Approaches to fundamental physics: an assessment of current theoretical ideas
Gespeichert in:
Format: | Buch |
---|---|
Sprache: | English |
Veröffentlicht: |
Berlin [u.a.]
Springer
2007
|
Schriftenreihe: | Lecture notes in physics
721 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Literaturangaben Weitere Ausgabe: Teilw. auch als Internetausg. |
Beschreibung: | XI, 422 S. graph. Darst. m |
ISBN: | 9783540711155 3540711155 |
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Datensatz im Suchindex
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---|---|
adam_text | Contents
Part I Introduction
Introduction
—
The Many-Fold Way of Contemporary
High Energy Theoretical Physics
E.
Seiler,
I.-O.
Starnateseli
........................................
З
1
Historical Remarks
........................................... 5
2
Systematic Considerations
..................................... 7
3
Conceptual Questions
......................................... 14
Part II Elementary Particle Theory
The Standard Model of Particle Physics
Я.
G. Dosch
..................................................... 21
1
Introduction
................................................. 21
2
The Development of the Standard Model
....................... 21
3
Systematic Description of the Standard Model
................... 29
4
Achievements and Deficiencies of the Standard Model
............. 37
5
Extrapolation to the Near Future
.............................. 46
6
Conclusion
.................................................. 48
Literature
....................................................... 49
Beyond the Standard Model
M. G. Schmidt
.................................................. 51
Selected References
............................................... 56
Part III Quantum Field Theory
Quantum Field Theory: Where We Are
K.
Fredenhagen.
Κ.-Η.
Rehren, and
E.
Seiler........................ 61
1
Introduction
................................................. 61
2
Axiomatic Approaches to QFT
................................. 62
VIII Contents
3
The Gauge Principle
.......................................... 67
4
The Field Concept
........................................... 69
5
The Perturbative Approach to QFT
............................ 71
6
The Constructive Approach to QFT
............................ 73
7
Effective Quantum Field Theories
.............................. 77
8
Gravity
..................................................... 79
9
Conclusions and Outlook
...................................... 84
References
...................................................... 85
Part IV General Relativity Theory
General Relativity
J. Ehlers
........................................................ 91
1
Introduction
................................................. 91
2
Basic Assumptions of GRT
.................................... 93
3
General Comments on the Structure of GRT
..................... 97
4
Theoretical Developments, Achievements and Problems in GRT
.... 99
Selected References
............................................... 103
Remarks on the Notions of General Covariance
and Background Independence
D. Giulini
.......................................................105
1
Introduction
.................................................105
2
Attempts to Define General Covariance
and/or Background Independence
..............................106
3
Conclusion
..................................................118
References
......................................................119
Part V Quantum Gravity
Why Quantum Gravity?
C.
Kiefer.......................................................123
References
......................................................130
The Canonical Approach to Quantum Gravity:
General Ideas and Geometrodynamics
D. Giulini and
С
Kiefer..........................................131
1
Introduction
.................................................131
2
The Initial-Value Formulation of GR
............................133
3
Why Constraints
.............................................134
4
Comparison with Conventional
Form of Einstein s Equations
..................................135
5
Canonical Gravity
............................................138
tì
The General Kinematics of Hvpersurface Deformations
............140
Contents
IX
7 Topological
Issues............................................
141
8 Geometrie
Issues.............................................
144
9 Quantum Geometrodynamics..................................145
10 Applications.................................................148
References
......................................................150
Loop and Spin Foam Quantum Gravity:
A Brief Guide for Beginners
H.
Nicolai
and K. Peelers
.........................................151
1
Quantum Einstein Gravity
....................................151
2
The Kinematical Hubert Space of LQG
.........................154
3
Area, Volume, and the Hamiltonian
.............................157
4
Implementation of the Constraints
..............................160
5
Quantum Space-Time Covariance?
..............................164
6
Canonical Gravity and Spin Foams
.............................167
7
Spin Foam Models: Some Basic Features
........................171
8
Spin Foams and Discrete Gravity
...............................175
9
Predictive (Finite) Quantum Gravity?
..........................178
References
......................................................180
Loop Quantum Gravity: An Inside View
T. Thiemann
....................................................185
1
Introduction
.................................................185
2
Classical Preliminaries
........................................189
3
Canonical Quantisation Programme
............................193
4
Status of the Quantisation Programme for Loop
Quantum Gravity (LQG)
......................................198
5
Physical Applications
.........................................236
6
Conclusions and Outlook
......................................244
References
......................................................254
Quantum Einstein Gravity: Towards an Asymptotically
Safe Field Theory of Gravity
O.
Lauscher
and M.
