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  • 1
    UID:
    b3kat_BV041963854
    Format: 1 Online-Ressource
    ISBN: 9783540095323
    Series Statement: Lecture notes in physics 106
    Language: English
    Keywords: Pfadintegral ; Konferenzschrift
    Author information: Albeverio, Sergio 1939-
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  • 2
    UID:
    almahu_9947923233602882
    Format: XI, 452 p. 2 illus. , online resource.
    ISBN: 9783540350392
    Series Statement: Lecture Notes in Physics, 106
    Note: Feynman path integrals and the corresponding method of stationary phase -- Processus de sauts et leurs applications dans la mecanique quantique -- The polygonal path formulation of the Feynman path integral -- Weyl quantization of classical spin systems quantum spins and Fermi systems -- Feynman path integral and theory of forms -- Caracterisation de processus par la methode des specifications locales -- Renormalization group approach to the hierarchical model -- Spinning particles and relativistic particles in the framework of Nelson's stochastic mechanics -- Construction of a class of characteristic functionals -- Topics on euclidean classical field equations with unique vacuua -- Null plane fields and automodel random processes -- Deformations et quantification -- Geometric quantisation and the Feynman integral -- Algebres tierces -- A reasonable method for computing path integrals on curved spaces -- Correspondence rules and path integrals -- Feynman-type integrals defined in terms of general cylindrical approximations -- Bounds on the Euclidean functional determinant -- Application of path integrals to non-perturbative study of massive Yang-Mills theory -- F = * F , A review -- Quartic oscillator -- Perturbation theory at large orders -- Anomalous behaviour of the effective potential -- Non-affine path algorithm in the functional integral calculus of Schrödinger kernels -- Non-Uniqqueness in writing Schrodinger kernel as a functional integral -- About the conformal properties of Yang-Mills fields -- Infrared problem and zero-mass limit in a model of non-abelian gauge theory -- Unitarity restrictions on semi-classical approximations to certain functional integrals -- On the Fokker-Planck Lagrangian -- Distribution definition of path integrals -- Functional integral representations and inequalities for bose partition functions -- Renormalization of Yang-Mills theory developed around an instanton.
    In: Springer eBooks
    Additional Edition: Printed edition: ISBN 9783540095323
    Language: English
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  • 3
    UID:
    almafu_9959186162702883
    Format: 1 online resource (XI, 452 p. 2 illus.)
    Edition: 1st ed. 1979.
    Edition: Online edition Springer Lecture Notes Archive ; 041142-5
    ISBN: 3-540-35039-X
    Series Statement: Lecture Notes in Physics, 106
    Note: Feynman path integrals and the corresponding method of stationary phase -- Processus de sauts et leurs applications dans la mecanique quantique -- The polygonal path formulation of the Feynman path integral -- Weyl quantization of classical spin systems quantum spins and Fermi systems -- Feynman path integral and theory of forms -- Caracterisation de processus par la methode des specifications locales -- Renormalization group approach to the hierarchical model -- Spinning particles and relativistic particles in the framework of Nelson's stochastic mechanics -- Construction of a class of characteristic functionals -- Topics on euclidean classical field equations with unique vacuua -- Null plane fields and automodel random processes -- Deformations et quantification -- Geometric quantisation and the Feynman integral -- Algebres tierces -- A reasonable method for computing path integrals on curved spaces -- Correspondence rules and path integrals -- Feynman-type integrals defined in terms of general cylindrical approximations -- Bounds on the Euclidean functional determinant -- Application of path integrals to non-perturbative study of massive Yang-Mills theory -- F = * F , A review -- Quartic oscillator -- Perturbation theory at large orders -- Anomalous behaviour of the effective potential -- Non-affine path algorithm in the functional integral calculus of Schrödinger kernels -- Non-Uniqqueness in writing Schrodinger kernel as a functional integral -- About the conformal properties of Yang-Mills fields -- Infrared problem and zero-mass limit in a model of non-abelian gauge theory -- Unitarity restrictions on semi-classical approximations to certain functional integrals -- On the Fokker-Planck Lagrangian -- Distribution definition of path integrals -- Functional integral representations and inequalities for bose partition functions -- Renormalization of Yang-Mills theory developed around an instanton.
