Higgs-Yukawa Model in Chirally Invariant Lattice Field Theory

Figure 6

The phase structure analysis. (a) shows analytical predictions for the case of 𝐿_𝑠=∞, 𝑁_𝑓=∞ and 𝜆^∼_𝑁=0.1. The black line indicates a first-order phase transition, while all other transitions are of second order. (b) demonstrates a numerical test of the transitions from the SYM to both FM and AFM phases with 𝑁_𝑓=10. (c) displays the 𝑁_𝑓 dependence in the critical values of 𝜅 for the SYM-FM and SYM-AFM transitions, at 𝜆^∼_𝑁=0.1 and 𝑦^∼_𝑁=1.0. These critical 𝜅 values are denoted as 𝜅^𝑚_crit (>0) and 𝜅^𝑠_crit (<0), respectively. The squares and circles in (b) and (c) come from direct numerical simulations on the indicated lattice sizes.

(a)

(b)

(c)