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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік за датою випуску

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік за датою випуску

Сортувати за: Порядок: Результатів:

  • Translation-Invariant Noncommutative Renormalization 
    Tanasa, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We review here the construction of a translation-invariant scalar model which was proved to be perturbatively renormalizable on Moyal space. Some general considerations on nonlocal renormalizability are given. Finally, we ...
  • Epsilon Systems on Geometric Crystals of Type An 
    Nakashima, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We introduce an epsilon system on a geometric crystal of type An, which is a certain set of rational functions with some nice properties. We shall show that it is equipped with a product structure and that it is invariant ...
  • Strong Field, Noncommutative QED 
    Ilderton, A.; Lundin, J.; Marklund, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We review the effects of strong background fields in noncommutative QED. Beginning with the noncommutative Maxwell and Dirac equations, we describe how combined noncommutative and strong field effects modify the propagation ...
  • One-Loop Calculations and Detailed Analysis of the Localized Non-Commutative p⁻² U(1) Gauge Model 
    Blaschke, D.N.; Rofner, A.; Sedmik, R.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    This paper carries forward a series of articles describing our enterprise to construct a gauge equivalent for the θ-deformed non-commutative 1 p2 model originally introduced by Gurau et al. [Comm. Math. Phys. 287 (2009), ...
  • The Noncommutative Ward Metric 
    Lechtenfeld, O.; Maceda, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We analyze the moduli-space metric in the static non-Abelian charge-two sector of the Moyal-deformed CP1 sigma model in 1+2 dimensions. After carefully reviewing the commutative results of Ward and Ruback, the noncommutative ...
  • Geodesic Reduction via Frame Bundle Geometry 
    Bhand, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    A manifold with an arbitrary affine connection is considered and the geodesic spray associated with the connection is studied in the presence of a Lie group action. In particular, results are obtained that provide insight ...
  • On the Existence of a Codimension 1 Completely Integrable Totally Geodesic Distribution on a Pseudo-Riemannian Heisenberg Group 
    Batat, W.; Rahmani, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    In this note we prove that the Heisenberg group with a left-invariant pseudo-Riemannian metric admits a completely integrable totally geodesic distribution of codimension 1. This is on the contrary to the Riemannian case, ...
  • Manifestly Conformal Descriptions and Higher Symmetries of Bosonic Singletons 
    Bekaert, X.; Grigoriev, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The usual ambient space approach to conformal fields is based on identifying the d-dimensional conformal space as the Dirac projective hypercone in a flat d+2-dimensional ambient space. In this work, we explicitly concentrate ...
  • The Scattering Problem for a Noncommutative Nonlinear Schrödinger Equation 
    Durhuus, B.; Gayral, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We investigate scattering properties of a Moyal deformed version of the nonlinear Schrödinger equation in an even number of space dimensions. With rather weak conditions on the degree of nonlinearity, the Cauchy problem ...
  • Ordering of Energy Levels for Extended SU(N) Hubbard Chain 
    Hakobyan, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The Lieb-Mattis theorem on the antiferromagnetic ordering of energy levels is generalized to SU(N) extended Hubbard model with Heisenberg exchange and pair-hopping terms. It is proved that the minimum energy levels among ...
  • Dynamical Critical Exponent for Two-Species Totally Asymmetric Diffusion on a Ring 
    Wehefritz-Kaufmann, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We present a study of the two species totally asymmetric diffusion model using the Bethe ansatz. The Hamiltonian has Uq(SU(3)) symmetry. We derive the nested Bethe ansatz equations and obtain the dynamical critical exponent ...
  • Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves 
    England, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We develop the theory of Abelian functions associated with cyclic trigonal curves by considering two new cases. We investigate curves of genus six and seven and consider whether it is the trigonal nature or the genus which ...
  • Spectral Distances: Results for Moyal Plane and Noncommutative Torus 
    Cagnache, E.; Wallet, J.C. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The spectral distance for noncommutative Moyal planes is considered in the framework of a non compact spectral triple recently proposed as a possible noncommutative analog of non compact Riemannian spin manifold. An explicit ...
  • On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory 
    Goursac, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The harmonic term in the scalar field theory on the Moyal space removes the UV-IR mixing, so that the theory is renormalizable to all orders. In this paper, we review the three principal interpretations of this harmonic ...
  • Level Set Structure of an Integrable Cellular Automaton 
    Takagi, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Based on a group theoretical setting a sort of discrete dynamical system is constructed and applied to a combinatorial dynamical system defined on the set of certain Bethe ansatz related objects known as the rigged ...
  • Cosmological Symmetry Breaking and Generation of Electromagnetic Field 
    Nagasawa, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Cosmological phase transitions accompanied by some kind of symmetry breaking would cause the creation of topological defects and the resulting production of primordial magnetic field. Moreover, such a procedure inevitably ...
  • Integral calculus on Eq(2) 
    Brzeziński, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The complexes of integral forms on the quantum Euclidean group Eq(2) and the quantum plane are defined and their isomorphisms with the corresponding de Rham complexes are established.
  • Yang-Baxter Maps from the Discrete BKP Equation 
    Kakei, S.; Nimmo, J; Willox, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We construct rational and piecewise-linear Yang–Baxter maps for a general N-reduction of the discrete BKP equation.
  • Finite Unification: Theory and Predictions 
    Heinemeyer, S.; Mondragón, M.; Zoupanos, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    All-loop Finite Unified Theories (FUTs) are very interesting N=1 supersymmetric Grand Unified Theories (GUTs) which not only realise an old field theoretic dream but also have a remarkable predictive power due to the ...
  • Archimedean atomic lattice effect algebras with complete lattice of sharp elements 
    Riecanova, Z. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We study Archimedean atomic lattice effect algebras whose set of sharp elements is a complete lattice. We show properties of centers, compatibility centers and central atoms of such lattice ef fect algebras. Moreover, we ...

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