ar X iv : h ep - t h / 99 11 19 6 v 3 1 F eb 2 00 2 RG - Improved Three - Loop Effective Potential of the Massive φ 4 Theory

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 - 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 11 02 2 v 3 3 F eb 2 00 6 Scaling , self - similar solutions and shock waves for V - shaped field potentials

We investigate a (1+1)-dimensional nonlinear field theoretic model with the field potential V (φ) = |φ|. It can be obtained as the universal small amplitude limit in a class of models with potentials which are symmetrically V-shaped at their minima, or as a continuum limit of certain mechanical system with infinite number of degrees of freedom. We point out that the model has an interesting sca...

X iv : h ep - t h / 99 05 08 6 v 1 1 2 M ay 1 99 9 Renormalization group improvement of the effective potential in massive φ 4 theory

Using the method of renormalization group, we improve the two-loop effective potential of the massive φ4 theory to obtain the next-next-to-leading logarithm correction in the MS scheme. Our result well reproduces the nextnext-to-leading logarithm parts of the ordinary loop expansion result known up to the four-loop order. PACS number(s): 11.10.Hi Typeset using REVTEX ∗Electronic address: chung@...

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.