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  • 1
    Keywords: Geometry. ; Electronic books.
    Description / Table of Contents: This book offers an explanation of Yang-Mills theory, with many theoretical properties given in the form of examples. It explains some of the most complex theories in physics in clear and understandable language.
    Type of Medium: Online Resource
    Pages: 1 online resource (181 pages)
    Edition: 1st ed.
    ISBN: 9781441982735
    DDC: 530.1435
    Language: English
    Note: Intro -- Preface -- Contents -- List of Figures -- 1 The Fundamental Interactions -- 2 The Physical Manifold -- 2.1 Manifolds -- 2.2 Geometry of Manifolds -- 2.3 The Riemann Curvature -- 3 Symmetry -- 3.1 Groups and Subgroups -- 3.2 Groups of Transformations -- 3.3 Lie Groups -- 3.4 Lie Algebras -- 3.4.1 Infinitesimal Coordinate Transformations -- 3.4.2 Infinitesimal Transformations on Vector Bundles -- 4 The Algebra of Observables -- 4.1 Linear Form Fields -- 4.2 Tensors -- 4.3 Exterior Algebra -- 5 Geometry of Space--Times -- 5.1 Galilean Space--Time -- 5.2 Newton's Space--Time -- 5.2.1 The Curvature of Newton's Space--Time -- 5.3 The Minkowski Space--Time -- 5.4 Space--Times in General Relativity -- 6 Scalar Fields -- 6.1 Classic Scalar Fields -- 6.2 Non-linear Scalar Fields -- 7 Vector, Tensor, and Spinor Fields -- 7.1 Vector Fields -- 7.1.1 The Electromagnetic Field -- 7.1.2 The Maxwell Tensor -- 7.1.3 The Nielsen--Olesen Model -- 7.2 Spinor Fields -- 7.2.1 Spinor Transformations -- 8 Noether's Theorem -- 8.1 Noether's Theorem for Coordinate Symmetry -- 8.2 Noether's Theorem for Gauge Symmetries -- 9 Bundles and Connections -- 9.1 Fiber Bundles -- 9.2 Base Morphisms -- 9.3 Principal Fiber Bundles -- 9.4 Connections -- 10 Gauge Fields -- 10.1 Gauge Curvature -- 10.2 The U(1) Gauge Field -- 10.3 The SU(2) Gauge Field -- 10.4 The SU(3) Gauge Field -- 11 Gravitation -- 11.1 The Riemann Curvature -- 11.2 Gauge Gravity -- 11.3 Loop Gravity -- 11.4 Deformable Gravity -- 11.5 Kaluza--Klein Gravity -- References -- Index.
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  • 2
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 32 (1991), S. 2722-2726 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: It is shown that two d-dimensional space-times, which make a contact of order d(d+1)/2, are locally equivalent in the sense that they represent the same local gravitational field.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 37 (1996), S. 1972-1981 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The compatibility between general relativity and the property that space–times are embedded manifolds is examined. It is shown that the signature of the embedding space is uniquely determined when its dimension is the smallest possible. In this case, the twisting vector transforms as a Yang–Mills potential under the signature preserving symmetry group, whose curvature is described by Ricci's equation. The use of complex embeddings is also discussed in association with signature and topology changes. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 28 (1987), S. 647-650 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The standard definition of space-time perturbation is reexamined. It is seen that the noninvariance of the metric under identification gauge transformations is a consequence of the adopted zero signature in the fifth dimension of the space of space-times. An n-parameter extension of that definition is proposed, with a (4+n)-dimensional flat space of space-times with a nonsingular metric. It is shown that in the vicinity of a point in the background space-time there is a geometrically defined family of perturbations, which are solutions of the Einstein–Yang–Mills equations.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 28 (1987), S. 651-653 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Using a multiparameter definition of space-time perturbation in a (4+n)-dimensional flat space, the question of identification gauge invariance of the background metric is examined. It is shown that when the allowed identification gauge transformations are given by rotations in the parameter space, then the background metric is invariant. A possible association with Kaluza–Klein theory is also examined.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Oxford, UK : Blackwell Publishing Ltd
