B.S. QUANTUM FIELD THEORY [PHYS-672] SYLLABUS

Preliminary Concepts: Non relativistic quantum mechanics, Lorentz covariance, The Klein-Gordon equation, The Feynman-Stuckelberg solutions, Nonrelativistic perturbation theory, Scattering amplitude.

Electrodynamics of Spinless Particles: Electron in an electromagnetic field, cross section and invariant amplitude, Decay rates, spinless electron-electron scattering, Electron-positron scattering, Invariant variables, The propagator.

The Dirac equation: Covariant form of Dirac equation, Conserved current and adjoint equation, Free particle Spinor, Antiparticles, Normalization of Spinors, Bilinear covariance, Zero mass fermions.

Electrodynamics of spin ½ Particles: Moller scattering, Trace theorem and properties of g-matrices, Electron positron processes, Helicity conservation, Photons and polarization vectors, Pair annihilation, Feynman rules.

Renormalization: Scattering of electron off a static charge and higher order corrections, The Lamb shift, Loops and Ward identities, Charge screening, Renormalization, The running coupling constants in QED and QCD.

The structure of Partons: The structure of Parton, electron-proton scattering, proton form factors, Inelastic electron scattering.

Parton theory: Bjorken scaling, Partons and Bjorken scaling, Gluons.

Recommended Text:
1. C. Itzykson & J. B. Zuber, “Quantum Field Theory”, McGraw Hill Book Company, Singapore (2006).
2. V. G. Kiselev, Y. M. Shnir & Y. Treguubovich, “Introduction to quantum field theory”, Amazon (2000)
3. S. Weinberg, “The quantum theory of fields”, Amazon (2005)
4. P. Ramond, “Field theory, A modern primer”, Benjamin-Cumming Inc. Massachusetts (1981).
5. F. Halzen & A. D. Martin, “Quarks and Leptons”, John Wiley & Sons, Singapore (1984).