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Introduction to quantum fields on a lattice : 'a robust mate' /
This book provides a concrete introduction to quantum fields on a lattice: a precise and non-perturbative definition of quantum field theory obtained by replacing continuous space-time by a discrete set of points on a lattice. The path integral on the lattice is explained in concrete examples using...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge, UK ; New York :
Cambridge University Press,
2002.
|
| Colección: | Cambridge lecture notes in physics ;
15. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Smit, Jan, |d 1943- | |
| 245 | 1 | 0 | |a Introduction to quantum fields on a lattice : |b 'a robust mate' / |c Jan Smit. |
| 260 | |a Cambridge, UK ; |a New York : |b Cambridge University Press, |c 2002. | ||
| 300 | |a 1 online resource (xii, 271 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
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| 490 | 1 | |a Cambridge lecture notes in physics ; |v 15 | |
| 504 | |a Includes bibliographical references (pages 261-266) and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a This book provides a concrete introduction to quantum fields on a lattice: a precise and non-perturbative definition of quantum field theory obtained by replacing continuous space-time by a discrete set of points on a lattice. The path integral on the lattice is explained in concrete examples using weak and strong coupling expansions. Fundamental concepts such as 'triviality' of Higgs fields and confinement of quarks and gluons into hadrons are described and illustrated with the results of numerical simulations. The book also provides an introduction to chiral symmetry and chiral gauge theory, as well as quantized non-abelian gauge fields, scaling and universality. Based on the lecture notes of a course given by the author, this book contains many explanatory examples and exercises, and is suitable as a textbook for advanced undergraduate and graduate courses. | ||
| 505 | 0 | 0 | |t QED, QCD, and confinement -- |t Scalar field -- |t Path-integral and lattice regularization -- |t Path integral in quantum mechanics -- |t Regularization by discretization -- |t Analytic continuation to imaginary time -- |t Spectrum of the transfer operator -- |t Latticization of the scalar field -- |t Transfer operator for the scalar field -- |t Fourier transformation on the lattice -- |t Free scalar field -- |t Particle interpretation -- |t Back to real time -- |t O(n) models -- |t Goldstone bosons -- |t O(n) models as spin models -- |t Phase diagram and critical line -- |t Weak-coupling expansion -- |t Renormalization -- |t Renormalization-group beta functions -- |t Hopping expansion -- |t Luscher-Weisz solution -- |t Numerical simulation -- |t Real-space renormalization group and universality -- |t Universality at weak coupling -- |t Triviality and the Standard Model -- |t Gauge field on the lattice -- |t QED action -- |t QCD action -- |t Lattice gauge field -- |t Gauge-invariant lattice path integral -- |t Compact and non-compact Abelian gauge theory -- |t Hilbert space and transfer operator -- |t The kinetic-energy operator -- |t Hamiltonian for continuous time -- |t Wilson loop and Polyakov line -- |t U(1) and SU(n) gauge theory -- |t Potential at weak coupling -- |t Asymptotic freedom -- |t Strong-coupling expansion -- |t Potential at strong coupling -- |t Confinement versus screening -- |t Glueballs -- |t Coulomb phase, confinement phase -- |t Mechanisms of confinement -- |t Scaling and asymptotic scaling, numerical results -- |t Fermions on the lattice -- |t Naive discretization of the Dirac action -- |t Species doubling -- |t Wilson's fermion method. |
| 546 | |a English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Quantum field theory. | |
| 650 | 0 | |a Lattice theory. | |
| 650 | 6 | |a Théorie quantique des champs. | |
| 650 | 6 | |a Théorie des treillis. | |
| 650 | 7 | |a SCIENCE |x Waves & Wave Mechanics. |2 bisacsh | |
| 650 | 0 | 7 | |a Quantum field theory. |2 cct |
| 650 | 0 | 7 | |a Lattice theory. |2 cct |
| 650 | 7 | |a Lattice theory. |2 fast |0 (OCoLC)fst00993426 | |
| 650 | 7 | |a Quantum field theory. |2 fast |0 (OCoLC)fst01085105 | |
| 650 | 7 | |a Gitterfeldtheorie |2 gnd | |
| 776 | 0 | 8 | |i Print version: |a Smit, Jan, 1943- |t Introduction to quantum fields on a lattice. |d Cambridge, UK ; New York : Cambridge University Press, 2002 |z 0521890519 |w (DLC) 2002016584 |w (OCoLC)48796337 |
| 830 | 0 | |a Cambridge lecture notes in physics ; |v 15. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=78389 |z Texto completo |
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