| 摘要(英) |
This thesis investigates the application of bosonization to the Schwinger model and charged black holes in 1+1-dimensional spacetime. Bosonization, a powerful mathematical technique, simplifies fermionic theories into bosonic ones, providing a more accessible framework for complex problem-solving. Initially, we delve into the fundamental theories of fermions and bosons in flat 1+1-dimensional spacetime, establishing a fermion-boson dictionary. The Schwinger model, describing the interaction between fermions and an electromagnetic field via bosonic fields, is then explored, extending from flat to curved spacetime. This extension allows for the examination of Schwinger pair production in the context of charged black holes. The implications of bosonization are further analyzed from both classical and semiclassical perspectives, particularly focusing on the interaction between charged black holes and the Schwinger effect. The study aims to enhance our understanding of Hawking radiation and pair production near the event horizons of Reissner-Nordström black holes, highlighting the significance of bosonization in theoretical physics. |
| 參考文獻 |
[1] J. Kogut, “Supplemental Lecture 21: Bosonization in 1+1 Dimensions and Solving the Schwinger Model.”
[2] R. Shankar, “Bosonization I: The Fermion–Boson Dictionary.”, Cambridge University, 319-333. (2017)
[3] J. Falkenbach, “Solving the Dirac Equation in a Two-Dimensional Spacetime Background with a Kink”, Massachusetts Institute of Technology, Dept. of Physics (2005)
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[7] J. Kogut, “Supplemental Lecture 20: The Chiral Anomaly and the Dirac Sea.”
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[9] C. J. Hamer, J. Kogut, D. P. Crewther, and M. M.Mazzolini, “The massive schwinger model on a lat-tice: Background field, chiral symmetry and thestring tension,” Nucl. Phys. B, 208, p. 413, 1982.
[10] C. M. Naón, “Abelian and non-Abelian bosonization in the path-integral framework”, Phys. Rev. D 31, 2035-2044 (1985).
[11] J. P. Éboli, “Abelian bosonization in curved space”, Phys. Rev. D 36, 2048 (1987).
[12] A.V. Frolov, K.R. Kristjánsson, and L.Thorlacius, “Global geometry of two-dimensional charged black holes”, Phys. Rev. D 73 (2006).
[13] S.B. Giddings, W.M. Nelson, “Quantum Emission from Two-Dimensional Black Holes”, Phys. Rev. D 46 (1992).
[14] B. Birnir, S. B. Giddings, J. A. Harvey, and A. Strominger, “Quantum black holes”, Phys. Rev. D 46, 638 (1992), hep-th/9203042. |
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