Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1992-05-03
Nucl.Phys. B378 (1992) 652-682
Physics
High Energy Physics
High Energy Physics - Lattice
22 pages plus 13 figures
Scientific paper
10.1016/0550-3213(92)90612-F
We study by numerical simulation a lattice Yukawa model with naive fermions at intermediate values of the Yukawa coupling $y$ when the nearest neighbour coupling $\kp$ of the scalar field $\Phi$ is very weakly ferromagnetic ($\kp \approx 0$) or even antiferromagnetic ($\kappa < 0$) and the nonvanishing value of $\vev$ is generated by the Yukawa interaction. The renormalized Yukawa coupling $y_R$ achieves here its maximal value and this $y$-region is thus of particular importance for lattice investigations of strong Yukawa interaction. However, here the scalar field propagators have a very complex structure caused by fermion loop corrections and by the proximity of phases with antiferromagnetic properties. We develop methods for analyzing these propagators and for extracting the physical observables. We find that going into the negative $\kp$ region, the scalar field renormalization constant becomes small and $y_R$ does not seem to exceed the unitarity bound, making the existence of a nontrivial fixed point in the investigated Yukawa model quite unlikely.
Bock Wolfgang
De Asit K.
Frick Christoph
Jersak Jiri
Trappenberg Thomas
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