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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.
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Description
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)
Course content
- Lecture 01 – Quantum Theory Fundamental Quantization Unlimited
- Lecture 02 – Quantum Theory Fundamental Quantization (cont.) Unlimited
- Lecture 03 – Path Integral Formulation I Unlimited
- Lecture 04 – Path Integral Formulation II Unlimited
- Lecture 05 – Path Integral Formulation III Unlimited
- Lecture 06 – Path Integral Formulation IV Unlimited
- Lecture 07 – Correlation Functions Unlimited
- Lecture 08 – Correlation Functions (cont.) Unlimited
- Lecture 09 – Generating Functional, Forced Harmonic Oscillator Unlimited
- Lecture 10 – Generating Functional, Forced Harmonic Oscillator (cont.) Unlimited
- Lecture 11 – Generating Function in Field Theory Unlimited
- Lecture 12 – Generating Function in Field Theory (cont.) Unlimited
- Lecture 13 – Effective Potential I Unlimited
- Lecture 14 – Effective Potential II Unlimited
- Lecture 15 – Effective Potential III Unlimited
- Lecture 16 – Effective Potential IV Unlimited
- Lecture 17 – Asymptotic Theory Unlimited
- Lecture 18 – Asymptotic Theory (cont.) Unlimited
- Lecture 19 – Asymptotic Condition Kallen-Lehmann Representation Unlimited
- Lecture 20 – Asymptotic Condition Kallen-Lehmann Representation (cont.) Unlimited
- Lecture 21 – Gauge Invariance – Minimal Coupling Unlimited
- Lecture 22 – Gauge Invariance – Geometric Picture Unlimited
- Lecture 23 – Gauge Invariance – Abelian Case Unlimited
- Lecture 24 – Gauge Invariance – Non-Abelian Case Unlimited
- Lecture 25 – Yang Mills Theory – Coupling to Matter Unlimited
- Lecture 26 – Yang Mills Theory – Physical Content Unlimited
- Lecture 27 – Yang Mills Theory – Constraint Dynamics Unlimited
- Lecture 28 – Yang Mills Theory – Constraint Dynamics (cont.) Unlimited
- Lecture 29 – Gauge Fixing and Faddeev Popov Ghosts Unlimited
- Lecture 30 – Gauge Fixing and Faddeev Popov Ghosts (cont.) Unlimited
- Lecture 31 – Topological Vacuum of Yang Mills Theories Unlimited
- Lecture 32 – Topological Vacuum of Yang Mills Theories (cont.) Unlimited
Instructor
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