Hamiltonian Lattice QCD from Strong Coupling Expansion

Abstract

We present generalizations of Hamiltonian Lattice QCD as derived from the continuous time limit of strong coupling lattice QCD: we discuss the flavor dependence and the effect of gauge corrections. This formalism can be applied at finite temperature and baryon density as well as isospin density and allows both for analytic and numeric investigations that are sign problem-free.

Towards Quantum Monte Carlo Simulations at non-zero Baryon and Isospin Density in the Strong Coupling Regime

“…The full Hilbert space has thus dimension 𝐷 = 𝑑 Ω with Ω = 𝑁 3 𝑠 the spatial lattice volume. To refine the 92 states for 𝑁 𝑓 = 2 further in terms of baryon and isosopin number and meson occupation numbers, the 1-link integral is expressed via the following invariants [14]:…”

“…Whereas in meanfield theory also the extension from 𝑁 𝑓 = 1 flavor of staggered fermions to 𝑁 𝑓 = 2 is straight forward [5,13], the 𝑁 𝑓 = 2 dual formulation is much more involved. As explained in [14], the list of color singlet invariants is much larger, and Grassmann integration yields contractions that…”