CD Tesis
Transformasi Gauge Dari Chern-Simons-Antoniadis-Savvidy Forms
This thesis analyze the closed forms of Yang-Mills theory, exact and metric independent forms of gauge invariant which related to invariant polynomials and fields strength tensor-curvature forms. Furthermore, the characteristic of invariant can be used to generalize the Chern-Weil theorem to construct the gauge invariant transgression dimension of the form (2n+2). This generalization is known as "Chern-Simons-Antoniadis-Savvidy forms (ChSAS)"
The extended Cartan homotopy formula has been used to extend the gauge transformation Chern-Simons forms. Furthermore, this method is applied to find chess forms in the extended Cartan homotopy formula with a differential geometry approach. Then the Cartan homotopy formula of ChSAS forms is used to determine the extension of the gauge transformation ChSAS forms. This method will be applied to show proof anomaly that have been found out by Zumino as in the Chern-Simons theory (2n+1).
The extended Cartan homotopy fomula derived from ChSAS forms shows changes in each result present the pseudo-invariance properties. Furthermore the results of the initial calculation ChSAS forms shows a singlet anomaly. These results that shows a correspond to with the Chern-Simon forms theory. Then the results of the final calculation of the ChSAS forms under gauge transformation provieds a connection with Zumino's anomaly which present anomalous variations that dependent on p and n. From the calculations it was found that mathematical construction model fulfilling Wess-Zumino's condition is obtained without evaluation of the Feyman diagram. This result similar to the interpretation from the result of Frampton and Kephart on the extension of the Chern-Weil theorem.
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