Abstract
We study the QCD phase diagram in the strong coupling limit with fluctuation effects by using the auxiliary field Monte-Carlo method. We apply the chiral angle fixing technique in order to obtain finite chiral condensate in the chiral limit in finite volume. The behavior of order parameters suggests that chiral phase transition is the second order or crossover at low chemical potential and the first order at high chemical potential. Compared with the mean field results, the hadronic phase is suppressed at low chemical potential, and is extended at high chemical potential as already suggested in the monomer-dimer-polymer simulations. We find that the sign problem originating from the bosonization procedure is weakened by the phase cancellation mechanism; a complex phase from one site tends to be canceled by the nearest neighbor site phase as long as low momentum auxiliary field contributions dominate.
Highlights
Quantum Chromodynamics (QCD) phase diagram is attracting much attention in recent years
At high temperature (T ), there is a transition from quark-gluon plasma (QGP) to hadronic matter via the crossover transition, which was realized in the early universe and is extensively studied in high-energy heavy-ion collision experiments at RHIC and LHC
We study the QCD phase diagram by using an auxiliary field Monte-Carlo (AFMC) method as a tool to take account of the fluctuation effects of the auxiliary fields
Summary
Quantum Chromodynamics (QCD) phase diagram is attracting much attention in recent years. There are many attempts to avoid the sign problem such as the reweighting method [1], the Taylor expansion method [2], the analytic continuation from imaginary chemical potential [3], the canonical ensemble method [4], the fugacity expansion [5], the histogram method [6], and the complex Langevin method [7]. Many of these methods are useful for μ/T < 1, while it is difficult to perform the Monte-Carlo simulation in the larger μ region
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