"Current algebra and anomalies in gauge field theory"의 두 판 사이의 차이

2015년 3월 12일 (목) 18:59 판

$$ [I_{\alpha},I_{\beta}]=c_{\alpha \beta \gamma}I_{\gamma} $$

the generators, in turn, are given by the integral over the time-component of the currents

$$ I_{\alpha}=\int d^3x J_{0,\alpha}(x) $$

from these equations one obtains the equal-time commutation relation of the currents

$$ [J_{0,\alpha}(\mathbf{x}),J_{0,\beta}(\mathbf{y})]=c_{\alpha \beta \gamma} J_{0,\alpha}(\mathbf{x})\delta(\mathbf{x}-\mathbf{y}) $$

[Pietschmann2011] Pietschmann, Herbert. “On the Early History of Current Algebra.” The European Physical Journal H 36, no. 1 (July 2011): 75–84. doi:10.1140/epjh/e2011-20013-0.
Weinberg, Steven. “Effective Field Theory, Past and Future.” arXiv:0908.1964 [gr-Qc, Physics:hep-Ph, Physics:hep-Th, Physics:physics], August 13, 2009. http://arxiv.org/abs/0908.1964.
O’Raifeartaigh, L. ‘The Intertwining of Affine Kac–moody and Current Algebras’. International Journal of Modern Physics B 13, no. 24n25 (10 October 1999): 3009–20. doi:10.1142/S0217979299002824.
Treiman, Sam, Roman Jackiw, and David J. Gross. Lectures on Current Algebra and Its Applications. Princeton University Press, 2015. http://www.worldscientific.com/worldscibooks/10.1142/0131
http://isites.harvard.edu/fs/docs/icb.topic1146666.files/IV-6-Anomalies.pdf
Abel, Anomalies

Alekseev, Anton, and Thomas Strobl. “Current Algebras and Differential Geometry.” Journal of High Energy Physics 2005, no. 03 (March 15, 2005): 035–035. doi:10.1088/1126-6708/2005/03/035.
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@@ 15번째 줄: / 15번째 줄: @@
 * See [Pietschmann2011] and [[QCD and quarks]] for more
+==encyclopedia==
+* http://en.wikipedia.org/wiki/Chiral_anomaly