Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-08-08
Int.J.Mod.Phys. A14 (1999) 4259-4274
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, LATEX, no figures, to appear in Int. J. Mod. Phys. A
Scientific paper
10.1142/S0217751X99002001
Using the new regularization and renormalization scheme recently proposed by Yang and used by Ni et al, we analyse the sine-Gordon and sinh-Gordon models within the framework of Gaussian effective potential in D+1 dimensions. Our analysis suffers no divergence and so does not suffer from the manipulational obscurities in the conventional analysis of divergent integrals. Our main conclusions agree exactly with those of Ingermanson for D=1,2 but disagree for D=3: the D=3 sinh(sine)-Gordon model is non-trivial. Furthermore, our analysis shows that for D=1,2, the running coupling constant (RCC)has poles for sine-Gordon model($\gamma^2<0$) and the sinh-Gordon model ($\gamma^2>0$) has a possible critical point $\gamma^2_c$ while for D=3, the RCC has poles for both $\gamma^2>0$ and $\gamma^2<0$.
Feng Sze-Shiang
Ni Guang-jiong
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