Structure of meson propagators in the relativistic many body problem 相対論的多体問題における中間子伝播関数の構造
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Bibliographic Information
- Title
-
Structure of meson propagators in the relativistic many body problem
- Other Title
-
相対論的多体問題における中間子伝播関数の構造
- Author
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田中, 和廣
- Author(Another name)
-
タナカ, カズヒロ
- University
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東京大学
- Types of degree
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理学博士
- Grant ID
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甲第8882号
- Degree year
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1991-03-29
Note and Description
博士論文
Table of Contents
- Contents / p1 (0003.jp2)
- 1 Introduction / p3 (0004.jp2)
- 2 General properties of the meson propagators / p9 (0007.jp2)
- 2.1 Renormalization group relations for the meson propagators at finite density / p9 (0007.jp2)
- 2.2 Criterion for the existence of ghost pole / p15 (0010.jp2)
- 2.3 Low energy behaviour of the meson propagators / p17 (0011.jp2)
- 2.4 1-loop example in the σ ― ω model / p18 (0012.jp2)
- 3 Källén-Lehmann representation and elimination of the Lan-dau ghost / p20 (0013.jp2)
- 3.1 Redmond's method for the calculation of the propagator / p20 (0013.jp2)
- 3.2 Extension of Redmond's method to the field theory at finite density / p23 (0014.jp2)
- 4 Construction of the effective action / p28 (0017.jp2)
- 4.1 General properties of the effective action and incorporation of the modified propagator / p28 (0017.jp2)
- 4.2 Calculation of the modified effective action in the 1-loop approximation / p33 (0019.jp2)
- 5 Application to the electromagnetic response function / p40 (0023.jp2)
- 5.1 Introduction to section 5 / p40 (0023.jp2)
- 5.2 Response function in the generalized vector meson dominance model / p42 (0024.jp2)
- 5.3 Calculation of the RPA Coulomb response function in nuclear matter / p45 (0025.jp2)
- 5.4 Calculation of the Coulomb response function in finite nuclei. / p51 (0028.jp2)
- 5.5 Summary of section 5 / p61 (0033.jp2)
- 6 Energy density of nuclear matter including higher orders / p63 (0034.jp2)
- 6.1 Introduction to section 6 / p63 (0034.jp2)
- 6.2 Loop expansion and the energy density of nuclear matter in the 2-loop approximation / p65 (0035.jp2)
- 6.3 1/N expansion / p69 (0037.jp2)
- 6.4 Energy density of nuclear matter in the 1/N expansion / p77 (0041.jp2)
- 6.5 Summary of section 6 / p101 (0053.jp2)
- 7 Conclusions / p104 (0055.jp2)
- A Renormalization group relations with respect to μ² / p106 (0056.jp2)
- B Analytic structure of the meson propagators from the dispersion relation of the self energy / p107 (0056.jp2)
- C Explicit formulae for 1-loop meson propagators / p108 (0057.jp2)
- D Renormalization of the effective action / p111 (0058.jp2)
- E Explicit formulae for the calculation of continuum RPA Coulomb response function / p113 (0059.jp2)