Sumários

Anomalous magnetic moment. Action and variational principle in field theory

26 Março 2025, 16:30 • Luís Bento

Non-minimal electromagnetic coupling and spinor anomalous magnetic moment.

Lagrangians and Euler-Lagrangian equations for complex scalar fields, non-relativistic Schrödinger
equation and free spinor field. Lagrangian for electromagnetic field and matter electromagnetic current.

Euler-Lagrangian equations

24 Março 2025, 14:00 • Luís Bento

Exercises about real scalar field and spinor Lagrangians and equations of motion.

Spinor Lorentz transformations. Electrodynamics and electron magnetic moment

19 Março 2025, 16:30 • Luís Bento

Verification of Dirac equation covariance. Spinor Lorentz group generators and spin operator.

Properties of the transformation matrices. Conjugate and bar spinor transformations. Bilinear scalar, pseudo-scalar
vector, axial-vector and tensor densities.
Non-relativistic limit of the Dirac equation with electromagnetic minimal coupling. Orbital and intrinsic
magnetic moment, prediction of g=2.

Dirac spinors

17 Março 2025, 14:00 • Luís Bento

Exercises about solutions of Dirac equation. Gamma 5 matrix and chiral fields

Lorentz group and field transformations

12 Março 2025, 16:30 • Luís Bento

Relativisitic coordinate transformations. O(3,1) and proper Lorentz group SO(3,1). Exponential form of
Lorentz transformations. Covariance of Klein-Gordon equation.
Transformations of scalar and vector fields. Identification of the Lorentz group generators and spin operators of a 4-vector field. Covariance of Dirac equation.