This preview shows pages 1–5. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: auge Invariance and Gauge Invariance and Conserved Quantities Noether's theorem was proven by German mathematician, Emmy Noether in 1915 and ublished 918 oether's eorem as ecome published in 1918. Noether s theorem has become a fundamental tool of quantum field theory and has been called "one of the most important mathematical theorems ever proved in guiding the development of modern physics". Amalie Emmy Noether 18821935 Consider the charged scalar field, and the following transformation on , where is a constant. =1 Now suppose that can be varied continuously so that we have an infinite number of small, continuous for which exp(i ) = and L L. The set of all these transformations, U = exp(i ), form a group of operators. It is called U(1) , a unitary group (because U * U = 1 ) Here the Hermitian conjugate is the complex conjugate because U is not a matrix. Now, we have a more astounding result: we can vary the (complex) phase...
View
Full
Document
 Spring '08
 Hale,B
 Physics, Quantum Field Theory

Click to edit the document details