Symmetry breaking:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2008
|
| Edition: | 2. ed. |
| Series: | Lecture notes in physics
732 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 216 S. |
| ISBN: | 9783540735922 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV023043659 | ||
| 003 | DE-604 | ||
| 005 | 20080611 | ||
| 007 | t | ||
| 008 | 071211s2008 gw |||| 00||| eng d | ||
| 020 | |a 9783540735922 |c Gb. : EUR 53.45 (freier Pr.), CHF 88.50 |9 978-3-540-73592-2 | ||
| 035 | |a (OCoLC)183531756 | ||
| 035 | |a (DE-599)BVBBV023043659 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-355 |a DE-384 |a DE-703 |a DE-91G |a DE-29T |a DE-11 |a DE-20 | ||
| 050 | 0 | |a QC174.17.S9 | |
| 082 | 0 | |a 539.7/25 |2 22 | |
| 082 | 0 | |a 510 | |
| 084 | |a UD 8220 |0 (DE-625)145543: |2 rvk | ||
| 084 | |a PHY 012f |2 stub | ||
| 100 | 1 | |a Strocchi, Franco |d 1939- |e Verfasser |0 (DE-588)172389348 |4 aut | |
| 245 | 1 | 0 | |a Symmetry breaking |c F. Strocchi |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2008 | |
| 300 | |a X, 216 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in physics |v 732 | |
| 650 | 7 | |a Física |2 larpcal | |
| 650 | 4 | |a Broken symmetry (Physics) | |
| 650 | 0 | 7 | |a Symmetriebrechung |0 (DE-588)4184200-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Symmetriebrechung |0 (DE-588)4184200-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Lecture notes in physics |v 732 |w (DE-604)BV000003166 |9 732 | |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016247144&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-016247144 | ||
Record in the Search Index
| _version_ | 1804137273227214848 |
|---|---|
| adam_text | Contents
Part I Symmetry Breaking in Classical Systems
Introduction to Part I
........................................... 3
1
Symmetries of a Classical System
.............................. 7
2
Spontaneous Symmetry Breaking
.............................. 9
3
Symmetries in Classical Field Theory
.......................... 13
4
General Properties of Solutions of Classical Field Equations
...... 17
5
Stable Structures, Hubert Sectors, Phases
...................... 21
6
Stability under Space Translations. Positive Energy
.............. 29
7
Noether Theorem and Symmetry Breaking
..................... 33
8
Examples
.................................................. 39
9
The
Goldstone
Theorem
...................................... 45
10
Appendix
.................................................. 51
A Properties of the Free Wave Propagator
................... 51
В
The Cauchy Problem for Small Times
..................... 53
С
The Global Cauchy Problem
............................. 55
D
The Non-linear Wave Equation with Driving Term
......... 56
E
Time Independent Solutions Defining Physical Sectors
...... 58
Part II Symmetry Breaking in Quantum Systems
Introduction to Part II
.......................................... 63
1
Quantum Mechanics. Algebraic Structure and States
............. 67
2
Fock Representation
......................................... 73
3
Non-Fock Representations
.................................... 81
4
Mathematical Description of Infinitely Extended Quantum Systems
89
4.1
Local Structure
........................................ 89
4.2
Asymptotic Abelianess
.................................. 91
5
Physically Relevant Representations
........................... 95
6
Cluster Property and Pure Phases
............................. 99
7
Examples
..................................................105
7.1
Spin Systems with Short Range Interactions
...............105
7.2
Free
Bose
Gas. Bose-Einstein Condensation
................106
X
Contents
7.3 * Appendix: The Infinite Volume Dynamics
for
Short Range
Spin Interactions
........................110
8
Symmetry Breaking in
Quantum Systems ......................115
8.1 Wigner
Symmetries
.....................................115
8.2
Spontaneous Symmetry Breaking
.........................118
8.3
Symmetry Breaking Order Parameter
.....................120
9
Examples
..................................................123
10
Constructive Symmetry Breaking
..............................127
11
Symmetry Breaking in the Ising Model
.........................131
12 *
Thermal States
............................................139
12.1
Gibbs States and KMS Condition
........................139
12.2
GNS Representation Defined by a Gibbs State
