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Path Integral and Functional Methods in Quantum Field Theory

Path Integral and Functional Methods in Quantum Field Theory. Instructor: Prof. Urjit A. Yajnik, Department of Physics, IIT Bombay. Path Integral Method is an important formal development in quantum mechanics. The first half of the course is useful for any student of quantum mechanics, providing deeper insights into the theory. The second half of the course discusses path integral method in its functional form applied to space-time fields and brings out connection of quantised fields to elementary particles. (from nptel.ac.in)

Lecture 17 - Asymptotic Theory

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Lecture 01 - Quantum Theory Fundamental Quantization

Lecture 02 - Quantum Theory Fundamental Quantization (cont.)

Lecture 03 - Path Integral Formulation I

Lecture 04 - Path Integral Formulation II

Lecture 05 - Path Integral Formulation III

Lecture 06 - Path Integral Formulation IV

Lecture 07 - Correlation Functions

Lecture 08 - Correlation Functions (cont.)

Lecture 09 - Generating Functional, Forced Harmonic Oscillator

Lecture 10 - Generating Functional, Forced Harmonic Oscillator (cont.)

Lecture 11 - Generating Function in Field Theory

Lecture 12 - Generating Function in Field Theory (cont.)

Lecture 13 - Effective Potential I

Lecture 14 - Effective Potential II

Lecture 15 - Effective Potential III

Lecture 16 - Effective Potential IV

Lecture 17 - Asymptotic Theory

Lecture 18 - Asymptotic Theory (cont.)

Lecture 19 - Asymptotic Condition Kallen-Lehmann Representation

Lecture 20 - Asymptotic Condition Kallen-Lehmann Representation (cont.)

Lecture 21 - Gauge Invariance - Minimal Coupling

Lecture 22 - Gauge Invariance - Geometric Picture

Lecture 23 - Gauge Invariance - Abelian Case

Lecture 24 - Gauge Invariance - Non-Abelian Case

Lecture 25 - Yang Mills Theory - Coupling to Matter

Lecture 26 - Yang Mills Theory - Physical Content

Lecture 27 - Yang Mills Theory - Constraint Dynamics

Lecture 28 - Yang Mills Theory - Constraint Dynamics (cont.)

Lecture 29 - Gauge Fixing and Faddeev Popov Ghosts

Lecture 30 - Gauge Fixing and Faddeev Popov Ghosts (cont.)

Lecture 31 - Topological Vacuum of Yang Mills Theories

Lecture 32 - Topological Vacuum of Yang Mills Theories (cont.)