Dynamical rearrangement of symmetry and macroscopic manifestations of QFT

The following sections are included:

• Introduction

• Dynamical rearrangement of symmetry

  • SU(2) symmetry

  • Global U(1) symmetry

  • Local U(1) symmetry and the emergence of classical Maxwell equations

• The boson transformation theorem and the nonhomogeneous boson condensation

  • Topological singularities, gapless modes and macroscopic observables

  • Defect formation in the process of symmetry breaking phase transitions

• Group contraction and spontaneous symmetry breaking

  • The infrared effect

  • Group contraction, boson condensation and macroscopic quantum systems

  • The collective behavior of quantum components and group contraction

• Quantum fluctuations and macroscopic stability

  • Quantum mechanical decoherence and stability of macroscopic quantum systems

• Appendix K Group contraction and Virasoro algebra

• Appendix L Phase locking in the N atom system