The dilatation operator of N=4 super Yang-Mills theory and integrability:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
2004
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 194, a - q Sp. graph. Darst. 30 cm |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV019605351 | ||
| 003 | DE-604 | ||
| 005 | 20050201 | ||
| 007 | t | ||
| 008 | 041123s2004 gw d||| m||| 00||| eng d | ||
| 015 | |a 04,H11,0563 |2 dnb | ||
| 016 | 7 | |a 972276157 |2 DE-101 | |
| 035 | |a (OCoLC)253864623 | ||
| 035 | |a (DE-599)BVBBV019605351 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c XA-DE | ||
| 049 | |a DE-355 |a DE-91 |a DE-29T |a DE-11 | ||
| 084 | |a UO 5730 |0 (DE-625)146301: |2 rvk | ||
| 084 | |a 530 |2 sdnb | ||
| 100 | 1 | |a Beisert, Niklas |d 1977- |e Verfasser |0 (DE-588)1090275323 |4 aut | |
| 245 | 1 | 0 | |a The dilatation operator of N=4 super Yang-Mills theory and integrability |c von Niklas Beisert |
| 264 | 1 | |c 2004 | |
| 300 | |a VIII, 194, a - q Sp. |b graph. Darst. |c 30 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 502 | |a Berlin, Humboldt-Univ., Diss., 2004 | ||
| 650 | 4 | |a Supersymmetrische Yang-Mills-Theorie - Skalierungsgesetz - Lokaler Operator - Integrierbarkeit | |
| 650 | 0 | 7 | |a Supersymmetrische Yang-Mills-Theorie |0 (DE-588)4297273-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Integrierbarkeit |0 (DE-588)4474751-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Skalierungsgesetz |0 (DE-588)4205012-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Lokaler Operator |0 (DE-588)4774971-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Quantisierung |g Physik |0 (DE-588)4176603-9 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Supersymmetrische Yang-Mills-Theorie |0 (DE-588)4297273-5 |D s |
| 689 | 0 | 1 | |a Skalierungsgesetz |0 (DE-588)4205012-1 |D s |
| 689 | 0 | 2 | |a Lokaler Operator |0 (DE-588)4774971-4 |D s |
| 689 | 0 | 3 | |a Integrierbarkeit |0 (DE-588)4474751-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Quantisierung |g Physik |0 (DE-588)4176603-9 |D s |
| 689 | 1 | |8 1\p |5 DE-604 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012935193&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-012935193 | |
Datensatz im Suchindex
| _version_ | 1808225648854958080 |
|---|---|
| adam_text |
CONTENTS
DECKBLATT
I
ZUSAMMEN&SSUNG
III
ABSTRACT
IV
CONTENTS
V
INTRODUCTION
1
OVERVIEW
13
1
FIELD
THEORY
AND
SYMMETRY
15
1.1
A/
=
4
SUPER
YANG-MILLS
THEORY
.
15
1.2
THE
QUANTUM
THEORY
.
19
1.3
THE
GAUGE
GROUP
.
22
1.4
THE
'
T
HOOFT
LIMIT
.
24
1.5
THE
SUPERCONFORMAL
ALGEBRA
.
25
1.6
FIELDS
AND
STATES
.
28
1.7
HIGHEST-WEIGHT
MODULES
AND
REPRESENTATIONS
.
29
1.8
UNITARITY
AND
MULTIPLET
SHORTENINGS
.
31
1.9
THE
FIELD-STRENGTH
MULTIPLET
.
33
1.10
CORRELATION
FUNCTIONS
.
34
1.11
THE
CURRENT
MULTIPLET
.
36
2
THE
DILATATION
OPERATOR
39
2.1
SCALING
DIMENSIONS
.
39
2.2
PERTURBATION
THEORY
.
45
2.3
SUBSECTORS
.
49
2.4
THE
SU(2)
QUARTER-BPS
SECTOR
.
55
2.5
FIELD
THEORETIC
CONSIDERATIONS
.
60
2.6
THE
PLANAR
LIMIT
AND
SPIN
CHAINS
.
64
VI
CONTENTS
CONTENTS
VII
3
ONE-LOOP
69
3.1
THE
FORM
OF
THE
DILATATION
GENERATOR
.
69
3.2
THE
FERMIONIC
SU(L,
1)
X
U(L1
1)
SUBSECTOR
.
72
3.3
THE
LIFT
TO
PSU(2,2|4)
.
77
3.4
THE
BOSONIC
SU(L,
1)
SUBSECTOR
.
78
3.5
PLANAR
SPECTRUM
.
79
3.6
PLANE
WAVE
PHYSICS
.
86
4
INTEGRABILITY
93
4.1
INTEGRABLE
SPIN
CHAINS
.
