Topological solitons:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2007
|
| Edition: | Digitally printed version (with corr.) |
| Series: | Cambridge monographs on mathematical physics
|
| Subjects: | |
| Online Access: | Table of contents Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 467 - 490 |
| Physical Description: | XI, 493 S. Ill., graph. Darst. |
| ISBN: | 0521040965 9780521040969 |
Staff View
MARC
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| 020 | |a 9780521040969 |c pbk |9 978-0-521-04096-9 | ||
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| 100 | 1 | |a Manton, Nicholas |d 1952- |e Verfasser |0 (DE-588)173712126 |4 aut | |
| 245 | 1 | 0 | |a Topological solitons |c Nicholas Manton ; Paul Sutcliffe |
| 250 | |a Digitally printed version (with corr.) | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2007 | |
| 300 | |a XI, 493 S. |b Ill., 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 | |
| 500 | |a Literaturverz. S. 467 - 490 | ||
| 650 | 4 | |a fizika - teoretična fizika - matematična fizika - solitoni - učbeniki za visoke šole | |
| 650 | 4 | |a Solitons | |
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| 700 | 1 | |a Sutcliffe, Paul |e Verfasser |4 aut | |
| 856 | 4 | |u http://www.loc.gov/catdir/toc/cam041/2003069072.html |3 Table of contents | |
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Record in the Search Index
| _version_ | 1804139198037360640 |
|---|---|
| adam_text | Contents
Preface
раде їх
1
Introduction
1
1.1 Solitons
as particles
1
1.2
A brief history of topological solitons
3
1.3
Bogomolny equations and moduli spaces
7
1.4
Soliton dynamics
8
1.5
Solitons and
integrable
systems
10
1.6
Solitons
-
experimental status
12
1.7
Outline of this book
14
2
Lagrangians and fields
15
2.1
Finite-dimensional systems
15
2.2
Symmetries and conservation laws
21
2.3
Field theory
23
2.4
Noether s theorem in field theory
28
2.5
Vacua and spontaneous symmetry breaking
31
2.6
Gauge theory
32
2.7
The Higgs mechanism
43
2.8
Gradient flow in field theory
45
3
Topology in field theory
47
3.1
Homotopy theory
47
3.2
Topological degree
54
3.3
Gauge fields as differential forms
60
3.4
Chern numbers of abelian gauge fields
62
3.5
Chern numbers for non-abelian gauge fields
67
3.6
Chern-Simons forms
69
vi
Contents
4 Solitons -
general
theory
75
4.1
Topology and solitons
75
4.2
Scaling arguments
82
4.3
Symmetry and reduction of dimension
87
4.4
Principle of symmetric criticality
99
4.5
Moduli spaces and soliton dynamics
102
5
Kinks
109
5.1
Bogomolny bounds and vacuum structure
109
5.2
φ4
kinks
1П
5.3
Sine-Gordon kinks
116
5.4
Generalizations
124
6
Lumps and rational maps
131
6.1
Lumps in the
0(3)
sigma
model
131
6.2
Lumps on a sphere and symmetric maps
141
6.3
Stabilizing the lump
151
7
Vortices
158
7.1
Ginzburg-Landau energy functions
158
7.2
Topology in the global theory
163
7.3
Topology in the gauged theory
164
7.4
Vortex solutions
167
7.5
Forces between gauged vortices
175
7.6
Forces between vortices at large separation
177
7.7
Dynamics of gauged vortices
181
7.7.1
Second order dynamics
181
7.7.2
Gradient flow
188
7.7.3
First order dynamics
193
7.8
Vortices at critical coupling
197
7.9
Moduli space dynamics
202
7.10
The metric on MN
205
7.11
Two-vortex scattering
215
7.12
First order dynamics near critical coupling
220
7.13
Global vortex dynamics
223
7.14
Varying the geometry
227
7.14.1
Volume of moduli space
231
7.14.2
Toroidal geometry
-
the Abrikosov lattice
234
7.14.3
Vortices on the hyperbolic plane
236
7.15
Statistical mechanics of vortices
238
Contents
vii
8
Monopoles
241
8.1
Dirac
monopoles
241
8.2
Monopoles as solitons
249
8.3
Bogomolny-Prasad-Sommerfield monopoles
261
8.4
Dyons
266
8.5
The
Nahm
transform
269
8.6
Construction
of
monopoles
from
Nahm
data
276
8.7
Spectral
curves
284
8.8
Rational maps and
monopoles
293
8.9
Alternative
monopole
methods
307
8.10
Monopole
dynamics
309
8.11
Moduli spaces and geodesic motion
