Conformal invariance: an introduction to loops, interfaces and stochastic Loewner evolution
Gespeichert in:
| Weitere Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Heidelberg [u.a.]
Springer
2012
|
| Schriftenreihe: | Lecture notes in physics
853 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVI, 189 S. Ill., graph. Darst. |
| ISBN: | 9783642279331 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV040116265 | ||
| 003 | DE-604 | ||
| 005 | 20130228 | ||
| 007 | t | ||
| 008 | 120503s2012 ad|| |||| 00||| eng d | ||
| 016 | 7 | |a 101821142X |2 DE-101 | |
| 020 | |a 9783642279331 |9 978-3-642-27933-1 | ||
| 035 | |a (OCoLC)796213519 | ||
| 035 | |a (DE-599)HBZHT017215311 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-11 |a DE-384 | ||
| 084 | |a UD 8220 |0 (DE-625)145543: |2 rvk | ||
| 084 | |a UG 3900 |0 (DE-625)145629: |2 rvk | ||
| 084 | |a UO 4000 |0 (DE-625)146237: |2 rvk | ||
| 245 | 1 | 0 | |a Conformal invariance |b an introduction to loops, interfaces and stochastic Loewner evolution |c Malte Henkel ... [Eds.] |
| 264 | 1 | |a Heidelberg [u.a.] |b Springer |c 2012 | |
| 300 | |a XVI, 189 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in physics |v 853 | |
| 650 | 0 | 7 | |a Kritisches Phänomen |0 (DE-588)4165788-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Konforme Feldtheorie |0 (DE-588)4312574-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Konforme Invarianz |0 (DE-588)4312760-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Konforme Invarianz |0 (DE-588)4312760-5 |D s |
| 689 | 0 | 1 | |a Kritisches Phänomen |0 (DE-588)4165788-3 |D s |
| 689 | 0 | 2 | |a Konforme Feldtheorie |0 (DE-588)4312574-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Henkel, Malte |d 1960- |0 (DE-588)133711463 |4 edt | |
| 830 | 0 | |a Lecture notes in physics |v 853 |w (DE-604)BV000003166 |9 853 | |
| 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=024972463&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-024972463 | ||
Datensatz im Suchindex
| _version_ | 1804149073551294464 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
1 A SHORT INTRODUCTION TO CONFORMAL INVARIANCE 1
MALTE HENKEL AND DRAGI KAREVSKI 1.1 FROM SCALE-INVARIANCE TO CONFORMAL
INVARIANCE 1
1.2 THE ENERGY-MOMENTUM TENSOR 7
1.3 THE VIRASORO ALGEBRA 15
1.4 KAC FORMULA AND UNITARY MINIMAL MODELS 18
1.5 FROM CHARACTERS TO MODULAR INVARIANCE 21
1.6 THE FREE BOSON 27
1.7 THE SUGAWARA CONSTRUCTION 30
1.8 COMPACTIFICATIONS AND MODULAR INVARIANCE 34
1.9 FROM THE SCREENED COULOMB GAS TO MINIMAL MODELS 36
1.10 SURFACE CRITICAL PHENOMENA 38
1.11 BOUNDARY CONFORMAL FIELD-THEORY . 4 0
1.12 NOTES AND REFERENCES 4 6
REFERENCES 47
2 A SHORT INTRODUCTION TO CRITICAL INTERFACES IN 2 D 51
MICHEL BAUER 2.1 INTRODUCTION 51
2.2 DISCRETE MODELS 53
2.2.1 DISCRETE DOMAINS 54
2.2.2 THE EXPLORATION PROCESS AND PERCOLATION 57
2.2.3 LOOP-ERASED RANDOM WALKS 66
2.2.4 ANOTHER EXAMPLE OF GROWTH: DLA 75
2.3 LOEWNER CHAINS 7 6
2.3.1 AROUND RIEMANN S THEOREM 77
2.3.2 HULLS 79
2.3.3 BASIC EXAMPLES 80
2.3.4 ITERATION OF CONFORMAL MAPS 81
2.3.5 CONTINUOUS TIME GROWTH PROCESSES 81
2.3.6 GEOMETRIC INTERPRETATION 83
I X
HTTP://D-NB.INFO/101821142X
IMAGE 2
X CONTENTS
2.3.7 LOCAL GROWTH 84
2.4 STOCHASTIC LOEWNER EVOLUTIONS 87
2.4.1 CONFORMAL INVARIANCE 88
2.4.2 DOMAIN MARKOV PROPERTY 89
2.4.3 SCHRAMM S ARGUMENT 9 0
2.4.4 BASIC PROPERTIES 91
2.4.5 LOCALITY 93
2.5 RELATION WITH CONFORMAL FIELD-THEORY 9 6
2.5.1 MOTIVATION 96
2.5.2 A CRASH COURSE IN BOUNDARY CFT (BCFT) 96
2.5.3 MARTINGALES AND SINGULAR VECTORS 98
2.5.4 TWO EXAMPLES 99
2.5.5 CONFORMAL SLE MARTINGALES 104
2.6 NOTES AND REFERENCES 108
REFERENCES 109
3 NUMERICAL TESTS O F SCHRAMM-LOEWNER EVOLUTION IN RANDOM LATTICE SPIN
MODELS 113
CHRISTOPHE CHATELAIN 3.1 INTRODUCTION 113
