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  • 1
    Electronic Resource
    Electronic Resource
    Non-Abelian solitons in two-dimensional lattice field theories (1993)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 34 (1993), S. 5560-5588 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: For a class of self-interacting multicomponent scalar field theories with a global discrete non-Abelian symmetry group, mixed order–disorder correlation functions are defined in terms of Euclidean functional integrals. These correlation functions satisfy Osterwalder–Schrader positivity. From a representation of the correlation functions in terms of the transfer matrix, the dual algebra at fixed time is derived. This algebra implies parafermion operators showing non-Abelian braid group statistics. In a pure phase of spontaneous symmetry breaking for a related class of order–disorder correlation functions a convergent polymer representation is developed, emerging from a combined low- and high-temperature-type expansion. The infinite volume correlation functions of this class show exponential clustering in the disorder fields.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.530270
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    On the connetion between Euclidean and Hamiltonian lattice field theories of vortices and anyons (1991)
    Springer
    The European physical journal 51 (1991), S. 665-674 
    Details
    ISSN: 1434-6052
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In the (2+1)-dimensional non-compact Abelian lattice Higgs model Euclidean correlation functions of vortices and, after adding the Chern-Simons term to the action, correlation functions of transmuted matter fields (anyons) are set up. These correlation functions satisfy Osterwalder-Schrader positivity. Via the transition to continuous Euclidean time, vortex and anyon operators within a Hamiltonian lattice formulation are obtained, respectively, and their respective dual algebras are displayed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01565594
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  • 3
    Electronic Resource
    Electronic Resource
    On the connection between the decaysπ 0→2γ andπ +→e++υ+γ (1963)
    Springer
    The European physical journal 173 (1963), S. 438-440 
    Details
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A result discovered byVaks andIoffe is newly derived using reduction technique and G-invariance only. It has some consequences concerning the decaysπ 0→2γ andπ +→e++υ+γ and various coupling constants of theϱ and ω particle.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01380707
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    A remark on SU4 (1965)
    Springer
    The European physical journal 187 (1965), S. 228-231 
    Details
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Several of the interesting new relations in elementary particle physics discovered from the hypothesis of SU6 symmetry of strong interactions, are shown to follow from the less restrictive assumption of SU4 symmetry alone. Since isospin invariance is a much more closely obeyed symmetry than SU3, these relations may be the best tests for the validity of combining internal symmetries with spin.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01579588
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  • 5
    Electronic Resource
    Electronic Resource
    The Adler-Weisberger sum rule (1967)
    Springer
    The European physical journal 202 (1967), S. 349-363 
    Details
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Starting from a weak form of the axial current algebra and usingFubini's covariant dispersion method we give a fairly rigorous derivation of the Adler-Weisberger sum rule. Special attention is given to the necessary continuation in the “pion mass”. Combining the sum rule with the forwardπ ± p dispersion relation we obtain a sum rule containing essentially low energy data. A numerical evaluation is given for two sets of existing s-waveπN scattering lengths. The one reproducesAdler's andWeisberger's results, the other improves the agreement with experiment giving rA=1.20.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01331219
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  • 6
    Electronic Resource
    Electronic Resource
    Difficulties with a unified treatment of nonleptonic weak interactions (1967)
    Springer
    The European physical journal 207 (1967), S. 308-312 
    Details
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The isospin selection rule in a unified treatment ofCP-conserving andCP-violating nonleptonic weak interactions proposed byNishijima andSwank is investigated and compared to that of a modified version.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01326143
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  • 7
    Electronic Resource
    Electronic Resource
    A dual resonance model for the π π π $${\cal N}\bar {\cal N}$$ -five-point function (1970)
    Springer
    The European physical journal 237 (1970), S. 107-120 
    Details
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Assuming that the Bardakçi-RueggB 5-function is relevant for the dynamical description of hadronic single particle production processes we construct a model for the π π π $${\cal N}\bar {\cal N}$$ -five-point function. For the invariant functions appearing in a suitably chosen invariant decomposition an ansatz is made in terms ofB 5-functions multiplied by polynomials of the invariant variables which are required by factorization. The Regge trajectories introduced are those of the π, ϱ,P′, ω and $$\mathcal{N}$$ . With this set of trajectories, admitting as small a number of satellite terms as possible, invariant functions are constructed having both the correct crossing and factorization properties at the π, $$\mathcal{N}$$ (and $$\bar {\cal N}$$ ) poles. Further constraints emerge from an investigation of the asymptotic behaviour in the single Regge limits. Only one parameter remains undetermined. As an application of the model consequences for the process $$\pi \mathcal{N} \to \rho \mathcal{N}$$ are studied.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01404470
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  • 8
    Electronic Resource
    Electronic Resource
    Theπ π πNÑ-five-point function (1970)
    Springer
    The European physical journal 236 (1970), S. 192-212 
    Details
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Choosing a suitable covariant decomposition of theπ π πNÑ-five-point function the crossing relations are derived and a complete reduction of them is given. The implications of the known factorization properties at the one-particle singularities of the invariant functions on their assumed Regge behaviour is investigated and a set of asymptotic relations between them is found. A mass degenerate parity doublet of the nucleon can remove the relations connected with the nucleon poles.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01394773
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  • 9
    Electronic Resource
    Electronic Resource
    Convergence of Migdal-Kadanoff iterations: A simple and general proof (1988)
    Springer
    Letters in mathematical physics 15 (1988), S. 289-295 
    Details
    ISSN: 1573-0530
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract A short proof is presented showing convergence of Migdal-Kadanoff iterations for a large class of functions on compact connected Lie groups. From our estimate of the rate of convergence, we deduce lower bounds for string tension and mass gap in hierarchical four-dimensional lattice gauge and twodimensional spin models.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00419586
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  • 10
    Electronic Resource
    Electronic Resource
    The pressure in lattice Yang-Mills theories (1982)
    Springer
    Letters in mathematical physics 6 (1982), S. 81-84 
    Details
    ISSN: 1573-0530
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract A simple proof is given that the infinite volume limit for the pressure of a lattice Yang-Mills theory exists and is a continuous function of β.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02281173
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