Consider the Lagrangian density of a charged spin 0 scalar field mc. L = * a-...

 

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Consider the Lagrangian density of a charged spin 0 scalar field mc. L = μ* a"- (¹) ²6*6. ħ Consider a charged s = 0 field particle interacting with the electromagnetic field. Explain why the following Lagrangian density describes the system: mc. C = [((îµ + i½Âµ)o)*(0ª + i¼A²)6 - (C)²66] - FF. Consider now a local phase transformation: o(x) → o' (x¹) = eiga(2") (24). Show that if at the same time Αμ + A = Aw + hθμα, the Lagangian density above is invariant. What is this local symmetry called? Consider the Lagrangian density of a charged spin 0 scalar field mc. L = μ* a"- (¹) ²6*6. ħ Consider a charged s = 0 field particle interacting with the electromagnetic field. Explain why the following Lagrangian density describes the system: mc. C = [((îµ + i½Âµ)o)*(0ª + i¼A²)6 - (C)²66] - FF. Consider now a local phase transformation: o(x) → o' (x¹) = eiga(2") (24). Show that if at the same time Αμ + A = Aw + hθμα, the Lagangian density above is invariant. What is this local symmetry called?