Integration
- Factorization of the Correlation Functions
- External Sources in the Quantum Theory
- Functional Generators on the Lattice
- Physical Significance of the Effective Action

- Correlation Structure
- Structure of the Two-Point Function
- Discontinuity of the Configurations
- Block Variables and Observables

- The Concept of Energy

- Conclusions and Outlook

- Bibliography