    Geophysical journal international 100 (1990), S. 0 
    ISSN: 1365-246X
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Geosciences
    Notes: The SW Indian Ocean is characterized by the presence of several aseismic features. The Mozambique Ridge, an elongated feature lying roughly parallel to the SE coast of Africa, is by far the least known of those structures, mainly due to the scarcity of marine data. To date, the crustal nature and the origin of the ridge are still controversial points. Since knowledge of the origin of the Mozambique Ridge is important for a better understanding of the evolution of the SW Indian Ocean, the isostatic response of the lithosphere beneath the ridge is analysed in order to characterize its effective elastic thickness and the emplacement process of the feature. Two different approaches are applied, the direct computation of the geoid anomaly over the ridge, by means of a 2.5-dimensional method, and the computation of the admittances between the bathymetry and both the geoid and gravity anomalies. Both approaches point to a local isostatic response of the lithosphere. The crustal thickness beneath the Mozambique Ridge ranges from 17 to 30 km and the average density, from 2.78 to 2.7 × 103 kg m−3, varying with locality, in good agreement with the few existing refraction profiles. Based on our results, on the geochemical similarity between the basalts cored at the DSDP site 249 and the MOR basalts (Erlank & Reid 1974; Thompson et al. 1982) and on the present knowledge of the SW Indian Ocean kinematics (Martin & Hartnady 1986), we propose an on-ridge origin for the Mozambique Ridge. The ridge would have been formed by the anomalous activity of a spreading axis linking the northern Mozambique and the Transkei basins accretion centres, between M10 and M2 times. At the M2 epoch, a ridge jump event would have caused the spreading to cease. The Astrid Ridge, a poorly known aseismic structure lying close to the coast of Antarctica near 15°E, may be the antarctic counterpart of the Mozambique Ridge, formed by the same accretionary phenomenon, the two ridges breaking apart at M2 time due to the ridge jump event. However, any admittance computation at such high latitudes is impossible at present, due to the very poor quality of both bathymetry and altimetry, and so this hypothesis cannot be verified.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Amsterdam : Elsevier
    Nuclear Instruments and Methods in Physics Research Section A: 326 (1993), S. 496-507 
    ISSN: 0168-9002
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Physics
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Amsterdam : Elsevier
    Biochemical and Biophysical Research Communications 180 (1991), S. 994-1001 
    ISSN: 0006-291X
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Biology , Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Amsterdam : Elsevier
    Biochemical and Biophysical Research Communications 180 (1991), S. 994-1001 
    ISSN: 0006-291X
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Biology , Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Acta crystallographica 56 (2000), S. 272-279 
    ISSN: 1399-0047
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: The refined crystal structure of the complex between human pepsin and a synthetic phosphonate inhibitor, Iva-Val-Val-LeuP-(O)Phe-Ala-Ala-OMe [Iva = isovaleryl, LeuP = the phosphinic acid analog of L-leucine, (O)Phe = L-3-phenyllactic acid, OMe = methyl ester], is presented. The structure was refined using diffraction data between 30 and 1.96 Å resolution to a final R factor (\textstyle \sum \big| | F_{o}| - |F_{c} | \big | / \sum |F_{o} |, where |Fo| and |Fc| are the observed and calculated structure-factor amplitudes, respectively) of 20.0%. The interactions of the inhibitor with the enzyme show the locations of the binding sites on the enzyme from S4 to S3′. Modeling of the inhibitor binding to porcine pepsin shows very similar binding sites, except at S4. Comparison of the complex structure with the structures of related inhibitors bound to penicillopepsin helps to rationalize the observed differences in the binding constants. The convergence of reaction mechanisms and geometries in different families of proteinases is also discussed.
    Type of Medium: Electronic Resource
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