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Marcelo Loewe – One of the best experts on this subject based on the ideXlab platform.

  • particle Antiparticle asymmetry from magnetogenesis through the landau mechanism
    Physics Letters B, 2013
    Co-Authors: D. Cárcamo, Marcelo Loewe, Ashok Das, Jorge Gamboa

    Abstract:

    Abstract Motivated by string theory an extension of the Landau problem to quantum field theory is considered. We show that the commutator between momenta of the fields violates Lorentz and CPT invariance leading to an alternative method of understanding the question of particle–Antiparticle asymmetry. The presence of magnetic field at very early moments of the universe would then suggest that the particle–Antiparticle asymmetry can be understood as a consequence of magnetogenesis.

  • Particle–Antiparticle asymmetry from magnetogenesis through the Landau mechanism
    Physics Letters B, 2013
    Co-Authors: D. Cárcamo, Ashok Das, Jorge Gamboa, Marcelo Loewe

    Abstract:

    Motivated by string theory an extension of the Landau problem to quantum
    field theory is considered. We show that the commutator between momenta of the
    fields violates Lorentz and CPT invariance leading to an alternative method of
    understanding the question of particle-Antiparticle asymmetry. The presence of
    magnetic field at very early moments of the universe would then suggest that
    the particle-Antiparticle asymmetry can be understood as a consequence of
    magnetogenesis.Comment: 5pages, to be published in Phys. Lett.

  • Particle–Antiparticle asymmetry from magnetogenesis through the Landau mechanism
    Physics Letters B, 2012
    Co-Authors: D. Cárcamo, Ashok Das, Jorge Gamboa, Marcelo Loewe

    Abstract:

    Abstract Motivated by string theory an extension of the Landau problem to quantum field theory is considered. We show that the commutator between momenta of the fields violates Lorentz and CPT invariance leading to an alternative method of understanding the question of particle–Antiparticle asymmetry. The presence of magnetic field at very early moments of the universe would then suggest that the particle–Antiparticle asymmetry can be understood as a consequence of magnetogenesis.

Jurij W. Darewych – One of the best experts on this subject based on the ideXlab platform.

  • Relativistic wave equations of n-body systems of particles and Antiparticles of various masses in scalar quantum field theory
    Journal of Physics G: Nuclear and Particle Physics, 2011
    Co-Authors: Mohsen Emami-razavi, Nantel Bergeron, Jurij W. Darewych

    Abstract:

    A generalization of the scalar Yukawa model to include many ‘flavors’ of scalar particles and Antiparticles is considered. The variational method within the Hamiltonian formalism of quantum field theory is used to derive relativistic n-body wave equations for stationary systems consisting of scalar particles and Antiparticles where all the particles and Antiparticles have different masses. Using a simple ansatz we derive the relativistic n-body wave equations for any n integer number. The equations are shown to have the Schrodinger non-relativistic limit, with Coulombic interparticle potentials in the case of a massless mediating field and Yukawa interparticle potentials in the case of a massive mediating field. Some examples of approximate ground state solutions of the n-body relativistic equations are obtained for various strengths of coupling, for both massive and massless mediating fields.

  • Variational particle-Antiparticle bound states in the Wick-Cutkosky model
    Nuclear Physics B – Proceedings Supplements, 2000
    Co-Authors: Jurij W. Darewych, Bingfeng Ding

    Abstract:

    Abstract We study particle-Antiparticle bound states in the scalar Yukawa (Wick-Cutkosky) model, using the variational method in the Hamiltonian formalism of quantum field theory. Covariant Green’s functions are used to solve for the mediating field in terms of the particle fields. A trial state, containing one and two particle-Antiparticle Fockspace components is used to calculate the ground state mass of the particle-Antiparticle system. We compare our results with earlier calculations.

  • A variational calculation of particle-Antiparticle bound states in the scalar Yukawa model
    Journal of Physics G: Nuclear and Particle Physics, 2000
    Co-Authors: Bingfeng Ding, Jurij W. Darewych

    Abstract:

    We consider particle-Antiparticle bound states in the scalar Yukawa (Wick-Cutkosky) model. The variational method in the Hamiltonian formalism of quantum field theory is employed. A reformulation of the model is studied, in which covariant Green’s functions are used to solve for the mediating field in terms of the particle fields. A simple Fock-state variational ansatz is used to derive a relativistic equation for the particle-Antiparticle states. This equation contains one-quantum-exchange and virtual-annihilation interactions.
    It is shown that analytic solutions of this equation can be obtained for the simplified case where only the virtual annihilation interaction is retained. More generally, numerical and perturbative solutions of the equation are obtained for the massive and massless-exchange cases. We compare our results with various Bethe-Salpeter-based calculations.

Steven Kenneth Kauffmann – One of the best experts on this subject based on the ideXlab platform.

