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  • 1
    Online-Ressource
    Online-Ressource
    Quantum Field Theory and Statistical Mechanics : Expositions. (1985)
    Boston, MA :Birkhäuser Boston,
    Details
    Schlagwort(e): Quantum field theory. ; Statistical mechanics. ; Statistical physics. ; Electronic books.
    Materialart: Online-Ressource
    Seiten: 1 online resource (406 pages)
    Ausgabe: 1st ed.
    ISBN: 9781461251583
    URL: https://ebookcentral.proquest.com/lib/geomar/detail.action?docID=6569144
    Sprache: Englisch
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  • 2
    Online-Ressource
    Online-Ressource
    Quantum Physics : A Functional Integral Point of View. (1987)
    New York, NY :Springer,
    Details
    Schlagwort(e): Quantum field theory. ; Electronic books.
    Materialart: Online-Ressource
    Seiten: 1 online resource (551 pages)
    Ausgabe: 2nd ed.
    ISBN: 9781461247289
    URL: https://ebookcentral.proquest.com/lib/geomar/detail.action?docID=3077083
    Sprache: Englisch
    Anmerkung: Quantum Physics -- Copyright -- Preface -- Contents -- Introduction -- Conventions and Formulas -- List of Symbols -- PART I AN INTRODUCTION TO MODERN PHYSICS -- CHAPTER 1 Quantum Theory -- CHAPTER 2 Classical Statistical Mechanics -- CHAPTER 3 The Feynman-Kac Formula -- CHAPTER 4 Correlation Inequalities and the Lee-Yang Theorem -- CHAPTER 5 Phase Transitions and Critical Points -- CHAPTER 6 Field Theory -- APPENDIX TO PART I Hilbert Space Operators and Functional Integrals -- PART II FUNCTION SPACE INTEGRALS -- CHAPTER 7 Covariance Operator = Green′s Function = Resolvent Kernel = Euclidean Propagator = Fundamental Solution -- CHAPTER 8 Quantization = Integration over Function Space -- CHAPTER 9 Calculus and Renormalization on Function Space -- CHAPTER 10 Estimates Independent of Dimension -- CHAPTER 11 Fields Without Cutoffs -- CHAPTER 12 Regularity and Axioms -- PART III THE PHYSICS OF QUANTUM FIELDS -- CHAPTER 13 Scattering Theory: Time-Dependent Methods -- CHAPTER 14 Scattering Theory: Time-Independent Methods -- CHAPTER 15 The Magnetic Moment of the Electron -- CHAPTER 16 Phase Transitions -- CHAPTER 17 The Φ4 Critical Point -- CHAPTER 18 The Cluster Expansion -- CHAPTER 19 From Path Integrals to Quantum Mechanics -- CHAPTER 20 The Polymer Expansion -- CHAPTER 21 Random Path Representations -- CHAPTER 22 Constructive Gauge Theory and Phase Cell Localization -- CHAPTER 23 Further Directions -- Bibliography -- Index.
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  • 3
    Online-Ressource
    Online-Ressource
    Lectures in modern analysis and applications II (1970)
    Berlin, Heidelberg : Springer Berlin Heidelberg
    Details Verfügbarkeit
    Schlagwort(e): Mathematics ; Mathematics, general ; Mathematics
    Beschreibung / Inhaltsverzeichnis: Some applications of the Schwartz space of a semisimple Lie group -- Some analytic methods in the theory of operator algebras -- The mathematical theory of quantum fields -- Mathematical problems in the foundations of quantum field theory -- New methods and problems in statistical mechanics -- Abstract wiener measure and infinite dimensional potential theory.
    Materialart: Online-Ressource
    Seiten: Online-Ressource (VIII, 124 p, online resource)
    ISBN: 9783540362982 , 9783540049296
    Serie: Lecture Notes in Mathematics 140
    URL: https://doi.org/10.1007/BFb0100062
    URL: http://dx.doi.org/10.1007/BFb0100062
    URL: https://external.dandelon.com/download/attachments/dandelon/ids/DEAGI621A9EF28C1540AEC125757B00548DDE.pdf
    DOI: 10.1007/BFb0100062
    Sprache: Englisch
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  • 4
    Digitale Medien
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    A two-phase flow model of the Rayleigh–Taylor mixing zone (1996)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 8 (1996), S. 816-825 
    Details
    ISSN: 1089-7666
    Quelle: AIP Digital Archive
    Thema: Physik
    Notizen: The Rayleigh–Taylor instability of an interface separating fluids of distinct density is driven by an acceleration across the interface. Low order statistical moments of fluctuating fluid quantities characterize the hydrodynamics of the mixing zone. A new model is proposed for the momentum coupling between the two phases. This model is validated against computational data for compressible flows, including flows near the incompressible limit. Our main result is a zero parameter first order closure for ensemble averaged two phase flow equations. We do not, however, fully solve the closure problem, as the equations we derive are missing an (internal) boundary condition along any surface for which either phase goes to zero volume fraction. In this sense, the closure problem is reduced from a volume to a surface condition, rather than being solved completely. We compare two formulations of the statistical moments, one based on two phase flow and the other on turbulence models. These formulations describe different aspects of the mixing process. For the problem considered, the two phase flow moments appear to be preferable, in that they subsume the turbulence moments but not conversely. © 1996 American Institute of Physics.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1063/1.868863
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  • 5
    Digitale Medien
    Digitale Medien
    A renormalization group scaling analysis for compressible two-phase flow (1993)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 5 (1993), S. 2929-2937 
    Details
    ISSN: 1089-7666
    Quelle: AIP Digital Archive
    Thema: Physik