.............143
12.3
KMS States in the Thermodynamical Limit
................146
12.4
Pure Phases. Extremal and Primary KMS States
...........147
13
Fermi and
Bose
Gas at Non-zero Temperature
..................151
14
Quantum Fields at Non-zero Temperature
......................159
15
Breaking of Continuous Symmetries. Goldstone s Theorem
........161
15.1
The Goldstone s Theorem
...............................162
15.2
A Critical Look at the Hypotheses of
Goldstone
Theorem
... 164
15.3
The
Goldstone
Theorem with Mathematical Flavor
.........174
16 *
The
Goldstone
Theorem at Non-zero Temperature
.............177
17
The
Goldstone
Theorem for Relativistic Local Fields
.............181
18
An Extension of
Goldstone
Theorem
to Non-symmetric Hamiltonians
...............................189
18.1
Example. Spin Model with Magnetic Field
............:... 191
19
Symmetry Breaking in Gauge Theories
.........................193
19.1
Higgs Mechanism. Problems of the Perturbative Approach
... 193
19.2
Higgs Mechanism in Local gauges
........................196
19.3
Higgs Mechanism in the Coulomb Gauge
..................199
19.4
Axial Symmetry Breaking and U(l) Problem
..............204
References
.....................................................207
Index
.........................................................215
|
| adam_txt |
Contents
Part I Symmetry Breaking in Classical Systems
Introduction to Part I
. 3
1
Symmetries of a Classical System
. 7
2
Spontaneous Symmetry Breaking
. 9
3
Symmetries in Classical Field Theory
. 13
4
General Properties of Solutions of Classical Field Equations
. 17
5
Stable Structures, Hubert Sectors, Phases
. 21
6
Stability under Space Translations. Positive Energy
. 29
7
Noether Theorem and Symmetry Breaking
. 33
8
Examples
. 39
9
The
Goldstone
Theorem
. 45
10
Appendix
. 51
A Properties of the Free Wave Propagator
. 51
В
The Cauchy Problem for Small Times
. 53
С
The Global Cauchy Problem
. 55
D
The Non-linear Wave Equation with Driving Term
. 56
E
Time Independent Solutions Defining Physical Sectors
. 58
Part II Symmetry Breaking in Quantum Systems
Introduction to Part II
. 63
1
Quantum Mechanics. Algebraic Structure and States
. 67
2
Fock Representation
. 73
3
Non-Fock Representations
. 81
4
Mathematical Description of Infinitely Extended Quantum Systems
89
4.1
Local Structure
. 89
4.2
Asymptotic Abelianess
. 91
5
Physically Relevant Representations
. 95
6
Cluster Property and Pure Phases
. 99
7
Examples
.105
7.1
Spin Systems with Short Range Interactions
.105
7.2
Free
Bose
Gas. Bose-Einstein Condensation
.106
X
Contents
7.3 * Appendix: The Infinite Volume Dynamics
for
Short Range
Spin Interactions
.110
8
Symmetry Breaking in
Quantum Systems .115
8.1 Wigner
Symmetries
.115
8.2
Spontaneous Symmetry Breaking
.118
8.3
Symmetry Breaking Order Parameter
.120
9
Examples
.123
10
Constructive Symmetry Breaking
.127
11
Symmetry Breaking in the Ising Model
.131
12 *
Thermal States
.139
12.1
Gibbs States and KMS Condition
.139
12.2
GNS Representation Defined by a Gibbs State
.143
12.3
KMS States in the Thermodynamical Limit
.146
12.4
Pure Phases. Extremal and Primary KMS States
.147
13
Fermi and
Bose
Gas at Non-zero Temperature
.151
14
Quantum Fields at Non-zero Temperature
.159
15
Breaking of Continuous Symmetries. Goldstone's Theorem
.161
15.1
The Goldstone's Theorem
.162
15.2
A Critical Look at the Hypotheses of
Goldstone
Theorem
. 164
15.3
The
Goldstone
Theorem with Mathematical Flavor
.174
16 *
The
Goldstone
Theorem at Non-zero Temperature
.177
17
The
Goldstone
Theorem for Relativistic Local Fields
.181
18
An Extension of
Goldstone
Theorem
to Non-symmetric Hamiltonians
.189
18.1
Example. Spin Model with Magnetic Field
.:. 191
19
Symmetry Breaking in Gauge Theories
.193
19.1
Higgs Mechanism. Problems of the Perturbative Approach
. 193
19.2
Higgs Mechanism in Local gauges
.196
19.3
Higgs Mechanism in the Coulomb Gauge
.199
19.4
Axial Symmetry Breaking and U(l) Problem
.204
References
.207
Index
.215 |
| 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 | BV023043659 |
| callnumber-first | Q - Science |
| callnumber-label | QC174 |
| callnumber-raw | QC174.17.S9 |
| callnumber-search | QC174.17.S9 |
| callnumber-sort | QC 3174.17 S9 |
| callnumber-subject | QC - Physics |
| classification_rvk | UD 8220 |
| classification_tum | PHY 012f |
| ctrlnum | (OCoLC)183531756 (DE-599)BVBBV023043659 |
