[QUE/QFT-06011] QFT-PROBLEM

Write the transformation properties of free Dirac field of under a Lorentz boost by velocity \(vec{v}=v(0,0,1)\). Show that the Dirac wave function for a particle with momentum \(\vec{p}=p(0,0,1)\) and mass \(m\) can be obtained by applying an appropriate boost on wave function for a particle at rest. Demonstrate this only for positive energy solution with spin along \(z\)-axis