314
8.12
Well separated
monopoles
333
8.13
SU(m)
monopoles
339
8.14
Hyperbolic
monopoles
346
9
Skyrmions
349
9.1
The Skyrme model
349
9.2
Hedgehogs
353
9.3
Asymptotic interactions
356
9.4
Low charge Skyrmions
361
9.5
The rational map ansatz
365
9.6
Higher charge Skyrmions
373
9.7
Lattices, crystals and shells
382
9.8
Skyrmion dynamics
389
9.9
Generalizations of the Skyrme model
400
9.10
Quantization of Skyrmions
406
9.11
The Skyrme-Faddeev model
408
IO
Instantons
416
10.1
Self-dual Yang-Mills fields
416
10.2
The ADHM construction
425
10.3
Symmetric
instantons
428
10.4
Skyrme fields from
instantons
431
10.5
Monopoles as
self-dual gauge fields
437
10.6
Higher rank gauge groups
440
11
Saddle points
—
sphalerons
441
11.1
Mountain passes
441
11.2
Sphalerons on a circle
444
11.3
The gauged kink
447
11.4
Monopole-antimonopole
dipole
451
11.5
The electroweak sphaleron
454
viii Contents
11.6
Unstable solutions in other theories
463
References
467
Index
491
|
| any_adam_object | 1 |
| author | Manton, Nicholas 1952- Sutcliffe, Paul |
| author_GND | (DE-588)173712126 |
| author_facet | Manton, Nicholas 1952- Sutcliffe, Paul |
| author_role | aut aut |
| author_sort | Manton, Nicholas 1952- |
| author_variant | n m nm p s ps |
| building | Verbundindex |
| bvnumber | BV035551997 |
| classification_rvk | SK 950 UF 5000 |
| ctrlnum | (OCoLC)442304129 (DE-599)BVBBV035551997 |
| discipline | Physik Mathematik |
| edition | Digitally printed version (with corr.) |
| format | Book |
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| id | DE-604.BV035551997 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:40:15Z |
| institution | BVB |
| isbn | 0521040965 9780521040969 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017607881 |
| oclc_num | 442304129 |
| open_access_boolean | |
| owner | DE-19 DE-BY-UBM DE-355 DE-BY-UBR DE-29T DE-384 DE-11 |
| owner_facet | DE-19 DE-BY-UBM DE-355 DE-BY-UBR DE-29T DE-384 DE-11 |
| physical | XI, 493 S. Ill., graph. Darst. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series2 | Cambridge monographs on mathematical physics |
| spelling | Manton, Nicholas 1952- Verfasser (DE-588)173712126 aut Topological solitons Nicholas Manton ; Paul Sutcliffe Digitally printed version (with corr.) Cambridge [u.a.] Cambridge Univ. Press 2007 XI, 493 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge monographs on mathematical physics Literaturverz. S. 467 - 490 fizika - teoretična fizika - matematična fizika - solitoni - učbeniki za visoke šole Solitons Soliton (DE-588)4135213-0 gnd rswk-swf Soliton (DE-588)4135213-0 s DE-604 Sutcliffe, Paul Verfasser aut http://www.loc.gov/catdir/toc/cam041/2003069072.html Table of contents Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017607881&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Manton, Nicholas 1952- Sutcliffe, Paul Topological solitons fizika - teoretična fizika - matematična fizika - solitoni - učbeniki za visoke šole Solitons Soliton (DE-588)4135213-0 gnd |
| subject_GND | (DE-588)4135213-0 |
| title | Topological solitons |
| title_auth | Topological solitons |
| title_exact_search | Topological solitons |
| title_full | Topological solitons Nicholas Manton ; Paul Sutcliffe |
| title_fullStr | Topological solitons Nicholas Manton ; Paul Sutcliffe |
| title_full_unstemmed | Topological solitons Nicholas Manton ; Paul Sutcliffe |
| title_short | Topological solitons |
| title_sort | topological solitons |
| topic | fizika - teoretična fizika - matematična fizika - solitoni - učbeniki za visoke šole Solitons Soliton (DE-588)4135213-0 gnd |
| topic_facet | fizika - teoretična fizika - matematična fizika - solitoni - učbeniki za visoke šole Solitons Soliton |
| url | http://www.loc.gov/catdir/toc/cam041/2003069072.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017607881&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT mantonnicholas topologicalsolitons AT sutcliffepaul topologicalsolitons |