    Notizen: Computational solutions to the Rayleigh–Taylor fluid mixing problem, as modeled by the two-fluid two-dimensional Euler equations, are presented. Data from these solutions are analyzed from the point of view of Reynolds averaged equations, using scaling laws derived from a renormalization group analysis. The computations, carried out with the front tracking method on an Intel iPSC/860, are highly resolved and statistical convergence of ensemble averages is achieved. The computations are consistent with the experimentally observed growth rates for nearly incompressible flows. The dynamics of the interior portion of the mixing zone is simplified by the use of scaling variables. The size of the mixing zone suggests fixed-point behavior. The profile of statistical quantities within the mixing zone exhibit self-similarity under fixed-point scaling to a limited degree. The effect of compressibility is also examined. It is found that, for even moderate compressibility, the growth rates fail to satisfy universal scaling, and moreover, increase significantly with increasing compressibility. The growth rates predicted from a renormalization group fixed-point model are in a reasonable agreement with the results of the exact numerical simulations, even for flows outside of the incompressible limit.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1063/1.858701
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  • 6
    Digitale Medien
    Digitale Medien
    A Yukawa interaction in infinite volume (1968)
    Springer
    Communications in mathematical physics 11 (1968), S. 9-18 
    Details
    ISSN: 1432-0916
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik , Physik
    Notizen: Abstract We prove the existence of the Heisenberg picture field operators for quantum fields with a Yukawa interaction. The interaction density $$g:\Psi ^ + (x) \Psi (x) \Phi (x):$$ has a momentum cutoff on the Fermions, but no spatial form factor, and is thus translation invariant.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01654299
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  • 7
    Digitale Medien
    Digitale Medien
    Inertial range scaling of laminar shear flow as a model of turbulent transport (1992)
    Springer
    Communications in mathematical physics 146 (1992), S. 217-229 
    Details
    ISSN: 1432-0916
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik , Physik
    Notizen: Abstract Asymptotic scaling behavior, characteristic of the inertial range, is obtained for a fractal stochastic system proposed as a model for turbulent transport.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02102625
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  • 8
    Digitale Medien
    Digitale Medien
    Boson fields with the :Φ4: Interaction in three dimensions (1968)
    Springer
    Communications in mathematical physics 10 (1968), S. 1-47 
    Details
    ISSN: 1432-0916
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik , Physik
    Notizen: Abstract The :Φ4: interaction for boson fields is considered in three dimensional space time. A space cutoff is included in the interaction term. The main result is that the renormalized HamiltonianH ren is a densely defined symmetric operator. In addition to the infinite vacuum energy and infinite mass renormalizations, this theory has an infinite wave function renormalization. Consequently the Hilbert space (of physical particles) in whichH ren acts is disjoint from the bare particle Fock Hilbert space in which the unrenormalized Hamiltonian is defined.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01654131
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  • 9
    Digitale Medien
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    Particles and scaling for lattice fields and Ising models (1976)
    Springer
    Communications in mathematical physics 51 (1976), S. 1-13 
    Details
    ISSN: 1432-0916
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik , Physik
    Notizen: Abstract The conjectured inequality γ(6)≦0 leads to the existence of ϕ d 4 fields and the scaling (continuum) limit ford-dimensional Ising models. Assuming γ(6)≦0 and Lorentz covariance of this construction, we show that ford≧6 these ϕ d 4 fields are free fields unless the field strength renormalizationZ −1 diverges. Let λ be the bare charge and ε the lattice spacing. Under the same assumptions (γ(6)≦0, Lorentz covariance andd≧6) we show that if λε4−d is bounded as ε→0, thenZ −1 is bounded and the limit field is free.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01609048
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  • 10
    Digitale Medien
    Digitale Medien
    Instantons in aU(1) lattice gauge theory: A Coulomb dipole gas (1977)
    Springer
    Communications in mathematical physics 56 (1977), S. 195-212 
    Details
    ISSN: 1432-0916
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik , Physik
    Notizen: Abstract We study the decompositionA=A I +A SW of aU(1) lattice gauge field into instanton and spin wave parts. The action also decomposes,A=A I +A SW +R. HereA I is a Coulomb dipole gas,A SW is a zero mass free field, andR is a higher order remainder. We studyA I in detail, ford≧4, in the dilute gas case (which corresponds to the low temperature limit of the gauge field theory). We establish the leading behavior of the free energy:f ∼ ɛ−d aζ. Here ɛ is the lattice spacing,a is a geometrical constant and ζ is an activity defined in terms of a small number of instanton configurations. Our methods suggest the absence of screening in the dilute dipole gas,d≧4, in contrast to Debye screening for the dilute monopole gas.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01614208
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