Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-10-29
Physics
High Energy Physics
High Energy Physics - Phenomenology
Contribution to the Workshop on Lattice Hadron Physics II, LHP2003, Cairns, Australia July 22-July 30, 2003
Scientific paper
10.1016/S0920-5632(03)02463-0
A model for the QCD vacuum based on domain-like background gluon fields has previously been developed and demonstrated to exhibit confinement of quarks and strong correlation of the local chirality of quark modes and duality of the background gluon field. On the boundary of the j-th domain, quark fluctuations satisfy chirality violating boundary conditions parametrized by a chiral angle $\alpha_j$ which is treated as a collective variable. The dependence of the free energy of an ensemble of $N\to\infty$ domains on $\{\alpha_j, j=1... N\}$ is studied. For one massless flavour there are only two degenerate minima ($\alpha_j=0,\pi$ $\forall j$) due to the contribution of the anomaly to the free energy, which suppresses the continuous U(1) degeneracy. The residual discrete symmetry is spontaneously broken with a quark condensate of $-(238 {\rm{MeV}})^3.$ For $N_f$ massless flavours a continuous $SU(N_f)_L\times SU(N_f)_R$ degeneracy appears, while the $U_A(1)$ direction remains suppressed.
Kalloniatis Alex C.
Nedelko Sergei N.
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