Advanced Quantum Field Theory
β Scribed by D. B. Skinner, ed. Dexter Chua
- Publisher
- University of Cambridge
- Year
- 2017
- Tongue
- English
- Leaves
- 115
- Series
- Cambridge Mathematical Tripos Part III Lecture Notes
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Introduction
What is quantum field theory
Building a quantum field theory
QFT in zero dimensions
Free theories
Interacting theories
Feynman diagrams
An effective theory
Fermions
QFT in one dimension (i.e. QM)
Quantum mechanics
Feynman rules
Effective quantum field theory
Quantum gravity in one dimension
Symmetries of the path integral
Ward identities
The WardβTakahashi identity
Wilsonian renormalization
Background setting
Integrating out modes
Correlation functions and anomalous dimensions
Renormalization group flow
Taking the continuum limit
Calculating RG evolution
Perturbative renormalization
Cutoff regularization
Dimensional regularization
Renormalization of the phi4 coupling
Renormalization of QED
Non-abelian gauge theory
Bundles, connections and curvature
YangβMills theory
Quantum YangβMills theory
FaddeevβPopov ghosts
BRST symmetry and cohomology
Feynman rules for YangβMills
Renormalization of YangβMills theory
Index
β¦ Subjects
maths; mathematics; math; advanced; college; university; higher; further; pure; applied; quantum mechanics; quantum mechanics; physics; quantum field theory; atomic; nuclear
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