Symmetry breaking:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin
Springer
[2021]
|
| Edition: | Third edition |
| Series: | Theoretical and mathematical physics
|
| Subjects: | |
| Online Access: | Inhaltstext http://www.springer.com/ Inhaltsverzeichnis |
| Physical Description: | xiii, 286 Seiten |
| ISBN: | 9783662621646 3662621649 |
Staff View
MARC
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| 020 | |a 3662621649 |9 3-662-62164-9 | ||
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| 100 | 1 | |a Strocchi, Franco |d 1939- |e Verfasser |0 (DE-588)172389348 |4 aut | |
| 245 | 1 | 0 | |a Symmetry breaking |c Franco Strocchi |
| 250 | |a Third edition | ||
| 264 | 1 | |a Berlin |b Springer |c [2021] | |
| 300 | |a xiii, 286 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Theoretical and mathematical physics | |
| 650 | 0 | 7 | |a Symmetriebrechung |0 (DE-588)4184200-5 |2 gnd |9 rswk-swf |
| 653 | |a Gauge group topology | ||
| 653 | |a Anderson model | ||
| 653 | |a Gauge Symmetry Breaking | ||
| 653 | |a Noether Theorem | ||
| 653 | |a Infinitely Extended Quantum Systems | ||
| 653 | |a Goldstone Theorem and Boson | ||
| 653 | |a Galilei group | ||
| 653 | |a Spontaneous Symmetry Breaking | ||
| 653 | |a Higgs mechanism | ||
| 653 | |a Symmetry Breaking Textbook | ||
| 653 | |a Chiral Symmetry Breaking | ||
| 689 | 0 | 0 | |a Symmetriebrechung |0 (DE-588)4184200-5 |D s |
| 689 | 0 | |5 DE-604 | |
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Record in the Search Index
| _version_ | 1817968174682865664 |
|---|---|
| adam_text |
CONTENTS
PART
I
SYMMETRY
BREAKING
IN
CLASSICAL
SYSTEMS
1
SYMMETRIES
OF
A
CLASSICAL
SYSTEM
.
5
2
SPONTANEOUS
SYMMETRY
BREAKING
.
7
3
SYMMETRIES
IN
CLASSICAL
FIELD
THEORY
.
11
4
GENERAL
PROPERTIES
OF
SOLUTIONS
OF
CLASSICAL
FIELD
EQUATIONS
.
17
5
STABLE
STRUCTURES,
HILBERT
SECTORS,
PHASES
.
21
6
STABILITY
UNDER
SPACE
TRANSLATIONS.
POSITIVE
ENERGY
.
31
7
NOETHER
THEOREM
AND
SYMMETRY
BREAKING
.
35
8
EXAMPLES
.
41
9
THE
GOLDSTONE
THEOREM
.
47
10
APPENDIX
.
53
10.1
PROPERTIES
OF
THE
FREE
WAVE
PROPAGATOR
.
53
10.2
THE
CAUCHY
PROBLEM
FOR
SMALL
TIMES
.
55
10.3
THE
GLOBAL
CAUCHY
PROBLEM
.
57
10.4
THE
NON-LINEAR
WAVE
EQUATION
WITH
DRIVING
TERM
.
59
10.5
TIME-INDEPENDENT
SOLUTIONS
DEFINING
PHYSICAL
SECTORS
. 60
PART
I
REFERENCES
PART
II
SYMMETRY
BREAKING
IN
QUANTUM
SYSTEMS
11
QUANTUM
MECHANICS.
ALGEBRAIC
STRUCTURE
AND
STATES
.
73
12
FOCK
REPRESENTATION
.
79
13
NON-FOCK
REPRESENTATIONS
.
87
XII
CONTENTS
14
MATHEMATICAL
DESCRIPTION
OF
INFINITELY
EXTENDED
QUANTUM
SYSTEMS
.
95
14.1
LOCAL
STRUCTURE
.
95
14.2
ASYMPTOTIC
ABELIANESS
.
97
15
PHYSICALLY
RELEVANT
REPRESENTATIONS
.
101
16
CLUSTER
PROPERTY
AND
PURE
PHASES
.
105
17
EXAMPLES
.
ILL
17.1
SPIN
SYSTEMS
WITH
SHORT-RANGE
INTERACTIONS
.
ILL
17.2
FREE
BOSE
GAS.
BOSE-EINSTEIN
CONDENSATION
.
113
17.3
*
APPENDIX:
THE
INFINITE
VOLUME
DYNAMICS
FOR
SHORT-RANGE
SPIN
INTERACTIONS
.
116
18
SYMMETRY
BREAKING
IN
QUANTUM
SYSTEMS
.