93
4.2
ONE-LOOP
INTEGRABILITY
.
99
4.3
THE
ALGEBRAIC
BETHE
ANSATZ
.
103
4.4
SPECTRUM
.
110
4.5
THE
THERMODYNAMIC
LIMIT
.
112
4.6
STRINGING
SPINS
.
115
5
HIGHER-LOOPS
121
5.1
THE
SU(2|3)
EIGHTH-BPS
SECTOR
.
121
5.2
TREE-LEVEL
.
126
5.3
ONE-LOOP
.
127
5.4
TWO-LOOPS
.
130
5.5
THREE-LOOPS
.
134
5.6
SPECTRUM
.
136
6
HIGHER-LOOP
INTEGRABILITY
143
6.1
HIGHER-LOOP
SPIN
CHAINS
.
143
6.2
THE
SU(2)
SECTOR
AT
HIGHER-LOOPS
.
148
6.3
SPECTRUM
.
155
6.4
LONG-RANGE
BETHE
ANSATZ
.
159
CONCLUSIONS
165
OUTLOOK
169
A
AN
EXAMPLE
173
A.L
NON-PLANAR
APPLICATION
.
173
A.2
PLANAR
APPLICATION
.
174
B
SYM
IN
TEN
DIMENSIONS
177
B.L
TEN-DIMENSIONAL
GAUGE
THEORY
IN
SUPERSPACE
.
177
B.2
TEN-DIMENSIONAL
GAUGE
THEORY
IN
COMPONENTS
.
178
B.3
A/"
=
4
SYM
FROM
TEN
DIMENSIONS
.
179
C
SPINORS
IN
VARIOUS
DIMENSIONS
181
C.L
FOUR
DIMENSIONS
.
181
C.2
SIX
DIMENSIONS
.
181
C.3
TEN
DIMENSIONS
.
182
D
THE
ALGEBRA
U(2,2|4)
183
D.L
COMMUTATION
RELATIONS
.
183
D.2
THE
QUADRATIC
CASIMIR
.
184
D.3
THE
OSCILLATOR
REPRESENTATION
.
184
E
TOOLS
FOR
THE
SU(2)
SECTOR
187
E.L
STATES
.
187
E.2
INTERACTIONS
.
187
E.3
SPECTRUM
.
188
E.4
AN
EXAMPLE
.
188
E.5
COMMUTATORS
.
189
F
THE
HARMONIC
ACTION
191
F.L
GENERIC
INVARIANT
ACTION
.
191
F.2
THE
HARMONIC
ACTION
.
191
F.3
PROOF
.
192
F.4
AN
EXAMPLE
.
193
ACKNOWLEDGEMENTS
A
REFERENCES
C
UTILITIES
K
LEBENSLAUF
M
PUBLIKATIONEN
N
SELBSTSTANDIGKEITSERKLARUNG
P |
| any_adam_object | 1 |
| author | Beisert, Niklas 1977- |
| author_GND | (DE-588)1090275323 |
| author_facet | Beisert, Niklas 1977- |
| author_role | aut |
| author_sort | Beisert, Niklas 1977- |
| author_variant | n b nb |
| building | Verbundindex |
| bvnumber | BV019605351 |
| classification_rvk | UO 5730 |
| ctrlnum | (OCoLC)253864623 (DE-599)BVBBV019605351 |
| discipline | Physik |
| format | Thesis Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 c 4500</leader><controlfield tag="001">BV019605351</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20050201</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">041123s2004 gw d||| m||| 00||| eng d</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">04,H11,0563</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">972276157</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)253864623</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV019605351</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">XA-DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UO 5730</subfield><subfield code="0">(DE-625)146301:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">530</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Beisert, Niklas</subfield><subfield code="d">1977-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1090275323</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The dilatation operator of N=4 super Yang-Mills theory and integrability</subfield><subfield code="c">von Niklas Beisert</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2004</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 194, a - q Sp.</subfield><subfield code="b">graph. Darst.</subfield><subfield code="c">30 cm</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="502" ind1=" " ind2=" "><subfield code="a">Berlin, Humboldt-Univ., Diss., 2004</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Supersymmetrische Yang-Mills-Theorie - Skalierungsgesetz - Lokaler Operator - Integrierbarkeit</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Supersymmetrische Yang-Mills-Theorie</subfield><subfield code="0">(DE-588)4297273-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Integrierbarkeit</subfield><subfield code="0">(DE-588)4474751-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Skalierungsgesetz</subfield><subfield code="0">(DE-588)4205012-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Lokaler Operator</subfield><subfield code="0">(DE-588)4774971-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Quantisierung</subfield><subfield code="g">Physik</subfield><subfield code="0">(DE-588)4176603-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4113937-9</subfield><subfield code="a">Hochschulschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Supersymmetrische Yang-Mills-Theorie</subfield><subfield