Abstract
I introduce spin in field theory by emphasizing the close connection between quantum field theory and quantum mechanics. First, I show that the spinstatistics connection can be derived in quantum mechanics without relativity or field theory. Then, I discuss path integrals for spin without using spinors. Finally, I show how spin can be quantized in a path-integral approach, without introducing anticommuting variables.
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References
See e.g. R. Jackiw: Topological Investigations of Quantized Gauge Theories, in: S. Trieman, R. Jackiw, B. Zumino and E. Witten, Current Algebra and Anomalies, (World Scientific, Singapore 1985) pp. 211–361
See e.g. W.I. Fushchich, A.G. Nikitin: Symmetries of Equations of Quantum Mechanics (Allerton, New York, 1994)
M. G. Laidlaw and C. M. DeWitt, Phys. Rev. D 3, 1375 (1971)
See e.g. S. Forte, Rev. Mod. Phys. 64, 193 (1992)
H. B. Nielsen and D. Rohrlich, Nucl. Phys. B 299, 471 (1988)
K. Johnson, Annals Phys. 192, 104 (1989)
L. D. Faddeev and R. Jackiw, Phys. Rev. Lett. 60, 1692 (1988)
A. M. Polyakov, Gauge Field and Strings, (Harwood, 1987); Two-Dimensional Quantum Gravity. Superconductivity At High T c , in: Fields, Strings and Critical Phenomena, E. Brézin and J. Zinn-Justin, eds. (North-Holland, 1990) pp. 305–368
P. B. Wiegmann, Nucl. Phys. B 323, 311 (1989)
R. P. Feynman and A. R Hibbs, Quantum Mechanics and Path Integrals, (McGraw-Hill, 1965)
T. Jaroszewicz and P. S. Kurzepa, Annals Phys. 210, 255 (1991)
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Forte, S. (2007). Spin in Quantum Field Theory. In: Pötz, W., Hohenester, U., Fabian, J. (eds) Modern Aspects of Spin Physics. Lecture Notes in Physics, vol 712. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-38592-4_3
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DOI: https://doi.org/10.1007/3-540-38592-4_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-38590-5
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