121
18.1
WIGNER
SYMMETRIES
.
121
18.2
SPONTANEOUS
SYMMETRY
BREAKING
.
124
18.3
SYMMETRY
BREAKING
ORDER
PARAMETER
.
127
19
EXAMPLES
.
129
19.1
HEISENBERG
FERROMAGNET
.
129
19.2
BOSE-EINSTEIN
CONDENSATION
.
130
19.3
MASSLESS
FIELD
IN
D
3
.
131
20
CONSTRUCTIVE
SYMMETRY
BREAKING
.
133
21
SYMMETRY
BREAKING
IN
THE
ISING
MODEL
.
139
22
*
THERMAL
STATES
.
147
22.1
GIBBS
STATES
AND
KMS
CONDITION
.
148
22.2
GNS
REPRESENTATION
DEFINED
BY
A
GIBBS
STATE
.
151
22.3 KMS
STATES
IN
THE
THERMODYNAMICAL
LIMIT
.
154
22.4
PURE
PHASES.
EXTREMAL
AND
PRIMARY
KMS
STATES
.
156
23
FERMI
AND
BOSE
GASES
AT
NON-ZERO
TEMPERATURE
.
159
23.1
FREE
FERMI
AND
BOSE
GASES
IN
FINITE
VOLUME
.
159
23.2
FREE
FERMI
GAS
IN
THE
THERMODYNAMICAL
LIMIT
.
160
23.3
FREE
BOSE
GAS
IN
THE
THERMODYNAMICAL
LIMIT
.
163
23.4
BOSE-EINSTEIN
CONDENSATION
AND
SYMMETRY
BREAKING
.
164
24
QUANTUM
FIELDS
AT
NON-ZERO
TEMPERATURE
.
167
25
BREAKING
OF
CONTINUOUS
SYMMETRIES:
GOLDSTONE
*
S
THEOREM
.
169
25.1
THE
GOLDSTONE
THEOREM
.
170
25.2
A
CRITICAL
LOOK
AT
THE
HYPOTHESES
OF
GOLDSTONE
THEOREM
.
173
25.3
THE
GOLDSTONE
THEOREM
WITH
MATHEMATICAL
FLAVOUR
.
182
CONTENTS
XIII
26
*
THE
GOLDSTONE
THEOREM
AT
NON-ZERO
TEMPERATURE
.
187
27
THE
GOLDSTONE
THEOREM
FOR
RELATIVISTIC
LOCAL
FIELDS
.
191
28
AN
EXTENSION
OF
GOLDSTONE
THEOREM
TO
NON-SYMMETRIC
HAMILTONIANS
.
199
28.1
EXAMPLE:
SPIN
MODEL
WITH
MAGNETIC
FIELD
.
201
29
SYMMETRY
BREAKING
IN
GAUGE
THEORIES
.
203
29.1
HIGGS
MECHANISM:
PROBLEMS
OF
THE
PERTURBATIVE
APPROACH
.
203
29.2
HIGGS
MECHANISM
IN
LOCAL
GAUGES
.
206
29.3
HIGGS
MECHANISM
IN
THE
COULOMB
GAUGE
.
209
29.4
AXIAL
SYMMETRY
BREAKING
AND
U(L)
PROBLEM
.
214
PART
II
REFERENCES
APPENDIX
A:
LONG
RANGE
DYNAMICS
AND
VACUUM
SEIZING
.
225
APPENDIX
B:
BREAKING
OF
THE
GALILEI
GROUP
AND
PLASMON
ENERGY
SPECTRUM
.
237
APPENDIX
C:
ANDERSON
MODEL
OF
SUPERCONDUCTIVITY
.
245
APPENDIX
D:
GLOBAL
AND
LOCAL
GAUGE
SYMMETRIES
.
249
APPENDIX
E:
NON-ABELIAN
HIGGS
MECHANISM
.
257
APPENDIX
F:
U(L)
PROBLEM
SOLVED
BY
GAUGE
GROUP
TOPOLOGY
.
263
INDEX
.
283 |
| adam_txt |
CONTENTS
PART
I
SYMMETRY
BREAKING
IN
CLASSICAL
SYSTEMS
1
SYMMETRIES
OF
A
CLASSICAL
SYSTEM
.
5
2
SPONTANEOUS
SYMMETRY
BREAKING
.
7
3
SYMMETRIES
IN
CLASSICAL
FIELD
THEORY
.
11
4
GENERAL
PROPERTIES
OF
SOLUTIONS
OF
CLASSICAL
FIELD
EQUATIONS
.
17
5
STABLE
STRUCTURES,
HILBERT
SECTORS,
PHASES
.
