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  • 1
    Electronic Resource
    Electronic Resource
    New vacuum solutions of conformal Weyl gravity (2000)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 41 (2000), S. 3007-3015 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The Bach equation, i.e., the vacuum field equation following from the Lagrangian L=CijklCijkl, will be completely solved for the case that the metric is conformally related to the Cartesian product of two two-spaces; this covers the spherically and the plane symmetric space–times as special subcases. Contrary to other approaches, we make a covariant 2+2-decomposition of the field equation, and so we are able to apply results from two-dimensional gravity. Finally, some cosmological solutions will be presented and discussed. © 2000 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.533287
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  • 2
    Electronic Resource
    Electronic Resource
    Particle scattering in nonassociative quantum field theory (1994)
    Springer
    Theoretical and mathematical physics 100 (1994), S. 1082-1085 
    Details
    ISSN: 1573-9333
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract A model of quantum field theory in which the field operators form a nonassociative algebra is proposed. In such a case, then-point Green's functions become functionally independent of each other. It is shown that particle interaction in such a theory can be realized by nonlocal virtual objects.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01018573
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  • 3
    Electronic Resource
    Electronic Resource
    Algorithmic complexity of a Schwartzschild black hole (1995)
    Springer
    Russian physics journal 38 (1995), S. 317-319 
    Details
    ISSN: 1573-9228
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The Kolmogorov algorithmic complexity of a Schwartzschild black hole is calculated with the application of concepts of information theory. In the calculation of the trajectory integral in the quantum theory of gravitation, the action function is replaced by the algorithmic complexity function.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00559481
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  • 4
    Electronic Resource
    Electronic Resource
    Quantization of Strongly Interacting Fields (1999)
    Springer
    International journal of theoretical physics 38 (1999), S. 887-895 
    Details
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract While perturbative techniques work extremelywell for weakly interacting field theories (e.g., QED),they are not useful when studying strongly interactingfield theories (e.g., QCD at low energies). In this paper we review Heisenberg's idea aboutquantizing strongly interacting nonlinear fields, andsuggest an approximate method of solving the infiniteset of Tamm-Dankoff equations. We then apply this procedure to an infinite-energy, classicalflux-tube-like solution of SU(2) Yang-Mills theory andshow that this quantization procedure ameliorates someof the bad behavior of the classical solution. We also discuss the possible application of thisquantization procedure to a recently proposed stronglyinteracting phonon model of high-Tcsuperconductors.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1026661119805
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  • 5
    Electronic Resource
    Electronic Resource
    Orbital and Field Angular Momentum in the Nucleon (2000)
    Springer
    Foundations of physics 30 (2000), S. 1093-1105 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The nucleon spin problem raises experimental and theoretical questions regarding the contribution of the orbital angular momentum of the quarks to the total spin of the nucleon. In this article we examine the commutation relationships of various operators that contribute to the total angular momentum of the nucleon. We find that the sum of the orbital plus gluon field angular momenta should satisfy the angular momentum commutators, at least up to the one-loop level. This, requirement on the sum of these operators imposes a non-trivial restriction on the form of the color electric and magnetic fields. This is similar to the magnetic monopole/electric charge system where it is only the sum of the orbital plus field angular momentum that satisfies the correct commutation relationships.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1003604620660
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  • 6
    Electronic Resource
    Electronic Resource
    Domain with Noncompactified Extra Dimensions in the Multidimensional Universe with Compactified Extra Dimensions (1998)
    Springer
    General relativity and gravitation 30 (1998), S. 1655-1661 
    Details
    ISSN: 1572-9532
    Keywords: MULTIDIMENSIONAL GRAVITY ; GAUGE FIELD ; WORMHOLE ; COMPACTIFICATION ; EXTRA DIMENSION
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract It is argued that in our Universe with compactified extra dimensions (ED) also domains exist with noncompactified ED. The multidimensional gravity (MD) on the principal bundle with structural group SU(3) is considered and a spherically symmetric solution in this theory is obtained. This solution is a wormhole-like object located between two null surfaces ds2 = 0 and can be considered as a domain with noncompactified ED which is sewn to a 4D spacetime with compactified ED. In some sense these solutions are dual to black holes: they represent static spherically symmetric solutions under null surfaces, whereas black holes are static spherically symmetric solutions outside the event horizon.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1026672423614
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  • 7
    Electronic Resource
    Electronic Resource
    Quantization of Spherically Symmetric Solution of SU(3) Yang-Mills Theory (1999)
    Springer
    International journal of theoretical physics 38 (1999), S. 2175-2184 
    Details
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A recent investigation of the SU(3) Yang-Millsfield equations found several classical solutions whichexhibited a type of confinement due to gauge fieldswhich increased without bound as r → ∞. This increase of the gauge fields gave thesesolutions an infinite field energy, raising questionsabout their physical significance. In this paper weapply some ideas of Heisenberg about the quantization of strongly interacting nonlinear fields to thisclassical solution and find that at large r thisquantization procedure softens the unphysical behaviorof the classical solution, while the interestingshort-distance behavior is maintained. This quantizationprocedure may provide a general method for approximatingthe quantum corrections to certain classical fieldconfigurations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1026622323265
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  • 8
    Electronic Resource
    Electronic Resource
    Multidimensional Gravity on the Principal Bundles (1998)
    Springer
    General relativity and gravitation 30 (1998), S. 583-592 
    Details
    ISSN: 1572-9532
    Keywords: MULTIDIMENSIONAL GRAVITY ; PRINCIPAL BUNDLE ; WORMHOLE-LIKE AND INSTANTON-LIKE COSMOLOGICAL SOLUTIONS
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The multidimensional gravity on the total space of principal bundles is considered. In this theory the gauge fields arise as nondiagonal components of a multidimensional metric. The spherically symmetric and cosmological solutions for gravity on an SU(2) principal bundle are obtained. The static spherically symmetric solution is a wormhole-like solution located between two null surfaces, in contrast to 4D Einstein-Yang-Mills theory where the corresponding solution (black hole) is located outside of the event horizon. The cosmological solution has (at least locally) the bouncing-off effect for the spatial dimensions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1018818224423
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  • 9
    Electronic Resource
    Electronic Resource
    Experimental Test for Extra Dimensions in Kaluza–Klein Gravity (2000)
    Springer
    General relativity and gravitation 32 (2000), S. 271-280 
    Details
    ISSN: 1572-9532
    Keywords: Wormholes ; 5-dimensional gravity
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract 5D Kaluza–Klein gravity has several nonasymptotically flat solutions which generally, possess both electric and magnetic charges. In this paper we suggest that these solutions can act as quantum virtual handles (wormholes) in spacetime foam models. In the presence of a sufficently large, external electric and/or magnetic field it may be possible to “inflate” these solutions from a quantum to a classical state. This effect would lead to a possible experimental signal for higher dimensions in multidimensional gravity.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1001943725858
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  • 10
    Electronic Resource
    Electronic Resource
    Wheeler-De Witt superspace and topological transitions in gravity theory (1986)
    Springer
    Russian physics journal 29 (1986), S. 1014-1016 
    Details
    ISSN: 1573-9228
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00896006
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