Field Theory A Modern Primer 2nd Edition by Pierre Ramond – Ebook PDF Instant Download/Delivery: 9780367005047, 0367005042
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Product details:
ISBN 10: 0367005042
ISBN 13: 9780367005047
Author: Pierre Ramond
Table of contents:
Chapter 1: How to Build an Action Functional
1.1 The Action Functional: Elementary Considerations
1.2 The Lorentz Group (A Cursory Look)
1.3 The Poincaré Group
1.4 Behavior of Local Fields under the Poincaré Group
1.5 General Properties of the Action
1.6 The Action for Scalar Fields
1.7 The Action for Spinor Fields
1.8 An Action with Scalar and Spinor Fields and Supersymmetry
Chapter 2: The Action Functional in Quantum Mechanics
2.1 Canonical Transformations in Classical and Quantum Mechanics
2.2 The Feynman Path Integral
2.3 The Path Integral and the Forced Harmonic Oscillator
Chapter 3: The Feynman Path Integral in Field Theory
3.1 The Generating Functional
3.2 The Feynman Propagator
3.3 The Effective Action
3.4 Saddle Point Evaluation of the Path Integral
3.5 First Quantum Effects: δ-Function Evaluation of Determinants
3.6 Scaling of Determinants: Scale Dependent Coupling Constant
3.7 Finite Temperature Field Theory
Chapter 4: Perturbative Evaluation of the FPI: ϕ⁴ Theory
4.1 Feynman Rules for λϕ⁴ Theory
4.2 Divergences of Feynman Diagrams
4.3 Dimensional Regularization of Feynman Diagrams
4.4 Evaluation of Feynman Integrals
4.5 Renormalization
4.6 Renormalization Prescriptions
4.7 Prescription Dependence of Renormalization Group Coefficients
4.8 Continuation to Minkowski Space; Analyticity
4.9 Cross-Sections and Unitarity
Chapter 5: Path Integral Formulation with Fermions
5.1 Integration over Grassmann Numbers
5.2 Path Integral of Free Fermi Fields
5.3 Feynman Rules for Spinor Fields
5.4 Evaluation and Scaling of Fermion Determinants
Chapter 6: Gauge Symmetries: Yang-Mills and Gravity
6.1 Global and Local Symmetries
6.2 Construction of Locally Symmetric Lagrangians
6.3 The Pure Yang-Mills Theory
6.4 Gravity as a Gauge Theory
Chapter 7: Path Integral Formulation of Gauge Theories
7.1 Hamiltonian Formalism of Gauge Theories: Abelian Case
7.2 Hamiltonian Formalism of Gauge Theories: Non-Abelian Case
7.3 The Faddeev-Popov Procedure
Chapter 8: Perturbative Evaluation of Gauge Theories
8.1 Feynman Rules for Gauge Theories
8.2 QED: One-Loop Structure
8.3 QED: Ward Identities
8.4 QED: Applications
8.5 Yang-Mills Theory: Preliminaries
8.6 Yang-Mills Theory: One-Loop Structure
8.7 Yang-Mills Theory: Slavnov-Taylor Identities
8.8 Yang-Mills Theory: Asymptotic Freedom
8.9 Anomalies
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