Introduction to quantum fields on a lattice "a robust mate"
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Cambridge Univ. Press
2002
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| Ausgabe: | 1. publ. |
| Schriftenreihe: | Cambridge lecture notes in physics
15 |
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| Online-Zugang: | Publisher description Table of contents Inhaltsverzeichnis |
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| 020 | |a 9780521890519 |9 978-0-521-89051-9 | ||
| 020 | |a 0521890519 |9 0-521-89051-9 | ||
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| 100 | 1 | |a Smit, Jan |d 1943- |e Verfasser |0 (DE-588)136021808 |4 aut | |
| 245 | 1 | 0 | |a Introduction to quantum fields on a lattice |b "a robust mate" |c Jan Smit |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a New York [u.a.] |b Cambridge Univ. Press |c 2002 | |
| 300 | |a XII, 271 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Cambridge lecture notes in physics |v 15 | |
| 500 | |a Hier auch später erschienene, unveränderte Nachdrucke. - Includes bibliographical references and index | ||
| 650 | 7 | |a Champs, Théorie quantique des |2 ram | |
| 650 | 7 | |a Treillis, Théorie des |2 ram | |
| 650 | 4 | |a Lattice theory | |
| 650 | 4 | |a Quantum field theory | |
| 650 | 0 | 7 | |a Gitterfeldtheorie |0 (DE-588)4296098-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Quantenfeldtheorie |0 (DE-588)4047984-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Quantenfeldtheorie |0 (DE-588)4047984-5 |D s |
| 689 | 0 | 1 | |a Gitterfeldtheorie |0 (DE-588)4296098-8 |D s |
| 689 | 0 | |C b |5 DE-604 | |
| 830 | 0 | |a Cambridge lecture notes in physics |v 15 |w (DE-604)BV009623742 |9 15 | |
| 856 | 4 | |u http://www.loc.gov/catdir/description/cam022/2002016584.html |3 Publisher description | |
| 856 | 4 | |u http://www.loc.gov/catdir/toc/cam022/2002016584.html |3 Table of contents | |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg - ADAM Catalogue Enrichment |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009839186&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-009839186 | |
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0202 PHY 023f 2003 A 48 |
|---|---|
| DE-BY-TUM_katkey | 1371555 |
| DE-BY-TUM_location | 02 |
| DE-BY-TUM_media_number | 040020711453 |
| _version_ | 1820881367735468032 |
| adam_text | Contents
Preface page
xi
1
Introduction
1
1.1
QED, QCD, and
confinement
1
1.2
Scalar
field
5
2
Path-integral and
lattice regularization
8
2.1
Path integral in quantum mechanics
8
2.2
Regularization by discretization
10
2.3
Analytic continuation to imaginary time
12
2.4
Spectrum of the transfer operator
13
2.5
Latticization of the scalar field
15
2.6
Transfer operator for the scalar field
18
2.7
Fourier transformation on the lattice
20
2.8
Free scalar field
22
2.9
Particle interpretation
25
2.10
Back to real time
26
2.11
Problems
28
3
O(n) models
32
3.1 Goldstone
bosons
32
3.2
O(n) models as spin models
34
3.3
Phase diagram and critical line
36
3.4
Weak-coupling expansion
39
3.5
Renormalization
46
3.6
Renormalization-group beta functions
48
3.7
Hopping expansion
51
3.8 Lüscher-Weisz
solution
55
3.9
Numerical simulation
60
vii
viii Contents
3.10
Real-space renormalizatioii group and universality
67
3.11
Universality at weak coupling
71
3.12
Triviality and the Standard Model
74
3.13
Problems
79
4
Gauge field on the lattice
83
4.1
QED action
83
4.2
QCD action
85
4.3
Lattice gauge field
90
4.4
Gauge-invariant lattice path integral
95
4.5
Compact and non-compact Abelian gauge theory
97
4.6
Hubert space and transfer operator
99
4.7
The kinetic-energy operator
Ю2
4.8
Hamiltonian for continuous time
Ю5
4.9
Wilson loop and Polyakov line
Ю?