3.2 GENESIS AND LOCALISATION O F THE INTERFACE 114
3.3 NUMERICAL TESTS O F SLE PROPERTIES 121
3.3.1 DOMAIN MARKOV PROPERTY 121
3.3.2 CONFORMAL INVARIANCE 122
3.3.3 DRIVING FUNCTION 124
3.3.4 FINITE-SIZE SCALING O F LENGTH AND WINDING NUMBER . . . . 127
3.3.5 LEFT-PASSAGE PROBABILITY 128
3.4 SLE IN RANDOM LATTICE SPIN MODELS 130
3.4.1 RANDOM POTTS MODEL 131
3.4.2 SOS MODEL ON A RANDOM SUBSTRATE 133
3.4.3 ISING SPIN GLASSES 133
3.4.4 RANDOM-FIELD ISING MODEL 136
REFERENCES 138
4 LOOP MODELS AND BOUNDARY CFT 141
JESPER LYKKE JACOBSEN 4.1 MODELS AND TRANSFORMATIONS 141
4.1. T POTTS MODEL 141
4.1.2 O(N) MODEL 145
4.1.3 VERTEX AND HEIGHT MODELS 147
4.2 COULOMB GAS IN THE BULK 151
4.2.1 COMPACTIFIED FREE BOSON 152
4.2.2 LIOUVILLE FIELD-THEORY 153
4.2.3 MARGINALITY REQUIREMENT 155
4.2.4 CRITICAL EXPONENTS 156
4.3 COULOMB GAS AT THE BOUNDARY 159
IMAGE 3
CONTENTS XI
4.3.1 SURFACE CRITICAL BEHAVIOUR 160
4.3.2 SKETCH O F BOUNDARY CFT 161
4.3.3 COULOMB GAS FOR LOOPS ON AN ANNULUS 164
4.3.4 BCFT AND THE 0 ( H ) MODEL 165
4.3.5 CRITICAL EXPONENTS 166
4.4 TEMPERLEY-LIEB ALGEBRA 167
4.4.1 USUAL TL ALGEBRA 168
4.4.2 ONE-BOUNDARY T L ALGEBRA 173
4.5 EXACT CFT PARTITION FUNCTIONS 175
4.5.1 OBTL LOOP MODEL 175
4.5.2 A PERCOLATION CROSSING FORMULA 177
4.5.3 1BTL LOOP MODEL 178
4.5.4 2BTL LOOP MODEL 180
4.6 NOTES AND REFERENCES 181
REFERENCES 181
INDEX 1 85
|
| any_adam_object | 1 |
| author2 | Henkel, Malte 1960- |
| author2_role | edt |
| author2_variant | m h mh |
| author_GND | (DE-588)133711463 |
| author_facet | Henkel, Malte 1960- |
| building | Verbundindex |
| bvnumber | BV040116265 |
| classification_rvk | UD 8220 UG 3900 UO 4000 |
| ctrlnum | (OCoLC)796213519 (DE-599)HBZHT017215311 |
| discipline | Physik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01753nam a2200421 cb4500</leader><controlfield tag="001">BV040116265</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20130228 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">120503s2012 ad|| |||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">101821142X</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642279331</subfield><subfield code="9">978-3-642-27933-1</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)796213519</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)HBZHT017215311</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-11</subfield><subfield code="a">DE-384</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UD 8220</subfield><subfield code="0">(DE-625)145543:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UG 3900</subfield><subfield code="0">(DE-625)145629:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UO 4000</subfield><subfield code="0">(DE-625)146237:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Conformal invariance</subfield><subfield code="b">an introduction to loops, interfaces and stochastic Loewner evolution</subfield><subfield code="c">Malte Henkel ... [Eds.]</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Heidelberg [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2012</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XVI, 189 S.</subfield><subfield code="b">Ill., graph. Darst.</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="490" ind1="1" ind2=" "><subfield code="a">Lecture notes in physics</subfield><subfield code="v">853</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kritisches Phänomen</subfield><subfield code="0">(DE-588)4165788-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Konforme Feldtheorie</subfield><subfield code="0">(DE-588)4312574-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Konforme Invarianz</subfield><subfield code="0">(DE-588)4312760-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Konforme