21
6
STABILITY
UNDER
SPACE
TRANSLATIONS.
POSITIVE
ENERGY
.
31
7
NOETHER
THEOREM
AND
SYMMETRY
BREAKING
.
35
8
EXAMPLES
.
41
9
THE
GOLDSTONE
THEOREM
.
47
10
APPENDIX
.
53
10.1
PROPERTIES
OF
THE
FREE
WAVE
PROPAGATOR
.
53
10.2
THE
CAUCHY
PROBLEM
FOR
SMALL
TIMES
.
55
10.3
THE
GLOBAL
CAUCHY
PROBLEM
.
57
10.4
THE
NON-LINEAR
WAVE
EQUATION
WITH
DRIVING
TERM
.
59
10.5
TIME-INDEPENDENT
SOLUTIONS
DEFINING
PHYSICAL
SECTORS
. 60
PART
I
REFERENCES
PART
II
SYMMETRY
BREAKING
IN
QUANTUM
SYSTEMS
11
QUANTUM
MECHANICS.
ALGEBRAIC
STRUCTURE
AND
STATES
.
73
12
FOCK
REPRESENTATION
.
79
13
NON-FOCK
REPRESENTATIONS
.
87
XII
CONTENTS
14
MATHEMATICAL
DESCRIPTION
OF
INFINITELY
EXTENDED
QUANTUM
SYSTEMS
.
95
14.1
LOCAL
STRUCTURE
.
95
14.2
ASYMPTOTIC
ABELIANESS
.
97
15
PHYSICALLY
RELEVANT
REPRESENTATIONS
.
101
16
CLUSTER
PROPERTY
AND
PURE
PHASES
.
105
17
EXAMPLES
.
ILL
17.1
SPIN
SYSTEMS
WITH
SHORT-RANGE
INTERACTIONS
.
ILL
17.2
FREE
BOSE
GAS.
BOSE-EINSTEIN
CONDENSATION
.
113
17.3
*
APPENDIX:
THE
INFINITE
VOLUME
DYNAMICS
FOR
SHORT-RANGE
SPIN
INTERACTIONS
.
116
18
SYMMETRY
BREAKING
IN
QUANTUM
SYSTEMS
.
121
18.1
WIGNER
SYMMETRIES
.
121
18.2
SPONTANEOUS
SYMMETRY
BREAKING
.
124
18.3
SYMMETRY
BREAKING
ORDER
PARAMETER
.
127
19
EXAMPLES
.
129
19.1
HEISENBERG
FERROMAGNET
.
129
19.2
BOSE-EINSTEIN
CONDENSATION
.
130
19.3
MASSLESS
FIELD
IN
D
3
.
131
20
CONSTRUCTIVE
SYMMETRY
BREAKING
.
133
21
SYMMETRY
BREAKING
IN
THE
ISING
MODEL
.
139
22
*
THERMAL
STATES
.
147
22.1
GIBBS
STATES
AND
KMS
CONDITION
.
148
22.2
GNS
REPRESENTATION
DEFINED
BY
A
GIBBS
STATE
.
151
22.3 KMS
STATES
IN
THE
THERMODYNAMICAL
LIMIT
.
154
22.4
PURE
PHASES.
EXTREMAL
AND
PRIMARY
KMS
STATES
.
156
23
FERMI
AND
BOSE
GASES
AT
NON-ZERO
TEMPERATURE
.
159
23.1
FREE
FERMI
AND
BOSE
GASES
IN
FINITE
VOLUME
.
159
23.2
FREE
FERMI
GAS
IN
THE
THERMODYNAMICAL
LIMIT
.
160
23.3
FREE
BOSE
GAS
IN
THE
THERMODYNAMICAL
LIMIT
.
163
23.4
BOSE-EINSTEIN
CONDENSATION
AND
SYMMETRY
BREAKING
.
164
24
QUANTUM
FIELDS
AT
NON-ZERO
TEMPERATURE
.
167
25
BREAKING
OF
CONTINUOUS
SYMMETRIES:
GOLDSTONE
*
S
THEOREM
.
169
25.1
THE
GOLDSTONE
THEOREM
.
170
25.2
A
CRITICAL
LOOK
AT
THE
HYPOTHESES
OF
GOLDSTONE
THEOREM
.
173
25.3
THE
GOLDSTONE
THEOREM
WITH
MATHEMATICAL
FLAVOUR
.
182
CONTENTS
XIII
26
*
THE
GOLDSTONE
THEOREM
AT
NON-ZERO
TEMPERATURE
.
187
27
THE
GOLDSTONE
THEOREM
FOR
RELATIVISTIC
LOCAL
FIELDS
.
