ep - p h / 94 11 34 4 v 2 2 2 N ov 1 99 4 The simplest form of the κ and κ 2 order graviton self - interaction Lagrangian density in the weak field approximation

ar X iv : h ep - t h / 94 05 11 3 v 3 2 1 M ay 1 99 4 N = 1 SUPER – P – BRANES in twistor - like Lorentz harmonic formulation

Unique twistor–like Lorentz harmonic formulation for all N = 1 supersymmetric extended objects (super–p–branes) moving in the space–time of arbitrary dimension D (admissible for given p) are suggested. The equations of motion are derived, explicit form of the κ–symmetry transformations is presented and the classical equivalence to the standard formulation is proved. The cases with minimal world...

ar X iv : h ep - p h / 94 11 23 2 v 1 7 N ov 1 99 4 CHIRAL PERTURBATION THEORY 1

ar X iv : h ep - t h / 94 10 11 8 v 2 2 2 N ov 1 99 4 WILSON LOOPS , qq̄ and 3 q POTENTIALS , BETHE – SALPETER EQUATION

ar X iv : h ep - p h / 95 11 41 2 v 1 2 4 N ov 1 99 5 UWThPh - 1995 - 36 November 1995 Low – Energy QCD

After a brief introduction to chiral perturbation theory, the effective field theory of the standard model at low energies, two recent applications are reviewed: elastic pion–pion scattering to two– loop accuracy and the complete renormalized pion–nucleon Lagrangian to O(p 3) in the chiral expansion.

ar X iv : h ep - t h / 05 01 01 7 v 1 4 J an 2 00 5 Lorentz invariance of scalar field action on κ - Minkowski space - time

We construct field theory on noncommutative κ-Minkowski spacetime. Having the Lorentz action on the noncommutative space-time coordinates we show that the field lagrangian is invariant. We show that noncommutativity requires replacing the Leibnitz rule with the coproduct one.