String theory: 1 An introduction to the Bosonic string
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2007
|
Ausgabe: | Reprinted with corr., paperback ed., transferred to digital printing |
Schriftenreihe: | Cambridge monographs on mathematical physics
|
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XIX, 402 S. graph. Darst. |
ISBN: | 9780521672276 |
Internformat
MARC
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245 | 1 | 0 | |a String theory |n 1 |p An introduction to the Bosonic string |c Joseph Polchinski |
250 | |a Reprinted with corr., paperback ed., transferred to digital printing | ||
264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2007 | |
300 | |a XIX, 402 S. |b graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 0 | |a Cambridge monographs on mathematical physics | |
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Datensatz im Suchindex
_version_ | 1804136656448520192 |
---|---|
adam_text | Contents
Foreword
xiii
Preface
xv
Notation
xviii
1
Λ
first look at strings
1
1.1
Why strings?
1
1.2
Action principles
9
1.3
The open string spectrum
16
1.4
Closed and unoriented strings
25
Exercises
30
2
Conformai
field theory
32
2.1
Massless scalars in two dimensions
32
2.2
The operator product expansion
36
2.3
Ward identities and Noether s theorem
41
2.4
Conformai invariance
43
2.5
Free CFTs
49
2.6
The Virasoro algebra
52
2.7
Mode expansions
58
2.8
Vertex operators
63
2.9
More on states and operators
68
Exercises
74
3
The Polyakov path integral
77
3.1
Sums over world-sheets
77
3.2
The Polyakov path integral
82
3.3
Gauge fixing
84
3.4
The Weyl anomaly
90
3.5
Scattering amplitudes
97
3.6
Vertex operators
101
ix
x
Contents
3.7
Strings in curved spacetime
Ю8
Exercises °
4
The string spectrum
21
4.1
Old covariant quantization
121
4.2
BRST
quantization 126
4.3
BRST
quantization of the string
131
4.4
The no-ghost theorem
137
Exercises
143
5
The string S-matrix I45
5.1
The circle and the torus
145
5.2
Moduli and Riemann surfaces
150
5.3
The measure for moduli
154
5.4
More about the measure
159
Exercises
1^4
6
Tree-level amplitudes
166
6.1
Riemann surfaces
166
6.2
Scalar expectation values
169
6.3
The be CFT
176
6.4
The
Veneziano
amplitude
178
6.5
Chan-Paton factors and gauge interactions
184
6.6
Closed string tree amplitudes
192
6.7
General results I98
Exercises
204
7
One-loop amplitudes
206
7.1
Riemann surfaces
206
7.2
CFT on the torus
208
7.3
The torus amplitude
216
7.4
Open and unoriented one-loop graphs
222
Exercises
229
8
Toroidal compactification and T-duality
231
8.1
Toroidal compactification in field theory
231
8.2
Toroidal compactification in CFT
235
8.3
Closed strings and T-duality
241
8.4
Compactification of several dimensions
249
8.5
Orbifolds
256
8.6
Open strings
263
8.7
D-branes
268
8.8
T-duality of unoriented theories
277
Exercises
280
Contents xi
9 Higher
order amplitudes
283
9.1 General
tree-level amplitudes
283
9.2
Higher genus Riemann surfaces
290
9.3
Sewing and cutting world-sheets
294
9.4
Sewing and cutting CFTs
300
9.5
General amplitudes
305
9.6
String field theory
310
9.7
Large order behavior
315
9.8
High energy and high temperature
317
9.9
Low dimensions and noncritical strings
322
Exercises
327
Appendix A: A short course on path integrals
329
A.I Bosonic fields
329
A.2 Fermionic fields
341
Exercises
345
References
347
Glossary
359
Index
389
|
adam_txt |
Contents
Foreword
xiii
Preface
xv
Notation
xviii
1
Λ
first look at strings
1
1.1
Why strings?
