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Methods of Quantization / Lectures Held at the 39. Universitätswochen für Kern- und Teilchenphysik, Schladming, Austria / Wolfgang Schweiger (u. a.) / Taschenbuch / Lecture Notes in Physics / XI - Schweiger, Wolfgang
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Methods of Quantization: Lectures Held at the 39. Universitaetswochen fuer Kern- und Teilchenphysik, Schladming, Austria (Lecture Notes in Physics) - Livres de poche

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Methods of Quantization

Thisvolumecontainsthewrittenversionsofinvitedlecturespresentedat the"39. InternationaleUniversitatswochenfur .. Kern-undTeilchenphysik"in Schladming, Austria, which took place from February 26th to March 4th, 2000. The title of the school was "Methods of Quantization". This is, of course,averybroad?eld,soonlysomeofthenewandinterestingdevel- mentscouldbecoveredwithinthescopeoftheschool. About75yearsagoSchrodingerpresentedhisfamouswaveequationand Heisenbergcameupwithhisalgebraicapproachtothequantum-theoretical treatmentofatoms. Aimingmainlyatanappropriatedescriptionofatomic systems, these original developments did not take into consideration E- stein'stheoryofspecialrelativity. WiththeworkofDirac,Heisenberg,and Pauliitsoonbecameobviousthatauni?edtreatmentofrelativisticandqu- tume?ectsisachievedbymeansoflocalquantum?eldtheory,i. e. anintrinsic many-particletheory. Mostofourpresentunderstandingoftheelementary buildingblocksofmatterandtheforcesbetweenthemisbasedonthequ- tizedversionof?eldtheorieswhicharelocallysymmetricundergaugetra- formations. Nowadays,theprevailingtoolsforquantum-?eldtheoreticalc- culationsarecovariantperturbationtheoryandfunctional-integralmethods. Beingnotmanifestlycovariant,theHamiltonianapproachtoquantum-?eld theorieslagssomewhatbehind,althoughitresemblesverymuchthefamiliar nonrelativisticquantummechanicsofpointparticles. Aparticularlyintere- ingHamiltonianformulationofquantum-?eldtheoriesisobtainedbyqu- tizingthe?eldsonhypersurfacesoftheMinkowsispacewhicharetangential tothelightcone. The"timeevolution"ofthesystemisthenconsideredin + "light-conetime"x =t+z/c. Theappealingfeaturesof"light-conequ- tization",whicharethereasonsfortherenewedinterestinthisformulation ofquantum?eldtheories,werehighlightedinthelecturesofBernardBakker andThomasHeinzl. Oneoftheopenproblemsoflight-conequantizationis theissueofspontaneoussymmetrybreaking. Thiscanbetracedbacktozero modeswhich,ingeneral,aresubjecttocomplicatedconstraintequations. A generalformalismforthequanti

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EAN (ISBN-13): 9783662143360
ISBN (ISBN-10): 3662143364
Livre de poche
Date de parution: 2013
Editeur: Springer Berlin

Livre dans la base de données depuis 2014-04-17T18:55:04+02:00 (Zurich)
Page de détail modifiée en dernier sur 2024-02-21T16:40:09+01:00 (Zurich)
ISBN/EAN: 9783662143360

ISBN - Autres types d'écriture:
3-662-14336-4, 978-3-662-14336-0
Autres types d'écriture et termes associés:
Auteur du livre: schweiger, heim, wolfgang, wolf, alekseev
Titre du livre: schladming, lectures, kern und teilchenphysik, quant


Données de l'éditeur

Auteur: Heimo Latal; Wolfgang Schweiger
Titre: Lecture Notes in Physics; Methods of Quantization - Lectures Held at the 39. Universitätswochen für Kern- und Teilchenphysik, Schladming, Austria
Editeur: Springer; Springer Berlin
228 Pages
Date de parution: 2013-10-03
Berlin; Heidelberg; DE
Imprimé / Fabriqué en
Langue: Anglais
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
POD
XI, 228 p. 8 illus.

BC; Hardcover, Softcover / Physik, Astronomie/Theoretische Physik; Mathematische Physik; Verstehen; Particle Physics; algebraic renormalization; light-cone quantization; quantization; quantization of constrained systems; quantum field theory; renormalization; white-noise analysis; Mathematical Methods in Physics; Elementary Particles, Quantum Field Theory; Teilchen- und Hochenergiephysik; BB

Most of our present understanding of the elementary building blocks of matter and the forces between them is based on the quantized version of the field theories which are locally symmetric under gauge transformations. The present set of lecture notes gives both a status report and a survey of recent advances for the most important quantization methods in the field theories for elementary particle physics. The first part of the book introduces light-cone quantization as an interesting alternative to the commonly used covariant perturbation theory and functional-integral methods. Next, a general formalism for quantizing systems with constraints, the projection-operator approach, is presented and structural aspects of the renormalization problem for gauge invariant field theories are discussed. Finally, the mathematics underlying the functional-integral quantization is reviewed. Suitable as a reference for researchers in the field, the book will prove particularly useful for lecturers and graduate students in search of additional reading beyond the standard texts on quantum field theory.
Includes supplementary material: sn.pub/extras

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