Hamiltonian Lattice QCD with Wilson Fermions at Strong Coupling
نویسندگان
چکیده
Hamiltonian lattice QCD with Wilson fermions is investigated systematically by strongcoupling expansion up to the second order. The effective Hamiltonian is diagonalized by Bogoliubov transformation. The vacuum energy, chiral condensate, pseudo-scalar and vector meson masses are calculated. The comparison with the unitary transformation method by Luo and Chen is also made. The method discussed in this paper has potential application to QCD at finite density.
منابع مشابه
Tricritical point of lattice QCD with Wilson quarks at finite temperature and density
First principle study of QCD at finite temperature T and chemical potential μ is essential for understanding a wide range of phenomena from heavy-ion collisions to cosmology and neutron stars. However, in the presence of finite density, the critical behavior lattice gauge theory without species doubling, is unknown. At strong coupling, we examine the phase structure on the (μ, T ) plane, using ...
متن کاملHamiltonian lattice quantum chromodynamics at finite density with Wilson fermions
Quantum chromodynamics (QCD) at sufficiently high density is expected to undergo a chiral phase transition. In Lagrangian SU(3) lattice gauge theory, the standard approach breaks down at large chemical potential μ, due to the complex action problem. (QCD at large μ is of particular importance for neutron star or quark star physics). The Hamiltonian formulation of lattice QCD doesn’t encounter s...
متن کاملQCD chiral Lagrangian on the lattice, strong coupling expansion and Ward identities with Wilson fermions
We discuss a general strategy to compute the coefficients of the QCD chiral Lagrangian using lattice QCD with Wilson fermions. This procedure requires the introduction of a lattice chiral Lagrangian as an intermediate step in the calculation. The QCD chiral Lagrangian is then obtained by expanding the lattice effective theory in increasing powers of the lattice spacing and the external momenta....
متن کاملThe Schrödinger functional running coupling with staggered fermions and its application to many flavor QCD
We discuss the Schrödinger functional in lattice QCD with staggered fermions and relate it, in the classical continuum limit, to the Schrödinger functional regularized with Wilson fermions. We compute the strong coupling constant defined via the Schrödinger functional with staggered fermions at one loop and show that it agrees with the continuum running coupling constant in the Schrödinger func...
متن کاملThe Schrödinger functional running coupling with staggered fermions
We discuss the Schrödinger functional in lattice QCD with staggered fermions including its order O(a) boundary counterterms. We relate it, in the classical continuum limit, to the Schrödinger functional as obtained in the same limit with Wilson fermions. We compute the strong coupling constant defined via the Schrödinger functional with staggered fermions at one loop and show that it agrees wit...
متن کامل