  • do experiment and the correspondence principle oblige revision of relativistic quantum theory
    Prespacetime Journal, 2010
    Co-Authors: Steven Kenneth Kauffmann

    Abstract:

    Recent preliminary data gathered by the Fermilab MINOS Collaboration suggest with 95% confidence that the mass of the muon neutrino differs from that of its antineutrino partner, which contradicts the entrenched relativistic quantum theory notion that a free Antiparticle is a negativeenergy free particle compelled to travel backwards in time. Also a discrepancy of about five standard deviations in the value of the proton charge radius recently obtained from muonic hydrogen versus that previously obtained from electronic hydrogen casts doubt on the calculation of the dominant relativistic QED contributions to the effects that are actually measured (e.g., the Lamb shift): these QED contributions dominate proton charge radius contributions less in muonic hydrogen than in electronic hydrogen. The negative-energy “free particles” of entrenched relativistic quantum theory are well-known features of the Klein-Gordon and Dirac equations, which are shown to have many other unphysical features as well. The correspondence principle for relativistic particles is incompatible with these two equations, produces no unphysical features and implies only positive energies for free particles, which eliminates the very basis of the entrenched notion of Antiparticles, as well as of the CPT theorem. This principle thus requires Antiparticles to arise from charge conjugation (or more generally CP) invariance, whose known breaking is naturally expected to produce mass splitting between particle and Antiparticle, in consonance with the preliminary MINOS data. It also requires revamping of relativistic QED, which is in accord with the doubt cast on it by the proton charge radius results, and implies that QED is nonlocal, i.e. has no Hamiltonian density.

  • sound relativistic quantum mechanics for a strictly solitary nonzero mass particle and its quantum field reverberations
    viXra, 2009
    Co-Authors: Steven Kenneth Kauffmann

    Abstract:

    It is generally acknowledged that neither the Klein-Gordon equation nor the Dirac Hamiltonian can produce sound solitary-particle relativistic quantum mechanics due to the ill effects of their negative-energy solutions; instead their field-quantized wavefunctions are reinterpreted as dealing with particle and Antiparticle simultaneously – despite the clear physical distinguishability of Antiparticle from particle and the empirically known slight breaking of the underlying CP invariance. The natural square-root Hamiltonian of the free relativistic solitary particle is iterated to obtain the Klein-Gordon equation and linearized to obtain the Dirac Hamiltonian, steps that have calculational but not physical motivation, and which generate the above-mentioned problematic negative-energy solutions as extraneous artifacts. Since the natural square-root Hamiltonian for the free relativistic solitary particle contrariwise produces physically unexceptionable quantum mechanics, this article focuses on extending that Hamiltonian to describe a solitary particle (of either spin 0 or spin ½ in relativistic interaction with an external electromagnetic field. That is achieved by use of Lorentz-covariant solitary-particle four-momentum techniques together with the assumption that well-known nonrelativistic dynamics applies in the particle’s rest frame. Lorentz-invariant solitary-particle actions, whose formal Hamiltonization is an equivalent alternative approach, are as well explicitly displayed. It is proposed that two separate solitary-particle wavefunctions, one for a particle and the other for its Antiparticle, be independently quantized in lieu of “reinterpreting” negative-energy solutions – which indeed don’t even afflict proper solitary particles.

  • sound relativistic quantum mechanics for a strictly solitary nonzero mass particle and its quantum field reverberations
    arXiv: General Physics, 2009
    Co-Authors: Steven Kenneth Kauffmann

    Abstract:

    It is generally acknowledged that neither the Klein-Gordon equation nor the Dirac Hamiltonian can produce sound solitary-particle relativistic quantum mechanics due to the ill effects of their negative-energy solutions; instead their field-quantized wavefunctions are reinterpreted as dealing with particle and Antiparticle simultaneously–despite the clear physical distinguishability of Antiparticle from particle and the empirically known slight breaking of the underlying CP invariance. The natural square-root Hamiltonian of the free relativistic solitary particle is iterated to obtain the Klein-Gordon equation and linearized to obtain the Dirac Hamiltonian, steps that have calculational but not physical motivation, and which generate the above-mentioned problematic negative-energy solutions as extraneous artifacts. Since the natural square root Hamiltonian for the free relativistic solitary particle contrariwise produces physically unexceptionable quantum mechanics, this article focuses on extending that Hamiltonian to describe a solitary particle (of either spin 0 or spin one-half) in relativistic interaction with an external electromagnetic field. That is achieved by use of Lorentz-covariant solitary-particle four momentum techniques together with the assumption that well-known nonrelativistic dynamics applies in the particle’s rest frame. Lorentz-invariant solitary particle actions, whose formal Hamiltonization is an equivalent alternative approach, are as well explicitly displayed. It is proposed that two separate solitary-particle wavefunctions, one for a particle and the other for its Antiparticle, be independently quantized in lieu of “reinterpreting” negative energy solutions–which indeed don’t even afflict proper solitary particles.