Biró Tamás Sándor

(http://www.rmki.kfki.hu/~tsbiro, tsbiro@sunserv.kfki.hu)

        Nuclear and Particle Physics 2

  

for engineer - physics students (in 7. semester).

     Place:          BME (Technical University Budapest) K.38 (We) R.1.08 (Fr).
     Time:            We: 10:15 - 11:45, Fr: 8:15 - 9:45.

Topics:

1. Review
   • About this course
   • About field theory
   • Objectives and methods
   • Speculative field theory

2. Relativity
   • Relativistic kinematics
   • The principle of relativity
   • Axiomatic theory of special relativity
   • Lorentz transformation and spin
   • Classification due to the representations of the Lorentz group
   • Relativistic equations of motion

3. Symmetry
   • Noether theorem
   • Local phase transformation: gauge symmetry
   • Global SU(3) quark model

4. Quantization
   • The idea of canonical quantization
   • Scalar field quantization
   • Quantization of a half spin field
   • Dirac propagator

5. Gauge Theory
   • Quantization of a massive spin 1 field
   • Quantization of the Maxwell equations
   • Gupta -- Bleuler method
   • The Walecka model for nuclear matter

6. Path Integral
   • From Schrödinger's equation to the path integral
   • Coherent states and fields
   • Fermion coherent states (Grassmann numbers)
   • Fadeev -- Popov method

7. Perturbative Computation
   • The generator of Green's functions
   • Feynman rules
   • Quantum Electrodynamics (QED)

8. Renormalization
   • Physical and bare parameters
   • Regularization
   • The renormalization group

9. Global Symmetry Breaking
   • The vacuum state
   • Goldstone theorem
   • O(4) model, chiral symmetry
   • Disoriented chiral condensate (DCC)

10. Elektroweak Theory
    • Massive gauge theory?
    • Higgs mechanism
    • Weinberg -- Salam theory
    • Anomalies

11. QCD
    • The quark model (once again)
    • SU(3) gauge theory
    • Asymptotic freedom
    • Color confinement
    • MIT bag model
    • String model
    • Standard model

12. Nonperturbative Methods
    • Solitons
    • Topological charge
    • Monopoles
    • Instantons
    • Lattice Gauge Theory

13. Big Bang
    • Cosmological Standard Model
    • Quark Gluon Plasma
    • Baryogenesis
    • Beyond the Standard Model

First lecture in 2000:         September 13