日本語 English
| 開講年度/ Academic YearAcademic Year |
20242024 |
| 科目設置学部/ CollegeCollege |
理学研究科/Graduate School of ScienceGraduate School of Science |
| 科目コード等/ Course CodeCourse Code |
RA134/RA134RA134 |
| テーマ・サブタイトル等/ Theme・SubtitleTheme・Subtitle |
曲がった時空上の場の量子論 |
| 授業形態/ Class FormatClass Format |
対面（全回対面）/Face to face (all classes are face-to-face)Face to face (all classes are face-to-face) |
| 授業形態（補足事項）/ Class Format (Supplementary Items)Class Format (Supplementary Items) |
|
| 授業形式/ Class StyleCampus |
講義/LectureLecture |
| 校地/ CampusCampus |
池袋/IkebukuroIkebukuro |
| 学期/ SemesterSemester |
春学期/Spring SemesterSpring Semester |
| 曜日時限・教室/ DayPeriod・RoomDayPeriod・Room |
水3･D603/Wed.3･D603 Wed.3･D603 |
| 単位/ CreditCredit |
22 |
| 科目ナンバリング/ Course NumberCourse Number |
PHY7490 |
| 使用言語/ LanguageLanguage |
日本語/JapaneseJapanese |
| 履修登録方法/ Class Registration MethodClass Registration Method |
科目コード登録/Course Code RegistrationCourse Code Registration |
| 配当年次/ Grade (Year) RequiredGrade (Year) Required |
配当年次は開講学部のR Guideに掲載している科目表で確認してください。配当年次は開講学部のR Guideに掲載している科目表で確認してください。 |
| 先修規定/ prerequisite regulationsprerequisite regulations |
|
| 他学部履修可否/ Acceptance of Other CollegesAcceptance of Other Colleges |
履修登録システムの『他学部・他研究科履修不許可科目一覧』で確認してください。 |
| 履修中止可否/ course cancellationcourse cancellation |
－（履修中止制度なし/ No system for cancellation) |
| オンライン授業60単位制限対象科目/ Online Classes Subject to 60-Credit Upper LimitOnline Classes Subject to 60-Credit Upper Limit |
|
| 学位授与方針との関連/ Relationship with Degree PolicyRelationship with Degree Policy |
各授業科目は、学部・研究科の定める学位授与方針（DP）や教育課程編成の方針（CP）に基づき、カリキュラム上に配置されています。詳細はカリキュラム・マップで確認することができます。 |
| 備考/ NotesNotes |
LA134量子場特論と合同授業 |
| テキスト用コード/ Text CodeText Code |
RA134 |
We aim to understand the basics of quantum field theory in curved spacetime and learn its physical content. Furthermore, we aspire to grasp 'quantum field theory in curved spacetime' from the respective standpoints of particle physics, cosmology, and general relativity. Additionally, the goal is to acquire more advanced knowledge and skills than those covered in the previous course.
The quantum field theory in curved spacetime plays a significant role in understanding particle physics, cosmology, and theories of gravity. In particular, it is crucial for describing quantum phenomena in situations where the effects of gravity are pronounced, such as in Black Holes or expanding universes, and for understanding the quantum theory of gravity through concepts like AdS/CFT correspondence.
In this course, we will first understand the basics of quantum field theory on curved spacetime, including concepts and computational methods. We will then study specific phenomena such as quantum fluctuations in an expanding universe and particle creation in strong gravitational fields, like Hawking radiation.
If there is enough time, we will also cover topics such as the Trace Anomaly and field theories in AdS spacetime. The aim is to gain a deeper understanding of the quantum field theory in curved spacetime from the perspectives of particle physics, cosmology, and relativity, thereby comprehensively grasping 'quantum field theory in curved spacetime' from each of these standpoints.
※Please refer to Japanese Page for details including evaluations, textbooks and others.
曲がった時空に於ける場の量子論の基礎を理解し，その物理的な内容を学ぶ。 さらに、素粒子論、宇宙論、相対論に於ける各々の立場から‘‘曲がった時空に於ける場の量子論’’を捉えられることを目指す。 尚、前期課程よりも高度な知識・スキルを身に付けることを目標にする。
We aim to understand the basics of quantum field theory in curved spacetime and learn its physical content. Furthermore, we aspire to grasp 'quantum field theory in curved spacetime' from the respective standpoints of particle physics, cosmology, and general relativity. Additionally, the goal is to acquire more advanced knowledge and skills than those covered in the previous course.