1
1.2
Action principles
9
1.3
The open string spectrum
16
1.4
Closed and unoriented strings
25
Exercises
30
2
Conformai
field theory
32
2.1
Massless scalars in two dimensions
32
2.2
The operator product expansion
36
2.3
Ward identities and Noether's theorem
41
2.4
Conformai invariance
43
2.5
Free CFTs
49
2.6
The Virasoro algebra
52
2.7
Mode expansions
58
2.8
Vertex operators
63
2.9
More on states and operators
68
Exercises
74
3
The Polyakov path integral
77
3.1
Sums over world-sheets
77
3.2
The Polyakov path integral
82
3.3
Gauge fixing
84
3.4
The Weyl anomaly
90
3.5
Scattering amplitudes
97
3.6
Vertex operators
101
ix
x
Contents
3.7
Strings in curved spacetime
Ю8
Exercises "°
4
The string spectrum
'21
4.1
Old covariant quantization
121
4.2
BRST
quantization 126
4.3
BRST
quantization of the string
131
4.4
The no-ghost theorem
137
Exercises
143
5
The string S-matrix I45
5.1
The circle and the torus
145
5.2
Moduli and Riemann surfaces
150
5.3
The measure for moduli
154
5.4
More about the measure
159
Exercises
1^4
6
Tree-level amplitudes
166
6.1
Riemann surfaces
166
6.2
Scalar expectation values
169
6.3
The be CFT
176
6.4
The
Veneziano
amplitude
178
6.5
Chan-Paton factors and gauge interactions
184
6.6
Closed string tree amplitudes
192
6.7
General results I98
Exercises
204
7
One-loop amplitudes
206
7.1
Riemann surfaces
206
7.2
CFT on the torus
208
7.3
The torus amplitude
216
7.4
Open and unoriented one-loop graphs
222
Exercises
229
8
Toroidal compactification and T-duality
231
8.1
Toroidal compactification in field theory
231
8.2
Toroidal compactification in CFT
235
8.3
Closed strings and T-duality
241
8.4
Compactification of several dimensions
249
8.5
Orbifolds
256
8.6
Open strings
263
8.7
D-branes
268
8.8
T-duality of unoriented theories
277
Exercises
280
Contents xi
9 Higher
order amplitudes
283
9.1 General
tree-level amplitudes
283
9.2
Higher genus Riemann surfaces
290
9.3
Sewing and cutting world-sheets
294
9.4
Sewing and cutting CFTs
300
9.5
General amplitudes
305
9.6
String field theory
310
9.7
Large order behavior
315
9.8
High energy and high temperature
317
9.9
Low dimensions and noncritical strings
322
Exercises
327
Appendix A: A short course on path integrals
329
A.I Bosonic fields
329
A.2 Fermionic fields
341
Exercises
345
References
347
Glossary
359
Index
389 |
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author | Polchinski, Joseph Gerard 1954-2018 |
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institution | BVB |
isbn | 9780521672276 |
language | English |
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physical | XIX, 402 S. graph. Darst. |
publishDate | 2007 |
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publisher | Cambridge Univ. Press |
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series2 | Cambridge monographs on mathematical physics |
spelling | Polchinski, Joseph Gerard 1954-2018 Verfasser (DE-588)13813247X aut String theory 1 An introduction to the Bosonic string Joseph Polchinski Reprinted with corr., paperback ed., transferred to digital printing Cambridge [u.a.] Cambridge Univ. Press 2007 XIX, 402 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge monographs on mathematical physics (DE-604)BV012253164 1 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015748729&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Polchinski, Joseph Gerard 1954-2018 String theory |
title | String theory |
title_auth | String theory |
title_exact_search | String theory |
title_exact_search_txtP | String theory |
title_full | String theory 1 An introduction to the Bosonic string Joseph Polchinski |
title_fullStr | String theory 1 An introduction to the Bosonic string Joseph Polchinski |
title_full_unstemmed | String theory 1 An introduction to the Bosonic string Joseph Polchinski |
title_short | String theory |
title_sort | string theory an introduction to the bosonic string |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015748729&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV012253164 |
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