/ 97 12 47 7 v 1 2 2 D ec 1 99 7 On the renormalization - scheme dependence in quantum field theory . Anton

X iv : h ep - t h / 97 12 22 7 v 1 2 4 D ec 1 99 7 Quantum Integrability of Coupled N = 1 Super Sine / Sinh - Gordon

We discuss certain integrable quantum field theories in (1+1)-dimensions consisting of coupled sine/sinh-Gordon theories with N = 1 supersymmetry, positive kinetic energy, and bosonic potentials which are bounded from below. We show that theories of this type can be constructed as Toda models based on the exceptional affine Lie superalgebra D(2, 1;α) (or on related algebras which can be obtaine...

ar X iv : h ep - t h / 97 05 19 1 v 1 2 5 M ay 1 99 7 On calculation of the off - shell renormalization functions in the R 2 – gravity

A new way how to calculate the off-shell renormalization functions within the R 2-gravity has been proposed. The one-loop renormaliza-tion group equations in the approach suggested have been constructed. The behaviour of effective potential for an massless scalar field interacting with the quantum gravitational field has been analyzed in this approach.

ar X iv : h ep - p h / 97 12 39 1 v 1 1 6 D ec 1 99 7 Amplitude analysis of hadron decays

We provide succinct covariant amplitude decompositions of 2-body weak hadronic decays, with which to compare data, including exclusive rates, helicity amplitudes and polarizations. For weak decays, the systematic dependence of these amplitudes on masses and quantum numbers of participating particles are determined within a factor of about two by the CKM angles and the Fermi constant so theoreti...

D ec 1 99 7 q R – CONFORMAL SYMMETRIES IN 2 D NONLOCAL QUANTUM FIELD THEORY , CATEGORICAL REPRESENTATION THEORY , AND VIRASORO ALGEBRA

ar X iv : h ep - t h / 97 12 14 7 v 1 1 5 D ec 1 99 7 Global Renormalization Group

The motivation and the challenge in applying the renormalization group for systems with several scaling regimes is briefly outlined. The four dimensional φ model serves as an example where a nontrivial low energy scaling regime is identified in the vicinity of the spinodal instability region. It is pointed out that the effective theory defined in the vicinity of the spinodal instability offers ...