Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1998-04-20
Phys.Rev. D58 (1998) 074501
Physics
High Energy Physics
High Energy Physics - Lattice
22 pages, LaTeX, 5 figures (added several references and a comment)
Scientific paper
10.1103/PhysRevD.58.074501
We discuss the phase diagram of Wilson fermions in the $m_0$--$g^2$ plane for two-flavor QCD. We argue that, as originally suggested by Aoki, there is a phase in which flavor and parity are spontaneously broken. Recent numerical results on the spectrum of the overlap Hamiltonian have been interpreted as evidence against Aoki's conjecture. We show that they are in fact consistent with the presence of a flavor-parity broken ``Aoki phase''. We also show how, as the continuum limit is approached, one can study the lattice theory using the continuum chiral Lagrangian supplemented by additional terms proportional to powers of the lattice spacing. We find that there are two possible phase structures at non-zero lattice spacing: (1) there is an Aoki phase of width $\Delta m_0 \sim a^3$ with two massless Goldstone pions; (2) there is no symmetry breaking, and all three pions have an equal non-vanishing mass of order $a$. Present numerical evidence suggests that the former option is realized for Wilson fermions. Our analysis then predicts the form of the pion masses and the flavor-parity breaking condensate within the Aoki phase. Our analysis also applies for non-perturbatively improved Wilson fermions.
Jr.
Sharpe Stephen
Singleton Robert
No associations
LandOfFree
Spontaneous Flavor and Parity Breaking with Wilson Fermions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Spontaneous Flavor and Parity Breaking with Wilson Fermions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spontaneous Flavor and Parity Breaking with Wilson Fermions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-130552