A local gauge invariant infrared regularization of the Yang-Mills theory

A local gauge invariant infrared regularization for the Yang-Mills theory is constructed on the basis of a higher derivative formulation of the model.Comment: 7 page

Behaviour of the potentials due to strangeness degree of freedom in ΛΛ6_{\Lambda\Lambda}^6He hypernucleus

Fully correlated study of $_{\Lambda\Lambda} ^6$He hypernucleus has been performed with two- and three- baryon potentials. For the S=-2 sector, various simulations of Nijmegen $\Lambda\Lambda$ potential models have been used. We investigate the role of every strength of the strange sector potentials on the energy breakdown and present a crystal clear understanding of their interplay. Consistency between $_\Lambda ^5$He and $_{\Lambda\Lambda}^6$He depends on the $\Lambda N$ space-exchange strength only. Investigation limits the strength of simulated Nijmegen $\Lambda\Lambda$ potential models. The study is a step forward to determine all the strengths, to reslove A=5 anomaly and to search for $_{\Lambda\Lambda}^4$H in an authentic way.Comment: 4 pages, 1 figur

Ambiguity-free formulation of the Higgs-Kibble model

A renormalizable ambiguity-free formulation of the Higgs-Kibble model is proposed.Comment: 16 pages, latex. To be published in Theor. Math. Phy

Smoothness of holonomies for codimension 1 hyperbolic dynamics

Hyperbolic invariant sets {Lambda} of C1+{gamma} diffeomorphisms where either the stable or unstable leaves are 1-dimensional are considered in this paper. Under the assumption that the {Lambda} has local product structure, the authors prove that the holonomies between the 1-dimensional leaves are C1+{alpha} for some 0 < {alpha} < 1

Schwinger-Dyson approach and its application to generate a light composite scalar

We discuss the possibility of generating a light composite scalar boson, in a scenario that we may generically call Technicolor, or in any variation of a strongly interacting theory, where by light we mean a scalar composite mass about one order of magnitude below the characteristic scale of the strong theory. Instead of most of the studies about a composite Higgs boson, which are based on effective Lagrangians, we consider this problem in the framework of non-perturbative solutions of the fermionic Schwinger-Dyson and Bethe-Salpeter equations. We study a range of mechanisms proposed during the recent years to form such light composite boson, and verify that such possibility seems to be necessarily associated to a fermionic self-energy that decreases slowly with the momentum.Comment: 35 pages, 6 figures, few typos corrected. Version to appear in IJMP