Reuter.......................................265
1
Introduction
.................................................265
2
Asymptotic Safety
............................................266
3
RG Flow of the Effective Average Action
........................268
4
Scale-Dependent Metrics and the Resolution
Function £(k)
................................................272
5
Microscopic Structure of the QEG
Spacetimes ...................276
6
The Spectral Dimension
.......................................279
7
Concluding Remarks
..........................................283
References
......................................................283
X
Contents
Part VI String Theory
String Theory: An Overview
J. Louis, T. Mohaupt, and S. Theisen
..............................289
1
Introduction
.................................................289
2
Beyond the Standard Model
...................................290
3
The Free String
..............................................293
4
The Interacting String
........................................297
5
Compactification
.............................................299
6
Duality and M-Theory
........................................302
7
AdS/CFT
...................................................305
8
Black-Hole Entropy
...........................................309
9
Approaches to Phenomenology
.................................315
10
Open Questions
..............................................319
11
Some Concluding Remarks
....................................321
Selected References
...............................................322
Part
VII
Cosmology
Dark Energy
N.
Straumann
...................................................327
1
Introduction
.................................................327
2
Einstein s Original Motivation of the
Л
-Term
....................
328
3
From Static to Expanding World Models
........................330
4
The Mystery of the
A-Problem
.................................334
5
Luminosity-Redshift Relation for Type la
Supernovae.............340
6
Microwave Background Anisotropies
............................349
7
Observational Results and Cosmological Parameters
..............355
8
Alternatives to Dark Energy
...................................359
A Essentials of
Friedmann-Lemaître
Models
.......................366
В
Thermal History below
100
MeV
...............................374
С
Inflation and Primordial Power Spectra
.........................379
D
Quintessence Models
..........................................391
References
......................................................393
Appendix
K.-H. Rehren and E.
Seiler........................................399
1
Quantum Theory
.............................................
Здд
2
Field Theory
.................................................400
Contents
XI
3
Gauge Theory
...............................................401
4
The Standard Model
..........................................402
5
Symmetries
..................................................403
6
Spacetime and General Relativity
..............................404
Glossary
K.-H. Rehren, E.
Seiler,
and I.-O. Stamatescu
......................407
Index
..........................................................415
|
adam_txt |
Contents
Part I Introduction
Introduction
—
The Many-Fold Way of Contemporary
High Energy Theoretical Physics
E.
Seiler,
I.-O.
Starnateseli
.
З
1
Historical Remarks
. 5
2
Systematic Considerations
. 7
3
Conceptual Questions
. 14
Part II Elementary Particle Theory
The Standard Model of Particle Physics
Я.
G. Dosch
. 21
1
Introduction
. 21
2
The Development of the Standard Model
. 21
3
Systematic Description of the Standard Model
. 29
4
Achievements and Deficiencies of the Standard Model
. 37
5
Extrapolation to the Near Future
. 46
6
Conclusion
. 48
Literature
. 49
Beyond the Standard Model
M. G. Schmidt
. 51
Selected References
. 56
Part III Quantum Field Theory
Quantum Field Theory: Where We Are
K.
Fredenhagen.
Κ.-Η.
Rehren, and
E.
Seiler. 61
1
Introduction
. 61
2
Axiomatic Approaches to QFT
. 62
VIII Contents
3
The Gauge Principle
. 67
4
The Field Concept
. 69
5
The Perturbative Approach to QFT
. 71
6
The Constructive Approach to QFT
. 73
7
Effective Quantum Field Theories
. 77
8
Gravity
. 79
9
Conclusions and Outlook
. 84
References
. 85
Part IV General Relativity Theory
General Relativity
J. Ehlers
. 91
1
Introduction
. 91
2
Basic Assumptions of GRT
. 93
3
General Comments on the Structure of GRT
. 97
4
Theoretical Developments, Achievements and Problems in GRT
. 99
Selected References
. 103
Remarks on the Notions of General Covariance
and Background Independence
D. Giulini
.105
1
Introduction
.105
2
Attempts to Define General Covariance
and/or Background Independence
.106
3
Conclusion
.118
References
.119
Part V Quantum Gravity
Why Quantum Gravity?
C.
Kiefer.123
References
.130
The Canonical Approach to Quantum Gravity:
General Ideas and Geometrodynamics
D. Giulini and
С
Kiefer.131
1
Introduction
.131
2
The Initial-Value Formulation of GR
.133
3
Why Constraints
.134
4
Comparison with Conventional
Form of Einstein's Equations
.135
5
Canonical Gravity
.138
tì
The General Kinematics of Hvpersurface Deformations
.140
Contents
IX
7 Topological
Issues.
141
8 Geometrie
Issues.
144
9 Quantum Geometrodynamics.145
10 Applications.148
References
.150
Loop and Spin Foam Quantum Gravity:
A Brief Guide for Beginners
H.
Nicolai
and K. Peelers
.151
1
Quantum Einstein Gravity
.151
2
The Kinematical Hubert Space of LQG
.154
3
Area, Volume, and the Hamiltonian
.157
4
Implementation of the Constraints
.160
5
Quantum Space-Time Covariance?