    In: Springer eBooks
    Additional Edition: ISBN 3-540-09532-2
    Language: English
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  • 4
    Online Resource
    Online Resource
    Boston, MA : Springer US
    UID:
    b3kat_BV042411231
    Format: 1 Online-Ressource (603p)
    ISBN: 9781461307297 , 9781461280538
    Series Statement: NATO ASI Series, Series B: Physics 185
    Note: During the past 15 years, quantum field theory and classical statistical mechanics have merged into a single field, and the need for nonperturbative methods for the description of critical phenomena in statistical mechanics as well as for problems in elementary particle physics are generally acknowledged. Such methods formed the central theme of the 1987 Cargese Advanced Study Institute on "Nonperturbative Quantum Field Theory. " The use of conformal symmetry has been of central interest in recent years, and was a main subject at the ASI. Conformal invariant quantum field theory describes statistical mechanical systems exactly at a critical point, and can be analysed to a remarkable extent by group theoretical methods. Very strong results have been obtained for 2-dimensional systems. Conformal field theory is also the basis of string theory, which offers some hope of providing a unified theory of all interactions between elementary particles. Accordingly, a number of lectures and seminars were presented on these two topics. After systematic introductory lectures, conformal field theory on Riemann surfaces, orbifolds, sigma models, and application of loop group theory and Grassmannians were discussed, and some ideas on modular geometry were presented. Other lectures combined traditional techniques of constructive quantum field theory with new methods such as the use of index-theorems and infinite dimensional (Kac Moody) symmetry groups. The problems encountered in a quantum mechanical description of black holes were discussed in detail
    Language: English
    Keywords: Quantenfeldtheorie ; Statistische Mechanik ; Stringtheorie ; Statistische Mechanik ; Quantenfeldtheorie ; Konferenzschrift
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  • 5
    UID:
    b3kat_BV042412247
    Format: 1 Online-Ressource (618p)
    ISBN: 9781475702804 , 9781475702828
    Series Statement: NATO ASI Series, Series B: Physics 115
    Note: The importance of gauge theory for elementary particle physics is by now firmly established. Recent experiments have yielded convincing evidence for the existence of intermediate bosons, the carriers of the electroweak gauge force, as well as for the presence of gluons, the carriers of the strong gauge force, in hadronic interactions. For the gauge theory of strong interactions, however, a number of important theoretical problems remain to be definitely resolved. They include the quark confinement problem, the quantitative study of the hadron mass spectrum as well as the role of topology in quantum gauge field theory. These problems require for their solution the development and application of non-perturbative methods in quantum gauge field theory. These problems, and their non-perturbative analysis, formed the central interest of the 1983 Cargese summer institute on "Progress in Gauge Field Theory. " In this sense it was a natural sequel to the 1919 Cargese summer institute on "Recent Developments in Gauge Theories. " Lattice gauge theory provides a systematic framework for the investigation of non-perturbative quantum effects. Accordingly, a large number of lectures dealt with lattice gauge theory. Following a systematic introduction to the subject, the renormalization group method was developed both as a rigorous tool for fundamental questions, and in the block-spin formulation, the computations by Monte Carlo programs. A detailed analysis was presented of the problems encountered in computer simulations. Results obtained by this method on the mass spectrum were reviewed
    Language: English
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  • 6
    UID:
    b3kat_BV042412132
    Format: 1 Online-Ressource (VIII, 438 p)
    ISBN: 9781468475715 , 9781468475739
    Series Statement: NATO Advanced Study Institutes Series, Series B. Physics 59
    Note: Almost all theories of fundamental interactions are nowadays based on the gauge concept. Starting with the historical example of quantum electrodynamics, we have been led to the successful unified gauge theory of weak and electromagnetic interactions, and finally to a non abelian gauge theory of strong interactions with the notion of permanently confined quarks. The. early theoretical work on gauge theories was devoted to proofs of renormalizability, investigation of short distance behaviour, the discovery of asymptotic freedom, etc . . , aspects which were accessible to tools extrapolated from renormalised perturbation theory. The second phase of the subject is concerned with the problem of quark confinement which necessitates a non-perturbative understanding of gauge theories. This phase has so far been marked by the introduction of ideas