Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1994-03-04
Phys.Rev. D50 (1994) 3387-3398; Addendum-ibid. D53 (1996) 6674-6677
Physics
High Energy Physics
High Energy Physics - Lattice
KEK-TH-390, KYUSHU-HET-17, 34 pages (harvmac) including 17 figures (appended in postscript format with uuencoded tar file).(Po
Scientific paper
10.1103/PhysRevD.50.3387
We develop analytical technique for examining phase structure of $Z_2$, $U(1)$, and $SU(2)$ lattice Higgs-Yukawa systems with radially frozen Higgs fields and chirally invariant lattice fermion actions. The method is based on variational mean field approximation. We analyse phase diagrams of such systems with different forms of lattice fermion actions and demonstrate that it crucially depends both on the symmetry group and on the form of the action. We discuss location in the diagrams of possible non-trivial fixed points relevant to continuum physics, and argue that the candidates can exist only in $Z_2$ system with SLAC action and $U(1)$ systems with naive and SLAC actions. [Note: By a product, missing term in Eq. (3.5) of hep-lat/9309010 is reconstructed, that, however, affects only the result of Sect. 4.3 (Fig. 3) of that reference (cf. Fig. 2(c) of this paper).]
Tominaga Shogo
Zenkin Sergei V.
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