ar X iv : h ep - t h / 92 12 03 9 v 1 5 D ec 1 99 2 On Free Boson Representations of

ar X iv : h ep - p h / 99 12 28 8 v 2 1 5 D ec 1 99 9 Lattice Calculations and Hadron Physics

ar X iv : h ep - t h / 98 12 03 2 v 1 3 D ec 1 99 8 Holography and the Weyl anomaly

We review our calculation of theWeyl anomaly for d-dimensional conformal field theories that have a description in terms of a (d+ 1)-dimensional gravity theory.

ar X iv : h ep - t h / 03 12 24 4 v 1 1 9 D ec 2 00 3 FIAN / TD / 07 – 03 On Sp ( 2 M ) Invariant Green Functions

Explicit form of two-point and three-point Sp (2M) invariant Green functions is found.

ar X iv : h ep - t h / 99 12 07 5 v 2 1 4 D ec 1 99 9 SMI - 15 - 99 Two - Loop Diagrams in Noncommutative φ 44 theory

Explicit two-loop calculations in noncommutative ϕ 4 4 theory are presented. It is shown that the model is two-loop renormalizable.

ar X iv : h ep - t h / 96 12 11 1 v 1 1 0 D ec 1 99 6 The antiferromagnetic φ 4 Model , II . The one - loop renormalization

It is shown that the four dimensional antiferromagnetic lattice φ model has the usual non-asymptotically free scaling law in the UV regime around the chiral symmetrical critical point. The theory describes a scalar and a pseudoscalar particle. A continuum effective theory is derived for low energies. A possibility of constructing a model with a single chiral boson is mentioned.