.164
6
Canonical Gravity and Spin Foams
.167
7
Spin Foam Models: Some Basic Features
.171
8
Spin Foams and Discrete Gravity
.175
9
Predictive (Finite) Quantum Gravity?
.178
References
.180
Loop Quantum Gravity: An Inside View
T. Thiemann
.185
1
Introduction
.185
2
Classical Preliminaries
.189
3
Canonical Quantisation Programme
.193
4
Status of the Quantisation Programme for Loop
Quantum Gravity (LQG)
.198
5
Physical Applications
.236
6
Conclusions and Outlook
.244
References
.254
Quantum Einstein Gravity: Towards an Asymptotically
Safe Field Theory of Gravity
O.
Lauscher
and M.
Reuter.265
1
Introduction
.265
2
Asymptotic Safety
.266
3
RG Flow of the Effective Average Action
.268
4
Scale-Dependent Metrics and the Resolution
Function £(k)
.272
5
Microscopic Structure of the QEG
Spacetimes .276
6
The Spectral Dimension
.279
7
Concluding Remarks
.283
References
.283
X
Contents
Part VI String Theory
String Theory: An Overview
J. Louis, T. Mohaupt, and S. Theisen
.289
1
Introduction
.289
2
Beyond the Standard Model
.290
3
The Free String
.293
4
The Interacting String
.297
5
Compactification
.299
6
Duality and M-Theory
.302
7
AdS/CFT
.305
8
Black-Hole Entropy
.309
9
Approaches to Phenomenology
.315
10
Open Questions
.319
11
Some Concluding Remarks
.321
Selected References
.322
Part
VII
Cosmology
Dark Energy
N.
Straumann
.327
1
Introduction
.327
2
Einstein's Original Motivation of the
Л
-Term
.
328
3
From Static to Expanding World Models
.330
4
The Mystery of the
A-Problem
.334
5
Luminosity-Redshift Relation for Type la
Supernovae.340
6
Microwave Background Anisotropies
.349
7
Observational Results and Cosmological Parameters
.355
8
Alternatives to Dark Energy
.359
A Essentials of
Friedmann-Lemaître
Models
.366
В
Thermal History below
100
MeV
.374
С
Inflation and Primordial Power Spectra
.379
D
Quintessence Models
.391
References
.393
Appendix
K.-H. Rehren and E.
Seiler.399
1
Quantum Theory
.
Здд
2
Field Theory
.400
Contents
XI
3
Gauge Theory
.401
4
The Standard Model
.402
5
Symmetries
.403
6
Spacetime and General Relativity
.404
Glossary
K.-H. Rehren, E.
Seiler,
and I.-O. Stamatescu
.407
Index
.415 |
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series | Lecture notes in physics |
series2 | Lecture notes in physics |
spelling | Approaches to fundamental physics an assessment of current theoretical ideas Ion-Olimpiu Stamatescu ... (ed.) Berlin [u.a.] Springer 2007 XI, 422 S. graph. Darst. m txt rdacontent n rdamedia nc rdacarrier Lecture notes in physics 721 Literaturangaben Weitere Ausgabe: Teilw. auch als Internetausg. Física larpcal Physique Physics Theoretische Physik (DE-588)4117202-4 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Theoretische Physik (DE-588)4117202-4 s DE-604 Stamatescu, Ion-Olimpiu 1941- Sonstige (DE-588)1054303746 oth Lecture notes in physics 721 (DE-604)BV000003166 721 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016408255&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Approaches to fundamental physics an assessment of current theoretical ideas Lecture notes in physics Física larpcal Physique Physics Theoretische Physik (DE-588)4117202-4 gnd |
subject_GND | (DE-588)4117202-4 (DE-588)4143413-4 |
title | Approaches to fundamental physics an assessment of current theoretical ideas |
title_auth | Approaches to fundamental physics an assessment of current theoretical ideas |
title_exact_search | Approaches to fundamental physics an assessment of current theoretical ideas |
title_exact_search_txtP | Approaches to fundamental physics an assessment of current theoretical ideas |
title_full | Approaches to fundamental physics an assessment of current theoretical ideas Ion-Olimpiu Stamatescu ... (ed.) |
title_fullStr | Approaches to fundamental physics an assessment of current theoretical ideas Ion-Olimpiu Stamatescu ... (ed.) |
title_full_unstemmed | Approaches to fundamental physics an assessment of current theoretical ideas Ion-Olimpiu Stamatescu ... (ed.) |
title_short | Approaches to fundamental physics |
title_sort | approaches to fundamental physics an assessment of current theoretical ideas |
title_sub | an assessment of current theoretical ideas |
topic | Física larpcal Physique Physics Theoretische Physik (DE-588)4117202-4 gnd |
topic_facet | Física Physique Physics Theoretische Physik Aufsatzsammlung |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016408255&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV000003166 |
work_keys_str_mv | AT stamatescuionolimpiu approachestofundamentalphysicsanassessmentofcurrenttheoreticalideas |