Foundations of perturbative QCD:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge University Press
2011
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Cambridge monographs on particle physics, nuclear physics and cosmology
32 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Serientitel nur auf dem Umschlag Hier auch später erschienene, unveränderte Nachdrucke |
| Beschreibung: | X, 624 S. graph. Darst. |
| ISBN: | 9780521855334 0521855330 9781009401821 |
Internformat
MARC
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| 100 | 1 | |a Collins, John C. |d 1949- |e Verfasser |0 (DE-588)140756515 |4 aut | |
| 245 | 1 | 0 | |a Foundations of perturbative QCD |c John Collins |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge University Press |c 2011 | |
| 300 | |a X, 624 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Cambridge monographs on particle physics, nuclear physics and cosmology |v 32 | |
| 500 | |a Serientitel nur auf dem Umschlag | ||
| 500 | |a Hier auch später erschienene, unveränderte Nachdrucke | ||
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| 830 | 0 | |a Cambridge monographs on particle physics, nuclear physics and cosmology |v 32 |w (DE-604)BV005321866 |9 32 | |
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Datensatz im Suchindex
| _version_ | 1804143801312215040 |
|---|---|
| adam_text | Contents
Acknowledgments
1
Introduction
1.1
Factorization and high-energy collisions
1.2
Why we trust QCD is correct
1.3
Notation
1.4
Problems and exercises
2
Why QCD?
2.1
QCD: statement of the theory
2.2
Development of QCD
2.3
Deeply inelastic scattering
2.4
Parton
model
2.5
Asymptotic freedom
2.6
Justification of QCD
2.7
QCD in the full Standard Model
2.8
Beyond the Standard Model
2.9
Relation between fields and particles
Exercises
3
Basics of QCD
3.1
Quantization
3.2
Renormalization
3.3
Renormalization counterterms of QCD
3.4
Meaning of unit of mass, renormalization scale
3.5
Renormalization group
3.6
Solution of RG equations
3.7
Values of RG coefficients
3.8
Symmetries and approximate symmetries of QCD
3.9
Dealing with quark masses
page
хи
1
3
6
6
7
10
16
23
28
29
31
32
33
34
36
36
39
45
48
51
54
58
60
62
vi
Contents
ЗЛО С
WZ (
АСОТ)
method for heavy quarks
64
3.11
Relating CWZ subschemes with
différent
numbers of active quarks
66
Exercises
67
4
Infra-red safety and non-safety
69
4.1
e+e~ total cross section
69
4.2
Explicit calculations
75
4.3
Evolution of state
81
4.4
Dispersion relation and effective virtuality of final-state quarks and gluons
84
4.5
Generalizations
86
Exercises
86
5
Libby-Sterman analysis and power-counting
87
5.1
High-energy asymptotics and mass singularities
88
5.2
Reduced graphs and space-time propagation
91
5.3
Examples of general reduced graphs
92
5.4
One-loop vertex graph
105
5.5
Power-counting for vertex graph 111
5.6
Which reactions have a pinch in the Glauber region?
125
5.7
Coordinates for a PSS
130
5.8
Power-counting
134
5.9
Catalog of leading regions
146
5.10
Power-counting with multiple regions
148
5.11
Determination of Glauber-like regions
156
Exercises
158
6
Parton
model to
parton
theory: simple model theories
161
6.1
Field theory formulation of
parton
model
161
6.2
When is the
parton
model valid?
170
6.3
Parton
densities as operator matrix elements
174
6.4
Consequences of rotation and parity
invariance:
polarization dependence
177
6.5
Polarization and polarized
parton
densities in
spin
-А
target
179
6.6
Light-front quantization
180
6.7
Parton
densities as number densities
185
6.8
Unintegrated
parton
densities
190
6.9
Properties of
parton
densities
190
6.10
Feynman rules for pdfs
201
6.11
Calculational examples
202
Exercises
210
7
Parton
theory: further developments
213
7.1
DIS
with weak interactions, neutrino scattering, etc.
