ar X iv : h ep - t h / 05 10 08 4 v 1 11

ar X iv : h ep - t h / 05 10 08 4 v 1 1 1 O ct 2

We discuss a gauged U(1)R supergravity on five-dimensional orbifold (S/Z2) in which a Z2-even U(1) gauge field takes part in the U(1)R gauging, and show the structure of Fayet-Iliopoulos (FI) terms allowed in such model. Some physical consequences of the FI terms are examined.

ar X iv : h ep - t h / 05 11 16 1 v 2 1 9 N ov 2 00 6 The Effective Potential in the Massive φ 4 4 Model

ar X iv : h ep - p h / 05 08 19 4 v 1 1 8 A ug 2 00 5 Analytic ε − Expansion of the Scalar One - loop

We derive the first three terms of the ε− expansion of the scalar one-loop Bhabha box function from a representation in terms of three generalized hypergeometric functions, which is valid in arbitrary dimensions.

ar X iv : h ep - t h / 05 11 16 1 v 1 1 6 N ov 2 00 5 The Effective Potential in the Massive φ 4 4 Model

ar X iv : h ep - t h / 05 08 08 7 v 1 1 1 A ug 2 00 5 Fundamental Commutators in a Gravitational Field

We show how an induced invariance of the massless particle action can be used to construct an extension of the Heisenberg canonical commuta-tion relations in a non-commutative space-time.