Hadronic properties in the Nambu-Jona-Lasinio model: meson loops and linear response
Zsfassung in dt. Sprache.
Saved in:
| Main Author: | |
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| Format: | Book |
| Language: | German |
| Published: |
1995
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Summary: | Zsfassung in dt. Sprache. |
| Item Description: | Bochum, Univ., Diss., 1995 |
| Physical Description: | VI, 101 Bl. graph. Darst. |
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| 100 | 1 | |a Nikolov, Emil N. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Hadronic properties in the Nambu-Jona-Lasinio model |b meson loops and linear response |c von Emil N. Nikolov |
| 264 | 1 | |c 1995 | |
| 300 | |a VI, 101 Bl. |b graph. Darst. | ||
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| 337 | |b n |2 rdamedia | ||
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| 500 | |a Bochum, Univ., Diss., 1995 | ||
| 520 | 8 | |a Zsfassung in dt. Sprache. | |
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Record in the Search Index
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CONTENTS
1 INTRODUCTION 3
2 MESONS IN THE NJL MODEL - ONE QUARK LOOP 7
2.1 THE REGULARIZED EFFECTIVE ACTION. 9
2.1.1 PROPER-TIME REGULARIZATION. 10
2.1.2 COVARIANT FOUR-MOMENTUM 0(4) REGULARIZATION. 10
2.2 THE SADDLE-POINT APPROXIMATION. 11
2.3 THE MESON PROPAGATORS . 13
2.4 NC COUNTING. 16
3 MESON LOOPS 17
3.1 GENERATING FUNCTIONAL . 17
3.1.1 GENERATING FUNCTIONAL. 17
3.1.2 REGULARIZATION OF THE MESON-LOOP CONTRIBUTION. 18
3.1.3 INSTABILITY PROBLEM. 19
3.1.4 GAP EQUATION. 21
3.2 QUARK CONDENSATE . 23
3.3 MESON PROPAGATORS. 23
3.3.1 THE GOLDSTONE THEOREM. 28
3.3.2 PION-QUARK COUPLING CONSTANT. 29
3.4 THE PION MASS . 31
3.5 PION DECAY CONSTANT. 31
3.6 FIXING THE PARAMETERS. 32
3.7 RESULTS AND DISCUSSION. 33
3.7.1 CONSTITUENT QUARK MASS. 33
3.7.2 QUARK CONDENSATE . 35
3.8 VALIDITY OF THE JVC-COUNTING SCHEME. 37
4 THE NJL SOLITON 39
4.1 ENERGY OF THE SOLITON. 40
4.2 PROJECTION AND COLLECTIVE QUANTIZATION. 43
5 ELECTRIC POLARIZABILITY OF THE NUCLEON 47
5.1 DERIVATION FROM THE NUCLEON CURRENT CORRELATOR . 48
5.2 LEADING-NC CONTRIBUTIONS TO A . 50
5.3 ROTATIONAL CORRECTIONS TO A . 54
5.4 EFFECTS OF THE A-N MASS SPLITTING. 56
5.5 RESULTS AND DISCUSSION. 57
1
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/945388098
2
CONTENTS
6 SUMMARY AND CONCLUSION 50
A EQUALITIES FOR FUNCTIONAL INTEGRALS 63
A.L BOSONIZATION IN THE NJL MODEL. 63
A. 2 GAUSSIAN PATH INTEGRALS. 63
A.2.1 FERMIONS - PATH INTEGRAL OVER GRASSMANN VARIABLES. 63
A. 2.2 BOSONS. 64
B THE REGULARIZED EFFECTIVE ACTION 65
B. L THE PROPER-TIME REGULARIZATION. 65
B. 1.1 THE EFFECTIVE ACTION . 66
B.L.2 THE GAP EQUATION. 66
B.2 THE FOUR-MOMENTUM REGULARIZATION. 66
B.2.1 THE EFFECTIVE ACTION . 67
B.2.2 THE GAP EQUATION. 67
C EXPANSION OF THE EFFECTIVE ACTION 69
D LOW-MOMENTUM EXPANSION OF MESON-LOOP DIAGRAMS 79
D.L ONE-BOSON-LOOP GAP EQUATION. 79
D.2 ONE-BOSON-LOOP PION PROPAGATOR. 80
D. 3 REGULARIZATION FUNCTIONS FOR QUARK-LOOP VERTICES. 85
D.3.1 PROPER-TIME REGULARIZATION. 85
D. 3.2 0(4) REGULARIZATION. 87
E EXPANSION IN TERMS OF EXTERNAL PERTURBATIONS 89
E. L LEADING
NC VALENCE CONTRIBUTION TO A. 89
E.2 LEADING-NC SEA CONTRIBUTION TO A. 90
E.3 ROTATIONAL CORRECTION TO A - VALENCE PART. 92
E.4 ROTATIONAL CORRECTION TO A - SEA PART. 94
E. 4.1 GRADIENT EXPANSION. 95 |
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| id | DE-604.BV010433430 |
| illustrated | Illustrated |
| indexdate | 2024-10-09T16:15:44Z |
| institution | BVB |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006952476 |
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| physical | VI, 101 Bl. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
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| spelling | Nikolov, Emil N. Verfasser aut Hadronic properties in the Nambu-Jona-Lasinio model meson loops and linear response von Emil N. Nikolov 1995 VI, 101 Bl. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Bochum, Univ., Diss., 1995 Zsfassung in dt. Sprache. Nambu-Jona-Lasinio-Modell (DE-588)4281431-5 gnd rswk-swf Meson (DE-588)4169475-2 gnd rswk-swf Baryon (DE-588)4144076-6 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Meson (DE-588)4169475-2 s Nambu-Jona-Lasinio-Modell (DE-588)4281431-5 s DE-604 Baryon (DE-588)4144076-6 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006952476&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nikolov, Emil N. Hadronic properties in the Nambu-Jona-Lasinio model meson loops and linear response Nambu-Jona-Lasinio-Modell (DE-588)4281431-5 gnd Meson (DE-588)4169475-2 gnd Baryon (DE-588)4144076-6 gnd |
| subject_GND | (DE-588)4281431-5 (DE-588)4169475-2 (DE-588)4144076-6 (DE-588)4113937-9 |
| title | Hadronic properties in the Nambu-Jona-Lasinio model meson loops and linear response |
| title_auth | Hadronic properties in the Nambu-Jona-Lasinio model meson loops and linear response |
| title_exact_search | Hadronic properties in the Nambu-Jona-Lasinio model meson loops and linear response |
| title_full | Hadronic properties in the Nambu-Jona-Lasinio model meson loops and linear response von Emil N. Nikolov |
| title_fullStr | Hadronic properties in the Nambu-Jona-Lasinio model meson loops and linear response von Emil N. Nikolov |
| title_full_unstemmed | Hadronic properties in the Nambu-Jona-Lasinio model meson loops and linear response von Emil N. Nikolov |
| title_short | Hadronic properties in the Nambu-Jona-Lasinio model |
| title_sort | hadronic properties in the nambu jona lasinio model meson loops and linear response |
| title_sub | meson loops and linear response |
| topic | Nambu-Jona-Lasinio-Modell (DE-588)4281431-5 gnd Meson (DE-588)4169475-2 gnd Baryon (DE-588)4144076-6 gnd |
| topic_facet | Nambu-Jona-Lasinio-Modell Meson Baryon Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006952476&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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