213
7.2
Light-front perturbation theory
217
Contents
vii
7.3
Light-front wave functions
225
7.4
Light-front quantization in gauge theories
227
7.5
Parton
densities in gauge theories
229
7.6
Feynman rales for gauge-invariant
parton
densities
235
7.7
Interpretation of Wilson lines within
parton
model
237
Exercises
241
8
Factorization for
DIS,
mostly in simple field theories
243
8.1
Factorization: overall view
243
8.2
Elementary treatment of factorization
245
8.3
Renormalization of
parton
densities
251
8.4
Renormalization group, and DGLAP equation
261
8.5
Moments and Mellin transform
262
8.6
Sum rules for
parton
densities and DGLAP kernels, including in QCD
263
8.7
Renormalization calculations: model theory
264
8.8
Successive approximation method
269
8.9
Derivation of factorization by ladder method
271
8.10
Factorization formula for structure functions
276
8.11
Transverse-spin dependence at leading power?
280
Exercises
282
9
Corrections to the
parton
model in QCD
284
9.1
Lowest order
284
9.2
Projections onto structure functions
284
9.3
Complications in QCD
285
9.4
One-loop renormalization calculations in QCD
286
9.5
One-loop renormalization by subtraction of asymptote
293
9.6
DIS on
partonic target
295
9.7
Computation of
NLO gluon
coefficient function
296
9.8
Choice of renormalization scale
μ
300
9.9
NLO
quark coefficient
301
9.10
Hard scattering with quark masses
306
9.11
Critique of conventional treatments
307
9.12
Summary of known higher-order corrections
309
9.13
Phenomenology
310
Exercises
312
10
Factorization and subtractions
313
10.1
Subtraction method
314
10.2
Simple example of subtraction method
320
10.3
Sudakov form factor
321
10.4
Region approximator TR for Sudakov form factor
323
10.5
One-loop Sudakov form factor
330
viii Contents
10.6 Rationale
for definition of
Γ«
345
10.7
Genera] derivation of region decomposition
351
10.8
Sudakov form factor factorization: first version
359
10.9
Factorization in terms of unsubtracted factors
374
10.10
Evolution
374
10.11
Sudakov. redefinition of factors
378
10.12
Calculations for Sudakov problem
388
10.13
Deduction of some non-leading logarithms
393
10.14
Comparisons with other work
394
Exercises
395
11
DIS
and related processes in QCD
398
11.1
General principles
398
11.2
Regions and PSSs, with uncut hadronic amplitude
399
11.3
Factorization for
DIS
404
11.4
Renormalization of
parton
densities, DGLAP evolution
411
11.5
DIS
with weak interactions
412
11.6
Polarized
DIS,
especially transverse polarization
412
11.7
Quark masses
413
11.8
DVCSandDDVCS
415
11.9
Ward identities to convert
К
gluons to Wilson line
416
Exercises
425
12
Fragmentation functions:
c e
annihilation to
hadrons, and SIDIS
426
12.1
Structure-function analysis of one-particle inclusive
cross section
427
12.2
Statement of factorization etc. for
eĄe~
—►
h(p)
+
X
429
12.3
LO
calculation
432
12.4
introduction to fragmentation functions
433
12.5
Leading regions and issues in a gauge theory
439
12.6
Which gauge to use in a proof?
444
12.7
Unitarity sum over jets/sum over cuts
447
12.8
Factorization for e^e~
-*
h(p) + X in gauge theory
448
12.9
Use of perturbative calculations
461
12.10
One-loop renormalization of fragmentation function
461
12.11
One-loop coefficient functions
464
12.12
Non-periurbative effects and factorization
465
12.13
Generalizations
466
12.14
Semi-inclusive deeply inelastic scattering
470
12.15
Target fragmentation region: fracture functions
475
Exercises
477
Contents ix
13 TMD
factorization
479
13.1
Overview of two-particle-inclusive e+e~ annihilation
479
13.2
Kinematics, coordinate frames, and structure functions
481
13.3
Region analysis
485
13.4
Collinear
factors
491
13.5
Initial version of factorization with TMD fragmentation
494
13.6
Factorization and transverse coordinate space
495
13.7
Final version of factorization for e+e~ annihilation
496
13.8
Evolution equations for TMD fragmentation functions
501
13.9
Flavor dependence of CS and RG evolution
502
13.10
Analysis of CS kernel
К
:
perturbative and non-perturbative
503
13.11
Relation of TMD to integrated fragmentation function
507
13.12
Correction term for large qhj
513
13.13
Using TMD factorization
514
13.14
NLO
calculation of TMD fragmentation function at small hT and
at large
Å
-т
519
13.15
S
IDIS and TMD
parton
densities
526
13.16
Polarization issues
532
13.17
Implications of time-reversal
invariance
533
Exercises
537
14
Inclusive
processes in hadrun-hadron collisions
540
14.1
Overview
540
14.2
Drell-Yan process: kinematics etc.