from geometry, topology and statistical mechanics in particular the theory of phase transitions. The 1979 Cargese Institute on "Recent Developments on Gauge Theories" was devoted to a thorough discussion of these non-perturbative, global aspects of non-abelian gauge theories. In the lectures and seminars reproduced in this volume the reader wilf find detailed reports on most of the important developments of recent times on non perturbative gauge fields by some of the leading experts and innovators in this field. Aside from lectures on gauge fields proper, there were lectures on gauge field concepts in condensed matter physics and lectures by mathematicians on global aspects of the calculus of variations, its relation to geometry and topology, and related topics
    Language: English
    Keywords: Eichtheorie ; Konferenzschrift
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  • 7
    UID:
    gbv_429990790
    Format: XVI, 552 S. 8"
    Series Statement: (Univ. de Grenoble. Summer School of Theoretical Physics, Les Houches 1970)
    Language: Undetermined
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  • 8
    UID:
    b3kat_BV042411626
    Format: 1 Online-Ressource (VIII, 529 p)
    ISBN: 9781461534723 , 9781461365389
    Series Statement: NATO ASI Series, Series B: Physics 295
    Note: Soon after the discovery of quantum mechanics, group theoretical methods were used extensively in order to exploit rotational symmetry and classify atomic spectra. And until recently it was thought that symmetries in quantum mechanics should be groups. But it is not so. There are more general algebras, equipped with suitable structure, which admit a perfectly conventional interpretation as a symmetry of a quantum mechanical system. In any case, a "trivial representation" of the algebra is defined, and a tensor product of representations. But in contrast with groups, this tensor product needs to be neither commutative nor associative. Quantum groups are special cases, in which associativity is preserved. The exploitation of such "Quantum Symmetries" was a central theme at the Ad­ vanced Study Institute. Introductory lectures were presented to familiarize the participants with the al­ gebras which can appear as symmetries and with their properties. Some models of local field theories were discussed in detail which have some such symmetries, in par­ ticular conformal field theories and their perturbations. Lattice models provide many examples of quantum theories with quantum symmetries. They were also covered at the school. Finally, the symmetries which are the cause of the solubility of inte­ grable models are also quantum symmetries of this kind. Some such models and their nonlocal conserved currents were discussed
    Language: English
    Keywords: Quantenfeldtheorie ; Symmetrie ; Konferenzschrift
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  • 9
    UID:
    gbv_125169256
    Format: ..
    Language: Undetermined
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  • 10
    UID:
    almahu_9949198951902882
    Format: 603 p. , online resource.
    Edition: 1st ed. 1988.
    ISBN: 9781461307297
    Series Statement: Nato Science Series B:, Physics, 185
    Note: Lectures Operator Methods in String Theory -- On the Fixed Point Formula and the Rigidity Theorem of Witten -- Non-Commutative Geometry -- Statistics of Fields,the Yang Baxter Equation And the Theory of Knots and Links -- Topological Actions in Two-Dimensional Quantum Field Theories -- Issues in Superstring Theory -- Lectures on Heterotic Strings and Orbifold Compactifications -- Quantum Gravity and Black Holes -- Supersymmetric quantum Fields and Infinite Dimensional Analysis -- Solution of the Lattice ?4Theory in 4 Dimensions -- Multigrid Methods in Quantum Field Theory -- to Conformal Invariant Quantum Field Theory in Two or More Dimensions -- Continuous Wilson Renormalization Group And the 2-D 0(n) Non-linear a-Model -- Numerical Simulations:Old and New Problems -- The Role of Locality in String Quantization -- SEMINARS On the BRST Structure of the Closed String And Superstring Theory -- The A-D-E Classification of Conformal Invariant Field Theories in Two Dimensions -- The Break down of Dimensional Reduction -- Vanishing Vacuum Energies for Nonsupersymmetric Strings -- Torsion Constraints and Super RiemannS urfaces -- Renormalization Theory for Use in Convergent Expansions of Euclidean Quantum Field Theory -- Power Counting and Renormalization in Lattice Field Theory -- Open Strings and their Symmetry Groups -- New Methods and Results in Conformal QFT2 and the String Idea -- On V. Pasquier A-D-E Models -- Generalization of the Sugawara Construction -- Conformal Field Theory at c=1 -- Geometric realization of Conformal Field Theory on Riemann Surfaces.
    In: Springer Nature eBook
    Additional Edition: Printed edition: ISBN 9781461280538
    Additional Edition: Printed edition: ISBN 9780306430275
    Additional Edition: Printed edition: ISBN 9781461307303
    Language: English
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