Abstract

PART ONE: The Path Integral in Quantum Mechanics: Action in Classical Mechanics. The Path Integral in Quantum Mechanics. The Euclidean Path Integral. PART TWO: Introduction to Quantum Field Theory. Classical and Quantum Fields. Vacuum Energy in n4 Theory. Renormalization of the Effective Action. Renormalization Group. Concluding Remarks. PART THREE: More Complex Fields and Objects: From Particles to Fields: Path Integral Fermions. Gauge Fields. Topological Objects. Some Integrals and Products. Splitting of Levels in Double-Well Potential. Lie Algebra

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