542
14.3
Glauber region example
545
14.4
Factorization for Drell-Yan
553
14.5
TMD pdfs and Drell-Yan process
562
14.6
Calculations with initial-state
partons
569
14.7
Production of hadrons
570
Exercises
571
15
Introduction to more advanced topics
573
15.1
Light-front wave functions and exclusive scattering at large
momentum transfer
574
15.2
Exclusive diffraction: generalized
parton
densities
574
15.3
Small-.v. BFKL. perturbative
Regge
physics
575
1
5.4
Resummat ion
,
etc
. 576
15.5
Methods for efficient high-order calculations
577
15.6
Monte-Carlo event generators
577
15.7
Heavy quarks
578
15.8
Large
χ
579
і
5.9
Soft-collinear effective theory
(
SCETi
579
15.10
Higher twist: power corrections
580
χ
Contents
Appendix
A: Notations, conventions, standard mathematical results
582
АЛ
General notations
582
A.2 Units, and conversion factors
582
A.3 Acronyms and abbreviations
583
A.4 Vectors, metric, etc.
584
A.5 Renormalization group (RG)
584
A.6
Lorentz,
vector, color etc. sub- and superscripts
585
A.7 Polarization and spin
585
A.8 Structure functions
586
A.9 States, cross sections, integrals over particle momentum
587
A.
10
Dirac, or gamma, matrices
587
A.ll Group theory
588
A.
12
Dimensional regularization and MS: basics
589
A.
13
Dimensional regularization: standard integrals
590
A.
14
Properties of
Γ
function
591
A.
15
Plus distributions, etc.
591
A.
16
Feynman parameters
592
A.
17
Orders of magnitude, estimation, etc.
592
Appendix B: Light-front coordinates, rapidity, etc.
595
B.I Definition
595
B.2 Boosts
596
B.3 Rapidity
596
B.4 Pseudo-rapidity
598
B.5 Rapidity distributions in high-energy collisions
598
Appendix C: Summary of primary results
600
References
603
Index
617
|
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| id | DE-604.BV037209157 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:53:26Z |
| institution | BVB |
| isbn | 9780521855334 0521855330 9781009401821 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-021123250 |
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| owner | DE-355 DE-BY-UBR DE-11 DE-20 DE-19 DE-BY-UBM |
| owner_facet | DE-355 DE-BY-UBR DE-11 DE-20 DE-19 DE-BY-UBM |
| physical | X, 624 S. graph. Darst. |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | Cambridge monographs on particle physics, nuclear physics and cosmology |
| series2 | Cambridge monographs on particle physics, nuclear physics and cosmology |
| spelling | Collins, John C. 1949- Verfasser (DE-588)140756515 aut Foundations of perturbative QCD John Collins 1. publ. Cambridge [u.a.] Cambridge University Press 2011 X, 624 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge monographs on particle physics, nuclear physics and cosmology 32 Serientitel nur auf dem Umschlag Hier auch später erschienene, unveränderte Nachdrucke Störungstheorie (DE-588)4128420-3 gnd rswk-swf Quantenchromodynamik (DE-588)4128082-9 gnd rswk-swf Quantenchromodynamik (DE-588)4128082-9 s Störungstheorie (DE-588)4128420-3 s DE-604 Cambridge monographs on particle physics, nuclear physics and cosmology 32 (DE-604)BV005321866 32 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021123250&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Collins, John C. 1949- Foundations of perturbative QCD Cambridge monographs on particle physics, nuclear physics and cosmology Störungstheorie (DE-588)4128420-3 gnd Quantenchromodynamik (DE-588)4128082-9 gnd |
| subject_GND | (DE-588)4128420-3 (DE-588)4128082-9 |
| title | Foundations of perturbative QCD |
| title_auth | Foundations of perturbative QCD |
| title_exact_search | Foundations of perturbative QCD |
| title_full | Foundations of perturbative QCD John Collins |
| title_fullStr | Foundations of perturbative QCD John Collins |
| title_full_unstemmed | Foundations of perturbative QCD John Collins |
| title_short | Foundations of perturbative QCD |
| title_sort | foundations of perturbative qcd |
| topic | Störungstheorie (DE-588)4128420-3 gnd Quantenchromodynamik (DE-588)4128082-9 gnd |
| topic_facet | Störungstheorie Quantenchromodynamik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021123250&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005321866 |
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