Pion-nucleon elastic scattering in the dominant P33 channel is examined in the model in which the interaction is of the form π + N ↔ N, ∆(1232). A Low equation formalism is employed which uses covariant phase space and normalizations, a finite nucleon mass, and generates the invariant scattering amplitude which is free of kinematic singularities. New expressions are found for the elastic pion-n...

The decay width of the Z gauge boson into three jets has already been computed at the leading order (LO) including complete quark mass effects [1–3] where it has been shown that mass effects could be as large as 1% to 6%, depending on the value of the mass and the jet resolution parameter yc. In fact, these effects had already been seen in the experimental tests of the flavor independence of th...

The reaction pp → ppφ is investigated within a relativistic mesonexchange model of hadronic interactions. The possibility of extracting the NNφ coupling constant from a study of this process is explored. A combined analysis of ω− and φ-meson production in proton-proton collisions utilizing recent data on these reactions is carried out and yields values for gNNφ that are compatible with the OZI ...

By making use of the duality transformation, gauge field correlators of the Abelian Higgs Model are studied in the London limit. The obtained results are in a good agreement with the dual Meissner scenario of confinement and with the Stochastic Model of QCD vacuum. The nontrivial contribution to the quartic correlator arising due to accounting for the finiteness of the coupling constant is disc...

We study the Abelian Thirring Model when the fermionic fields have non-conserved chiral charge: ∆Q 5 = N. One of the main features we find for this model is the dependence of the Virasoro central charge on both the Thirring coupling constant and N. We show how to evaluate correlation functions and in particular we compute the conformal dimensions for fermions and fermionic bilinears, which depe...

It is widely accepted that the idea of inflation [2] is the best solution to many cosmological problems such as flatness, homogeneity and isotropy of the observed universe [3]. In models of particle physics models of inflation, it took place essentially due to a scalar field, the inflaton field, whose potential is so flat that the inflaton can roll down only very slowly [4]. Under such a ‘slowr...

The general theory of a massless fermion coupled to a massive vector meson in two dimensions is formulated and solved to obtain the complete set of Green's functions. Both vector and axial vector couplings are included. In addition to the boson mass and the two coupling constants, a coefficient which denotes a particular current definition is required for a unique specification of the model. Th...

We consider hadron production in deep inelastic scattering of electrons on photons. (i) Exploiting the leading order QCD corrections due to gluon bremsstrahlung we find that the photon structure functions rapidly approach their asymptotic form which can be calculated in QCD. (ii) Replacing QCD by a theory with fixed quark-gluon coupling constant [scalar or Abelian gluonsl gives dramatic changes...

Now that we have assembled the pieces, we can write down the Standard Model Lagrangian. It consists of three gauge theories based on the groups SU(3) for color, SU(2) for weak charge, and U(1) for hypercharge, with three independent coupling constants g3, g2, and g1, and three gauge potentials: eight gluons, Gμ , A = 1, 2, . . . , 8, three weak bosons, W a μ , a = 1, 2, 3, and one Hyperon Bμ, w...

It is known that Liouville theory can be represented as an SL(2,R) gauged WZW model. We study a two dimensional field theory which can be obtained by analytically continuing some of the variables in the SL(2,R) gauged WZW model. We can derive Liouville theory from the analytically continued model, ( which is a gauged SL(2, C)/SU(2) model, ) in a similar but more rigorous way than from the origi...