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Unformatted text preview: PHY431 Homework Set 7 Reading: Lecture Notes Homework: See below: Due date: Wednesday April 19 Hints and Solutions Problem VII.1 Show that a mass term of the form m A A does break the usual gauge invariance of the electromagnetic field in that a "shift" transformation of the field A A ' = A + / q does not leave the term invariant. Hints: no hints Solution: no solution yet Problem VII.2 Consider the gauge transformation ' = e i and A A ' = A + / q . If satisfies the equation ( D D + m ) = 0, with D =  iqA , derive the equation that is satisfied by ' . Hints: no hints Solution: no solution yet Problem VII.3 Consider the complex scalar field Schrdinger Lagrangian L = i ( / t ) *  */(2 m ). Treating the fields and * as independent, derive the equations of motion for these fields and show that they are indeed the usual Schrdinger equations, and that they are consistent,...
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This homework help was uploaded on 02/05/2008 for the course PHY 431 taught by Professor Rijssenbeek during the Spring '01 term at SUNY Stony Brook.
 Spring '01
 Rijssenbeek
 Physics, Mass, Work

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