code="0">(DE-588)4297273-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Skalierungsgesetz</subfield><subfield code="0">(DE-588)4205012-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Lokaler Operator</subfield><subfield code="0">(DE-588)4774971-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="3"><subfield code="a">Integrierbarkeit</subfield><subfield code="0">(DE-588)4474751-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Quantisierung</subfield><subfield code="g">Physik</subfield><subfield code="0">(DE-588)4176603-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012935193&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-012935193</subfield></datafield></record></collection> |
| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV019605351 |
| illustrated | Illustrated |
| indexdate | 2024-08-24T00:12:37Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-012935193 |
| oclc_num | 253864623 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-91 DE-BY-TUM DE-29T DE-11 |
| owner_facet | DE-355 DE-BY-UBR DE-91 DE-BY-TUM DE-29T DE-11 |
| physical | VIII, 194, a - q Sp. graph. Darst. 30 cm |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| record_format | marc |
| spelling | Beisert, Niklas 1977- Verfasser (DE-588)1090275323 aut The dilatation operator of N=4 super Yang-Mills theory and integrability von Niklas Beisert 2004 VIII, 194, a - q Sp. graph. Darst. 30 cm txt rdacontent n rdamedia nc rdacarrier Berlin, Humboldt-Univ., Diss., 2004 Supersymmetrische Yang-Mills-Theorie - Skalierungsgesetz - Lokaler Operator - Integrierbarkeit Supersymmetrische Yang-Mills-Theorie (DE-588)4297273-5 gnd rswk-swf Integrierbarkeit (DE-588)4474751-2 gnd rswk-swf Skalierungsgesetz (DE-588)4205012-1 gnd rswk-swf Lokaler Operator (DE-588)4774971-4 gnd rswk-swf Quantisierung Physik (DE-588)4176603-9 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Supersymmetrische Yang-Mills-Theorie (DE-588)4297273-5 s Skalierungsgesetz (DE-588)4205012-1 s Lokaler Operator (DE-588)4774971-4 s Integrierbarkeit (DE-588)4474751-2 s DE-604 Quantisierung Physik (DE-588)4176603-9 s 1\p DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012935193&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Beisert, Niklas 1977- The dilatation operator of N=4 super Yang-Mills theory and integrability Supersymmetrische Yang-Mills-Theorie - Skalierungsgesetz - Lokaler Operator - Integrierbarkeit Supersymmetrische Yang-Mills-Theorie (DE-588)4297273-5 gnd Integrierbarkeit (DE-588)4474751-2 gnd Skalierungsgesetz (DE-588)4205012-1 gnd Lokaler Operator (DE-588)4774971-4 gnd Quantisierung Physik (DE-588)4176603-9 gnd |
| subject_GND | (DE-588)4297273-5 (DE-588)4474751-2 (DE-588)4205012-1 (DE-588)4774971-4 (DE-588)4176603-9 (DE-588)4113937-9 |
| title | The dilatation operator of N=4 super Yang-Mills theory and integrability |
| title_auth | The dilatation operator of N=4 super Yang-Mills theory and integrability |
| title_exact_search | The dilatation operator of N=4 super Yang-Mills theory and integrability |
| title_full | The dilatation operator of N=4 super Yang-Mills theory and integrability von Niklas Beisert |
| title_fullStr | The dilatation operator of N=4 super Yang-Mills theory and integrability von Niklas Beisert |
| title_full_unstemmed | The dilatation operator of N=4 super Yang-Mills theory and integrability von Niklas Beisert |
| title_short | The dilatation operator of N=4 super Yang-Mills theory and integrability |
| title_sort | the dilatation operator of n 4 super yang mills theory and integrability |
| topic | Supersymmetrische Yang-Mills-Theorie - Skalierungsgesetz - Lokaler Operator - Integrierbarkeit Supersymmetrische Yang-Mills-Theorie (DE-588)4297273-5 gnd Integrierbarkeit (DE-588)4474751-2 gnd Skalierungsgesetz (DE-588)4205012-1 gnd Lokaler Operator (DE-588)4774971-4 gnd Quantisierung Physik (DE-588)4176603-9 gnd |
| topic_facet | Supersymmetrische Yang-Mills-Theorie - Skalierungsgesetz - Lokaler Operator - Integrierbarkeit Supersymmetrische Yang-Mills-Theorie Integrierbarkeit Skalierungsgesetz Lokaler Operator Quantisierung Physik Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012935193&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT beisertniklas thedilatationoperatorofn4superyangmillstheoryandintegrability |