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The $\mathscr{P}(\varphi)_2$ Model on de Sitter Space
| Softcover ISBN: | 978-1-4704-5548-4 |
| Product Code: | MEMO/281/1389 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-7322-8 |
| Product Code: | MEMO/281/1389.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-5548-4 |
| eBook: ISBN: | 978-1-4704-7322-8 |
| Product Code: | MEMO/281/1389.B |
| List Price: | $170.00 $127.50 |
| MAA Member Price: | $153.00 $114.75 |
| AMS Member Price: | $136.00 $102.00 |
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The $\mathscr{P}(\varphi)_2$ Model on de Sitter Space
| Softcover ISBN: | 978-1-4704-5548-4 |
| Product Code: | MEMO/281/1389 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-7322-8 |
| Product Code: | MEMO/281/1389.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-5548-4 |
| eBook ISBN: | 978-1-4704-7322-8 |
| Product Code: | MEMO/281/1389.B |
| List Price: | $170.00 $127.50 |
| MAA Member Price: | $153.00 $114.75 |
| AMS Member Price: | $136.00 $102.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 281; 2023; 261 ppMSC: Primary 81; Secondary 22; 47
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Table of Contents
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Chapters
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List of Symbols
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Preface
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1. De Sitter space
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1. De Sitter space as a Lorentzian manifold
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2. Space-time symmetries
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3. Induced representations for the Lorentz group
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4. Harmonic analysis on the hyperboloid
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2. Free quantum fields
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5. Classical field theory
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6. Quantum one-particle structures
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7. Local algebras for the free field
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3. Interacting quantum fields
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8. The interacting vacuum
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9. The interacting representation of $SO(1,2)$
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10. Local algebras for the interacting field
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11. The equations of motion and the stress-energy tensor
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12. Summary
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A. A local flat tube theorem
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B. One particle structures
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C. Sobolev spaces on the circle and on the sphere
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D. Some identities involving Legendre functions
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
Volume: 281; 2023; 261 pp
MSC: Primary 81; Secondary 22; 47
-
Chapters
-
List of Symbols
-
Preface
-
1. De Sitter space
-
1. De Sitter space as a Lorentzian manifold
-
2. Space-time symmetries
-
3. Induced representations for the Lorentz group
-
4. Harmonic analysis on the hyperboloid
-
2. Free quantum fields
-
5. Classical field theory
-
6. Quantum one-particle structures
-
7. Local algebras for the free field
-
3. Interacting quantum fields
-
8. The interacting vacuum
-
9. The interacting representation of $SO(1,2)$
-
10. Local algebras for the interacting field
-
11. The equations of motion and the stress-energy tensor
-
12. Summary
-
A. A local flat tube theorem
-
B. One particle structures
-
C. Sobolev spaces on the circle and on the sphere
-
D. Some identities involving Legendre functions
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.