| dewey-full | 539.7/25 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 539 - Modern physics 510 - Mathematics |
| dewey-raw | 539.7/25 510 |
| dewey-search | 539.7/25 510 |
| dewey-sort | 3539.7 225 |
| dewey-tens | 530 - Physics 510 - Mathematics |
| discipline | Physik Mathematik |
| discipline_str_mv | Physik Mathematik |
| edition | 2. ed. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01586nam a2200433 cb4500</leader><controlfield tag="001">BV023043659</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20080611 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">071211s2008 gw |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783540735922</subfield><subfield code="c">Gb. : EUR 53.45 (freier Pr.), CHF 88.50</subfield><subfield code="9">978-3-540-73592-2</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)183531756</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV023043659</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">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-20</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QC174.17.S9</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">539.7/25</subfield><subfield code="2">22</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</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">PHY 012f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Strocchi, Franco</subfield><subfield code="d">1939-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)172389348</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Symmetry breaking</subfield><subfield code="c">F. Strocchi</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">2. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2008</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 216 S.</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">732</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Física</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Broken symmetry (Physics)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Symmetriebrechung</subfield><subfield code="0">(DE-588)4184200-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Symmetriebrechung</subfield><subfield code="0">(DE-588)4184200-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Lecture notes in physics</subfield><subfield code="v">732</subfield><subfield code="w">(DE-604)BV000003166</subfield><subfield code="9">732</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Regensburg</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=016247144&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:BVB01-016247144</subfield></datafield></record></collection> |
| id | DE-604.BV023043659 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T19:21:34Z |
| indexdate | 2024-07-09T21:09:40Z |
| institution | BVB |
| isbn | 9783540735922 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016247144 |
| oclc_num | 183531756 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-384 DE-703 DE-91G DE-BY-TUM DE-29T DE-11 DE-20 |
| owner_facet | DE-355 DE-BY-UBR DE-384 DE-703 DE-91G DE-BY-TUM DE-29T DE-11 DE-20 |
| physical | X, 216 S. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in physics |
| series2 | Lecture notes in physics |
| spelling | Strocchi, Franco 1939- Verfasser (DE-588)172389348 aut Symmetry breaking F. Strocchi 2. ed. Berlin [u.a.] Springer 2008 X, 216 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in physics 732 Física larpcal Broken symmetry (Physics) Symmetriebrechung (DE-588)4184200-5 gnd rswk-swf Symmetriebrechung (DE-588)4184200-5 s DE-604 Lecture notes in physics 732 (DE-604)BV000003166 732 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016247144&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Strocchi, Franco 1939- Symmetry breaking Lecture notes in physics Física larpcal Broken symmetry (Physics) 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 F. Strocchi |
| title_fullStr | Symmetry breaking F. Strocchi |
| title_full_unstemmed | Symmetry breaking F. Strocchi |
| title_short | Symmetry breaking |
| title_sort | symmetry breaking |
| topic | Física larpcal Broken symmetry (Physics) Symmetriebrechung (DE-588)4184200-5 gnd |
| topic_facet | Física Broken symmetry (Physics) Symmetriebrechung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016247144&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003166 |
| work_keys_str_mv | AT strocchifranco symmetrybreaking |