307 research outputs found
One-loop counterterms in the Yang-Mills theory with gauge invariant ghost field Lagrangian
One-loop calculations of renormalization constants in the model with gauge
invariant ghost field Lagrangian are performed. It is shown that the model is
asymptotically free and the renormalization constants satisfy the same equation
as in the ordinary Yang-Mills theory.Comment: 11 pages, 6 figure
Higgs mechanism as a collective effect due to extra dimension
A systematic analysis of the unitary electroweak model described by the
higher derivative Lagrangian depending on extra dimension [1] is presented.Comment: 11 pages, no figure
Scalar products of Bethe vectors in the 8-vertex model
We obtain a determinant representation of normalized scalar products of
on-shell and off-shell Bethe vectors in the inhomogeneous 8-vertex model. We
consider the case of rational anisotropy parameter and use the generalized
algebraic Bethe ansatz approach. Our method is to obtain a system of linear
equations for the scalar products, prove its solvability and solve it in terms
of determinants of explicitly known matrices.Comment: 57 pages, minor correction
Fermion theories on a 2d torus with Wilson action improved by Pauli -- Villars regularization
Vectorial and anomaly free chiral U(1) fermion models on a 2d finite lattice
are considered. It is demonstrated both numerically and analytically that
introduction of Pauli -- Villars type regularization supresses the symmetry
breaking effects caused by the Wilson term.Comment: 17 pages, Latex, 6 eps-figure
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