Bose-Fermi transmutation in 3-dimensional relativistic quantum theories 3次元相対論的量子論におけるボーズ・フェルミ変質
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Bibliographic Information
- Title
-
Bose-Fermi transmutation in 3-dimensional relativistic quantum theories
- Other Title
-
3次元相対論的量子論におけるボーズ・フェルミ変質
- Author
-
向田, 寿光
- Author(Another name)
-
ムカイダ, ヒサミツ
- University
-
東京工業大学
- Types of degree
-
理学博士
- Grant ID
-
甲第2241号
- Degree year
-
1991-03-26
Note and Description
博士論文
identifier:oai:t2r2.star.titech.ac.jp:50348594
Table of Contents
- 論文目録 / (0002.jp2)
- Contents / p1 (0005.jp2)
- 1 Introduction / p3 (0006.jp2)
- 2 Path-integral representation of partition functions and free energies / p11 (0014.jp2)
- 2.1 A scalar field / p11 (0014.jp2)
- 2.2 A Dirac field / p24 (0027.jp2)
- 2.3 Propagators / p35 (0038.jp2)
- 3 Self-energy in Chern-Simons gauge field and the spin factor / p39 (0042.jp2)
- 3.1 Particles coupled to C.S.field / p39 (0042.jp2)
- 3.2 Relative energy / p41 (0044.jp2)
- 3.3 Self-energy / p42 (0045.jp2)
- 3.4 The relationship between the spin factor and the selfenergy / p45 (0048.jp2)
- 4 Bose-Fermi Transmutation / p51 (0054.jp2)
- 4.1 Free energies in an external field / p52 (0055.jp2)
- 4.2 Equivalence of partition functions / p58 (0061.jp2)
- 4.3 Extension to a non-abelian external field / p60 (0063.jp2)
- 4.4 Remarks / p62 (0065.jp2)
- 5 Conclusion / p65 (0068.jp2)
- Acknowledgments / p67 (0070.jp2)
- A On the one-dimensional general coordinate transformation / p68 (0071.jp2)
- B Computation of the determinant / p73 (0076.jp2)
- C On the Coherent states / p76 (0079.jp2)
- C.1 IThe properties of SU(2) Coherent states / p76 (0079.jp2)
- C.2 SU(N) Coherent States / p79 (0082.jp2)
- D The propagator of the Chern-Simons gauge field / p80 (0083.jp2)
- References / p83 (0086.jp2)
