Course Details
Subject {L-T-P / C} : PH6121 : Quantum Field Theory { 3-0-0 / 3}
Subject Nature : Theory
Coordinator : Prof. Sasmita Mishra
Syllabus
Classical field theory relativistic fields identical bosons and quantum fields Klein-Gordon propagator and relativistic causality quantum electromagnetic fields and photons. Lorentz symmetry and spinor fields Dirac equation and its solutions second quantization of fermions and particle-hole formalism quantum Dirac field Weyl and Majorana spinor fields. Continuous symmetries and conserved currents spontaneous symmetry breaking and Goldstone bosons local (gauge) symmetry and QED Higgs mechanism non-abelian gauge symmetries and the Yang-Mills theory discrete symmetries. Perturbation theory correlation functions and Feynman diagrams S-matrix and cross-sections Feynman rules for fermions Feynman rules for QED. Some elementary processes radiative corrections infrared and ultraviolet divergences renormalization of fields and of the electric charge Ward identities.
Course Objectives
- Understanding the Field concept associated with elementary particles.
- Understanding formulation of elementary particle interaction in terms of fields.
- Understanding concept of spontaneous symmetry breaking.
Course Outcomes
The students shall learn technique of working with relativistic particle which are elementary in nature in terms of field concept.
Essential Reading
- Peskin, Michael E., and Daniel V. Schroeder, An Introduction to Quantum Field Theory, Boulder, CO: Westview Press, 1995, Levant, 2005
- Ryder, Lewis H., Quantum Field Theory, second edition, Cambridge University press, 1stEd., 1998.
Supplementary Reading
- Weinberg, S, The Quantum Theory of Fields. Vol. 1, Foundations. Cambridge, UK: Cambridge University Press, 1995.
- Mandl, Franz, Shaw Grahm, Quantum Field Theory, Second edition, Wiley, 2010