Sidney Coleman — Quantum Field Theory Lectures · Problem 10

October 7 - Hamiltonian recovered in free scalar theory up to infinite constant; Normal ordering; Symmetries and conservation laws, Noether's theorem; Noether's theorem in field theory, conserved currents; ambiguity in currents; Energy-momentum tensor — Sidney Coleman

Physics — QFT · noether-charges-lie-algebra

Problem

Show:

[Q^i, Q^j] = i\epsilon_{ijk}Q^k

when the

Q^i

's are generators of an

SO(3)

internal symmetry. For a general internal symmetry group, the quantum

Q

's recreate the algebra of the generators.

Related theory

Lie Groups And Lie Algebras

Browse the problem library