Invarianz</subfield><subfield code="0">(DE-588)4312760-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Kritisches Phänomen</subfield><subfield code="0">(DE-588)4165788-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Konforme Feldtheorie</subfield><subfield code="0">(DE-588)4312574-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Henkel, Malte</subfield><subfield code="d">1960-</subfield><subfield code="0">(DE-588)133711463</subfield><subfield code="4">edt</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Lecture notes in physics</subfield><subfield code="v">853</subfield><subfield code="w">(DE-604)BV000003166</subfield><subfield code="9">853</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=024972463&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-024972463</subfield></datafield></record></collection> |
| id | DE-604.BV040116265 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:17:14Z |
| institution | BVB |
| isbn | 9783642279331 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024972463 |
| oclc_num | 796213519 |
| open_access_boolean | |
| owner | DE-11 DE-384 |
| owner_facet | DE-11 DE-384 |
| physical | XVI, 189 S. Ill., graph. Darst. |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in physics |
| series2 | Lecture notes in physics |
| spelling | Conformal invariance an introduction to loops, interfaces and stochastic Loewner evolution Malte Henkel ... [Eds.] Heidelberg [u.a.] Springer 2012 XVI, 189 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in physics 853 Kritisches Phänomen (DE-588)4165788-3 gnd rswk-swf Konforme Feldtheorie (DE-588)4312574-8 gnd rswk-swf Konforme Invarianz (DE-588)4312760-5 gnd rswk-swf Konforme Invarianz (DE-588)4312760-5 s Kritisches Phänomen (DE-588)4165788-3 s Konforme Feldtheorie (DE-588)4312574-8 s DE-604 Henkel, Malte 1960- (DE-588)133711463 edt Lecture notes in physics 853 (DE-604)BV000003166 853 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024972463&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Conformal invariance an introduction to loops, interfaces and stochastic Loewner evolution Lecture notes in physics Kritisches Phänomen (DE-588)4165788-3 gnd Konforme Feldtheorie (DE-588)4312574-8 gnd Konforme Invarianz (DE-588)4312760-5 gnd |
| subject_GND | (DE-588)4165788-3 (DE-588)4312574-8 (DE-588)4312760-5 |
| title | Conformal invariance an introduction to loops, interfaces and stochastic Loewner evolution |
| title_auth | Conformal invariance an introduction to loops, interfaces and stochastic Loewner evolution |
| title_exact_search | Conformal invariance an introduction to loops, interfaces and stochastic Loewner evolution |
| title_full | Conformal invariance an introduction to loops, interfaces and stochastic Loewner evolution Malte Henkel ... [Eds.] |
| title_fullStr | Conformal invariance an introduction to loops, interfaces and stochastic Loewner evolution Malte Henkel ... [Eds.] |
| title_full_unstemmed | Conformal invariance an introduction to loops, interfaces and stochastic Loewner evolution Malte Henkel ... [Eds.] |
| title_short | Conformal invariance |
| title_sort | conformal invariance an introduction to loops interfaces and stochastic loewner evolution |
| title_sub | an introduction to loops, interfaces and stochastic Loewner evolution |
| topic | Kritisches Phänomen (DE-588)4165788-3 gnd Konforme Feldtheorie (DE-588)4312574-8 gnd Konforme Invarianz (DE-588)4312760-5 gnd |
| topic_facet | Kritisches Phänomen Konforme Feldtheorie Konforme Invarianz |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024972463&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003166 |
| work_keys_str_mv | AT henkelmalte conformalinvarianceanintroductiontoloopsinterfacesandstochasticloewnerevolution |