191
28
AN
EXTENSION
OF
GOLDSTONE
THEOREM
TO
NON-SYMMETRIC
HAMILTONIANS
.
199
28.1
EXAMPLE:
SPIN
MODEL
WITH
MAGNETIC
FIELD
.
201
29
SYMMETRY
BREAKING
IN
GAUGE
THEORIES
.
203
29.1
HIGGS
MECHANISM:
PROBLEMS
OF
THE
PERTURBATIVE
APPROACH
.
203
29.2
HIGGS
MECHANISM
IN
LOCAL
GAUGES
.
206
29.3
HIGGS
MECHANISM
IN
THE
COULOMB
GAUGE
.
209
29.4
AXIAL
SYMMETRY
BREAKING
AND
U(L)
PROBLEM
.
214
PART
II
REFERENCES
APPENDIX
A:
LONG
RANGE
DYNAMICS
AND
VACUUM
SEIZING
.
225
APPENDIX
B:
BREAKING
OF
THE
GALILEI
GROUP
AND
PLASMON
ENERGY
SPECTRUM
.
237
APPENDIX
C:
ANDERSON
MODEL
OF
SUPERCONDUCTIVITY
.
245
APPENDIX
D:
GLOBAL
AND
LOCAL
GAUGE
SYMMETRIES
.
249
APPENDIX
E:
NON-ABELIAN
HIGGS
MECHANISM
.
257
APPENDIX
F:
U(L)
PROBLEM
SOLVED
BY
GAUGE
GROUP
TOPOLOGY
.
263
INDEX
.
283 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Strocchi, Franco 1939- |
| author_GND | (DE-588)172389348 |
| author_facet | Strocchi, Franco 1939- |
| author_role | aut |
| author_sort | Strocchi, Franco 1939- |
| author_variant | f s fs |
| building | Verbundindex |
| bvnumber | BV047132038 |
| classification_rvk | UO 1500 |
| ctrlnum | (OCoLC)1241682639 (DE-599)DNB1213479150 |
| discipline | Physik |
| discipline_str_mv | Physik |
| edition | Third edition |
| format | Book |
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| id | DE-604.BV047132038 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T16:32:43Z |
| indexdate | 2024-12-09T13:05:55Z |
| institution | BVB |
| institution_GND | (DE-588)1065168780 |
| isbn | 9783662621646 3662621649 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032538123 |
| oclc_num | 1241682639 |
| open_access_boolean | |
| owner | DE-20 |
| owner_facet | DE-20 |
| physical | xiii, 286 Seiten |
| publishDate | 2021 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | Springer |
| record_format | marc |
| series2 | Theoretical and mathematical physics |
| spelling | Strocchi, Franco 1939- Verfasser (DE-588)172389348 aut Symmetry breaking Franco Strocchi Third edition Berlin Springer [2021] xiii, 286 Seiten txt rdacontent n rdamedia nc rdacarrier Theoretical and mathematical physics Symmetriebrechung (DE-588)4184200-5 gnd rswk-swf Gauge group topology Anderson model Gauge Symmetry Breaking Noether Theorem Infinitely Extended Quantum Systems Goldstone Theorem and Boson Galilei group Spontaneous Symmetry Breaking Higgs mechanism Symmetry Breaking Textbook Chiral Symmetry Breaking Symmetriebrechung (DE-588)4184200-5 s DE-604 Springer-Verlag GmbH (DE-588)1065168780 pbl Erscheint auch als Online-Ausgabe 978-3-662-62166-0 Vorangegangen ist 9783540735922 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=6b4024cd31e74ce0bd741d463ca3bb0c&prov=M&dok_var=1&dok_ext=htm Inhaltstext X:MVB http://www.springer.com/ DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032538123&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Strocchi, Franco 1939- Symmetry breaking Symmetriebrechung (DE-588)4184200-5 gnd |
| subject_GND | (DE-588)4184200-5 |
| title | Symmetry breaking |
| title_auth | Symmetry breaking |
| title_exact_search | Symmetry breaking |
| title_exact_search_txtP | Symmetry breaking |
| title_full | Symmetry breaking Franco Strocchi |
| title_fullStr | Symmetry breaking Franco Strocchi |
| title_full_unstemmed | Symmetry breaking Franco Strocchi |
| title_short | Symmetry breaking |
| title_sort | symmetry breaking |
| topic | Symmetriebrechung (DE-588)4184200-5 gnd |
| topic_facet | Symmetriebrechung |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=6b4024cd31e74ce0bd741d463ca3bb0c&prov=M&dok_var=1&dok_ext=htm http://www.springer.com/ http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032538123&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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