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Exceptional solutions to the Bethe ansatz equations
The properties of some special solutions of the equations of the Bethe ansatz are investigated. Examples of nontrivial Bethe vectors corresponding to solutions with equal values of the spectralExpand
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A queer reduction of degrees of freedom
The classical dynamics of antisymmetric second-rank tensor matter fields is analyzed. The conformally invariant action for the tensor field leads to a positive-definite hamiltonian on the class ofExpand
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Renormalizations in supersymmetric and nonsupersymmetric non-abelian Chern-Simons field theories with matter
Abstract We explicitly carry out the renormalization of non-abelian Chern-Simons field theories with matter in (2 + 1) dimensions. All the renormalization constants are calculated to the leadingExpand
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Renormalizations in abelian Chern-Simons field theories with matter
Abstract We consider renormalizations in D = 3 abelian Chern-Simons field theories with matter. The anomalous dimensions and β-functions in a general renormalizable theory with the global SU( n )Expand
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O (aas2) correction to the electroweak ? parameter
The three-loop QCD contributions to the vacuum polarization functions of the Z and W bosons at zero momentum are calculated. The top quark is considered to be massive and the other quarks massless.Expand
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Pole masses of quarks in dimensional reduction
Abstract Pole masses of quarks in quantum chromodynamics are calculated to two-loop order in the framework of the regularization by dimensional reduction. For the diagram with a light quark loop, theExpand
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Dimensional Regularization and Supersymmetry
Abstract We examine in detail the techniques of supersymmetric dimensional regularization. A peculiar complementarity is found to be inherent in the regularization: its manifestly supersymmetricExpand
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Renormalizations in softly broken SUSY gauge theories
The supergraph technique for calculations in supersymmetric gauge theories where supersymmetry is broken in a "soft" way (without introducing quadratic divergencies) is reviewed. By introducing anExpand
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Antisymmetric tensor matter fields. An abelian model
Abstract We present a simple renormalizable abelian gauge model which includes antisymmetric second-rank tensor fields as matter fields rather than gauge fields known for a long time. The free actionExpand
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Solutions of the Bethe ansatz equations for XXX antiferromagnet of arbitrary spin in the case of a finite number of sites
The exactly integrable isotropic Heisenberg chain of N spins s is studied, and numerical solutions to the Bethe ansatz equations corresponding to the antiferromagnetic vacuum (for sN less than orExpand
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