曲がった時空に於ける場の量子論は，素粒子論、宇宙論や重力理論を理解する上で大きな役割を担う。特に、Black Hole時空や膨張宇宙といった重力の効果が顕著となる場合の量子論的現象を記述したり、AdS/CFT対応といった重力の量子論を理解するために重要な理論である。
この授業では，まず曲がった時空上での場の量子論の概念や計算方法などの基礎的事項を理解し，膨張宇宙での量子揺らぎやホーキング輻射など強重力場中での粒子生成といった具体的な現象について学ぶ。
さらに可能であれば、Trace AnomalyやAdS時空上での場の理論などにも触れる。曲がった時空に於ける場の量子論をより深く理解する為に、素粒子論、宇宙論、相対論に於ける各々の立場から‘‘曲がった時空に於ける場の量子論’’を捉えられることを目指す。
The quantum field theory in curved spacetime plays a significant role in understanding particle physics, cosmology, and theories of gravity. In particular, it is crucial for describing quantum phenomena in situations where the effects of gravity are pronounced, such as in Black Holes or expanding universes, and for understanding the quantum theory of gravity through concepts like AdS/CFT correspondence.
In this course, we will first understand the basics of quantum field theory on curved spacetime, including concepts and computational methods. We will then study specific phenomena such as quantum fluctuations in an expanding universe and particle creation in strong gravitational fields, like Hawking radiation.
If there is enough time, we will also cover topics such as the Trace Anomaly and field theories in AdS spacetime. The aim is to gain a deeper understanding of the quantum field theory in curved spacetime from the perspectives of particle physics, cosmology, and relativity, thereby comprehensively grasping 'quantum field theory in curved spacetime' from each of these standpoints.
| 1 | 導入 |
| 2 | 場の理論の復習 |
| 3 | 強制調和振動子 |
| 4 | 調和振動子から場へ |
| 5 | 古典場の復習 |
| 6 | 膨張宇宙での量子場 |
| 7 | Bogolyubov変換 |
| 8 | de Sitter宇宙での量子場 |
| 9 | Unruh効果 |
| 10 | Hawking輻射 |
| 11 | Black Hole熱力学 |
| 12 | 経路積分 |
| 13 | Trace Anomaly |
| 14 | 発展的事項 |
板書 /Writing on the Board
スライド（パワーポイント等）の使用 /Slides (PowerPoint, etc.)
上記以外の視聴覚教材の使用 /Audiovisual Materials Other than Those Listed Above
個人発表 /Individual Presentations
グループ発表 /Group Presentations
ディスカッション・ディベート /Discussion/Debate
実技・実習・実験 /Practicum/Experiments/Practical Training
学内の教室外施設の利用 /Use of On-Campus Facilities Outside the Classroom
校外実習・フィールドワーク /Field Work
上記いずれも用いない予定 /None of the above
輪読形式で行うため，発表担当者は事前の予習を必須とする。
| 種類 (Kind) | 割合 (%) | 基準 (Criteria) |
|---|---|---|
| 平常点 (In-class Points) | 100 |
授業態度(35%) 発表回数(35%) 発表・質問・議論の内容(30%) |
| 備考 (Notes) | ||
| LA134量子場特論と合同授業<BR>すべての評価方法において高度な達成水準を要求する | ||
| No | 著者名 (Author/Editor) | 書籍名 (Title) | 出版社 (Publisher) | 出版年 (Date) | ISBN/ISSN |
|---|---|---|---|---|---|
| 1 | V. F. Mukhanov, S. Winitzki | Introduction to Quantum effects in Gravity | Cambridge University Press | 2007 | 978052186834112 |
| No | 著者名 (Author/Editor) | 書籍名 (Title) | 出版社 (Publisher) | 出版年 (Date) | ISBN/ISSN |
|---|---|---|---|---|---|
| 1 | Bryce. S. De Witt | Quantum field theory in curved spacetime | ELSEVIER | 1975 | |
| 2 | Fiorenzo Bastianelli, Peter van Nieuwenhuizen | Path Integrals and Anomalies in Curved Space | Cambrige University Press | 2009 | 0521120500 |
| 3 | N. D. Birrell, P. C. W. Davies | Quantum Fields in Curved Space | Cambrige University Press | 1984 | 0521278589 |
| その他 (Others) | |||||
| 適宜、内容に応じて参考文献のテキストを扱う | |||||