4.10
Problems 112
5
f/(l)and
SU
(it.) gauge theory
5.1
Potential at weak coupling
5.2
Asymptotic freedom
5.3
Strong-coupling expansion
5.4
Potential at strong coupling
129
5.5
Confinement versus screening
132
5.6
Glueballs I35
5.7
Coulomb phase, confinement phase
13
5.8
Mechanisms of confinement
1**°
5.9
Scaling and asymptotic scaling, numerical results
140
5.10
Problems I44
6
Fermions on
the lattice
6.1
Naive discretization of the Dirac action
6.2
Species doubling
6.3
Wilson s fermion method
6.4
Staggered
fermions
6.5
Transfer operator for Wilson
fermions
6.6
Problems I65
7
Low-mass hadrons in QCD
7.1
Integrating over the fermion fields
1
7.2
Hopping expansion for the fermion propagator
1^1
7.3
Meson and baryon propagators
1
7.4
Hadron masses at strong coupling
1
Contents ix
7.5
Numerical results
179
7.6
The parameters of QCD
188
7.7
Computing the gauge coupling from the masses
190
7.8
Problems
190
8
Chiral symmetry
193
8.1
Chiral symmetry and effective action in QCD
193
8.2
Pseudoscalar masses and the
U
(I) problem
199
8.3
Chiral anomalies
202
8.4
Chiral symmetry and the lattice
204
8.5
Spontaneous breaking of chiral symmetry
212
8.
β
Chiral gauge theory
217
8.7
Outlook
223
8.8
Problems
223
Appendix A SU(n)
229
A.I Fundamental representation of
SU(ìì)
22í)
Α.
2
Adjoint representation of SU(ii)
231
A.3 Left and right translations in SU(n)
234
ΑΛ
Tensor method for SU(n)
236
Appendix
В
Quantization in the temporal gauge
239
Appendix
C Fermionic
coherent states
242
Appendix
D
Spinor
fields
253
Notes
258
References
261
Index
267
|
| any_adam_object | 1 |
| author | Smit, Jan 1943- |
| author_GND | (DE-588)136021808 |
| author_facet | Smit, Jan 1943- |
| author_role | aut |
| author_sort | Smit, Jan 1943- |
| author_variant | j s js |
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| bvnumber | BV014352039 |
| classification_rvk | UO 4000 |
| classification_tum | PHY 023f |
| ctrlnum | (OCoLC)491064935 (DE-599)BVBBV014352039 |
| dewey-full | 530.143 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.143 |
| dewey-search | 530.143 |
| dewey-sort | 3530.143 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV014352039 |
| illustrated | Illustrated |
| indexdate | 2024-12-23T15:55:55Z |
| institution | BVB |
| isbn | 9780521890519 0521890519 |
| language | English |
| lccn | 2002016584 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009839186 |
| oclc_num | 491064935 |
| open_access_boolean | |
| owner | DE-29T DE-703 DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-634 DE-11 |
| owner_facet | DE-29T DE-703 DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-634 DE-11 |
| physical | XII, 271 S. graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | Cambridge lecture notes in physics |
| series2 | Cambridge lecture notes in physics |
| spellingShingle | Smit, Jan 1943- Introduction to quantum fields on a lattice "a robust mate" Cambridge lecture notes in physics Champs, Théorie quantique des ram Treillis, Théorie des ram Lattice theory Quantum field theory Gitterfeldtheorie (DE-588)4296098-8 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd |
| subject_GND | (DE-588)4296098-8 (DE-588)4047984-5 |
| title | Introduction to quantum fields on a lattice "a robust mate" |
| title_auth | Introduction to quantum fields on a lattice "a robust mate" |
| title_exact_search | Introduction to quantum fields on a lattice "a robust mate" |
| title_full | Introduction to quantum fields on a lattice "a robust mate" Jan Smit |
| title_fullStr | Introduction to quantum fields on a lattice "a robust mate" Jan Smit |
| title_full_unstemmed | Introduction to quantum fields on a lattice "a robust mate" Jan Smit |
| title_short | Introduction to quantum fields on a lattice |
| title_sort | introduction to quantum fields on a lattice a robust mate |
| title_sub | "a robust mate" |
| topic | Champs, Théorie quantique des ram Treillis, Théorie des ram Lattice theory Quantum field theory Gitterfeldtheorie (DE-588)4296098-8 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd |
| topic_facet | Champs, Théorie quantique des Treillis, Théorie des Lattice theory Quantum field theory Gitterfeldtheorie Quantenfeldtheorie |
| url | http://www.loc.gov/catdir/description/cam022/2002016584.html http://www.loc.gov/catdir/toc/cam022/2002016584.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009839186&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV009623742 |
| work_keys_str_mv | AT smitjan introductiontoquantumfieldsonalatticearobustmate |