Given the Lagrangian density L 1 FF. + [(a" - iqA")ot][(@µ + iqAµ)o] – m²oto - (pto)², με (a) Find all the field equations. (b) Suppose a U(1) transformation on the o-field leaves the Lagrangian in- variant, calculate the conserved Noether current. (c) Verify that a continuity equation exists for this Lagrangian.
Given the Lagrangian density L 1 FF. + [(a" - iqA")ot][(@µ + iqAµ)o] – m²oto - (pto)², με (a) Find all the field equations. (b) Suppose a U(1) transformation on the o-field leaves the Lagrangian in- variant, calculate the conserved Noether current. (c) Verify that a continuity equation exists for this Lagrangian.
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![Given the Lagrangian density
L
1
-Fμv Fµv + [(Əª − iqAª)ø†][(îµ + iqõ)ø] — m² p¹6 – (6¹6)²,
-
(a) Find all the field equations.
(b) Suppose a U(1) transformation on the o-field leaves the Lagrangian in-
variant, calculate the conserved Noether current.
(c) Verify that a continuity equation exists for this Lagrangian.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe44e7fdc-f850-4dc9-8247-4240983c667e%2F903c2e00-a9ff-4f44-be05-500048cd1f32%2F3fj5hnm_processed.png&w=3840&q=75)
Transcribed Image Text:Given the Lagrangian density
L
1
-Fμv Fµv + [(Əª − iqAª)ø†][(îµ + iqõ)ø] — m² p¹6 – (6¹6)²,
-
(a) Find all the field equations.
(b) Suppose a U(1) transformation on the o-field leaves the Lagrangian in-
variant, calculate the conserved Noether current.
(c) Verify that a continuity equation exists for this Lagrangian.
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