An Introduction to Non-Perturbative Foundations of Quantum Field Theory
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1
An Introduction to Non-Perturbative Foundations of Quantum Field Theory (2016)
EN NWISBN: 9780198789239 bzw. 0198789238, in Englisch, Oxford University Press, neu.
Von Händler/Antiquariat, Books2Anywhere [190245], Fairford, GLOS, United Kingdom.
New Book. Shipped from UK in 4 to 14 days. Established seller since 2000.
New Book. Shipped from UK in 4 to 14 days. Established seller since 2000.
2
An Introduction to Non-Perturbative Foundations of Quantum Field Theory (Paperback) (2016)
EN PB NWISBN: 9780198789239 bzw. 0198789238, in Englisch, Oxford University Press, United Kingdom, Taschenbuch, neu.
Lieferung aus: Vereinigtes Königreich Grossbritannien und Nordirland, Versandkostenfrei.
Von Händler/Antiquariat, The Book Depository US [58762574], London, United Kingdom.
Language: N/A. Brand New Book. Quantum Field Theory (QFT) has proved to be the most useful strategy for the description of elementary particle interactions and as such is regarded as a fundamental part of modern theoretical physics. In most presentations, the emphasis is on the effectiveness of the theory in producing experimentally testable predictions, which at present essentially means Perturbative QFT. However, after more than fifty years of QFT, we still are in the embarrassing situation of not knowing a single non-trivial (even non-realistic) model of QFT in 3+1 dimensions, allowing a non-perturbative control. As a reaction to these consistency problems one may take the position that they are related to our ignorance of the physics of small distances and that QFT is only an effective theory, so that radically new ideas are needed for a consistent quantum theory of relativistic interactions (in 3+1 dimensions). The book starts by discussing the conflict between locality or hyperbolicity and positivity of the energy for relativistic wave equations, which marks the origin of quantum field theory, and the mathematical problems of the perturbative expansion (canonical quantization, interaction picture, non-Fock representation, asymptotic convergence of the series etc.). The general physical principles of positivity of the energy, Poincare covariance and locality provide a substitute for canonical quantization, qualify the non-perturbative foundation and lead to very relevant results, like the Spin-statistics theorem, TCP symmetry, a substitute for canonical quantization, non-canonical behaviour, the euclidean formulation at the basis of the functional integral approach, the non-perturbative definition of the S-matrix (LSZ, Haag-Ruelle-Buchholz theory). A characteristic feature of gauge field theories is Gauss law constraint. It is responsible for the conflict between locality of the charged fields and positivity, it yields the superselection of the (unbroken) gauge charges, provides a non-perturbative explanation of the Higgs mechanism in the local gauges, implies the infraparticle structure of the charged particles in QED and the breaking of the Lorentz group in the charged sectors. A non-perturbative proof of the Higgs mechanism is discussed in the Coulomb gauge: the vector bosons corresponding to the broken generators are massive and their two point function dominates the Goldstone spectrum, thus excluding the occurrence of massless Goldstone bosons. The solution of the U(1) problem in QCD, the theta vacuum structure and the inevitable breaking of the chiral symmetry in each theta sector are derived solely from the topology of the gauge group, without relying on the semiclassical instanton approximation.
Von Händler/Antiquariat, The Book Depository US [58762574], London, United Kingdom.
Language: N/A. Brand New Book. Quantum Field Theory (QFT) has proved to be the most useful strategy for the description of elementary particle interactions and as such is regarded as a fundamental part of modern theoretical physics. In most presentations, the emphasis is on the effectiveness of the theory in producing experimentally testable predictions, which at present essentially means Perturbative QFT. However, after more than fifty years of QFT, we still are in the embarrassing situation of not knowing a single non-trivial (even non-realistic) model of QFT in 3+1 dimensions, allowing a non-perturbative control. As a reaction to these consistency problems one may take the position that they are related to our ignorance of the physics of small distances and that QFT is only an effective theory, so that radically new ideas are needed for a consistent quantum theory of relativistic interactions (in 3+1 dimensions). The book starts by discussing the conflict between locality or hyperbolicity and positivity of the energy for relativistic wave equations, which marks the origin of quantum field theory, and the mathematical problems of the perturbative expansion (canonical quantization, interaction picture, non-Fock representation, asymptotic convergence of the series etc.). The general physical principles of positivity of the energy, Poincare covariance and locality provide a substitute for canonical quantization, qualify the non-perturbative foundation and lead to very relevant results, like the Spin-statistics theorem, TCP symmetry, a substitute for canonical quantization, non-canonical behaviour, the euclidean formulation at the basis of the functional integral approach, the non-perturbative definition of the S-matrix (LSZ, Haag-Ruelle-Buchholz theory). A characteristic feature of gauge field theories is Gauss law constraint. It is responsible for the conflict between locality of the charged fields and positivity, it yields the superselection of the (unbroken) gauge charges, provides a non-perturbative explanation of the Higgs mechanism in the local gauges, implies the infraparticle structure of the charged particles in QED and the breaking of the Lorentz group in the charged sectors. A non-perturbative proof of the Higgs mechanism is discussed in the Coulomb gauge: the vector bosons corresponding to the broken generators are massive and their two point function dominates the Goldstone spectrum, thus excluding the occurrence of massless Goldstone bosons. The solution of the U(1) problem in QCD, the theta vacuum structure and the inevitable breaking of the chiral symmetry in each theta sector are derived solely from the topology of the gauge group, without relying on the semiclassical instanton approximation.
3
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An Introduction to Non-Perturbative Foundations of Quantum Field Theory (2016)
EN PB NWISBN: 9780198789239 bzw. 0198789238, in Englisch, Oxford University Press, Taschenbuch, neu.
Lieferung aus: Niederlande, 4-8 werkdagen.
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4
An Introduction to Non-Perturbative Foundations of Quantum Field Theory
EN PB NWISBN: 9780198789239 bzw. 0198789238, in Englisch, OUP Oxford, Taschenbuch, neu.
Von Händler/Antiquariat, THE SAINT BOOKSTORE [51194787], Southport, United Kingdom.
BRAND NEW, An Introduction to Non-Perturbative Foundations of Quantum Field Theory, Franco Strocchi.
BRAND NEW, An Introduction to Non-Perturbative Foundations of Quantum Field Theory, Franco Strocchi.
5
An Introduction to Non-Perturbative Foundations of Quantum Field Theory
~EN NWISBN: 9780198789239 bzw. 0198789238, vermutlich in Englisch, Oxford University Press, Vereinigtes Königreich Grossbritannien und Nordirland, neu.
Lieferung aus: Kanada, Lagernd, zzgl. Versandkosten.
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6
An Introduction to Non-Perturbative Foundations of Quantum Field Theory (International Series of Monographs on Physics) (2016)
EN PB NWISBN: 9780198789239 bzw. 0198789238, in Englisch, 272 Seiten, OUP Oxford, Taschenbuch, neu.
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