arXiv subjects

Pratitee Pattanaik

Publications and source records attributed to Pratitee Pattanaik.

6 recordsLinked to original sources

arXiv2025

The chiral critical point from the strong coupling expansion

The strong coupling expansion for staggered fermions allows for Monte Carlo simulations using a dual representation. It has a mild sign problem for low values of the inverse gauge coupling $β$, hence the phase diagram in the full $μ_B - T$ plane can be evaluated. We have extended this framework to include $\mathcal{O}(β)$ and $\mathcal{O}(β^2)$ corrections, by mapping the degrees of freedom to a vertex model. We present results on the $β$-dependence of the chiral critical point from those simulations.

hep-lat↗

arXiv2023

Chiral Transition via Strong Coupling Expansion

We investigate the chiral transition of $U(3)$ lattice gauge theory based on the strong coupling expansion. A generalized vertex model with vertices and weights derived from the tensor network approach of the dual representation of lattice QCD with staggered fermions is used and the configurations are sampled by the Metropolis algorithm. We study the chiral transition in the chiral limit and focus on the dependence of the second-order chiral transition temperature $aT_c$ for different values of the lattice gauge coupling $β$. We compare different orders of truncations of the strong coupling expansion: $Ord(β^0)$, $Ord(β^1)$, and $Ord(β^2)$. We comment on the prospects of extending to $SU(3)$ at finite density.

hep-lat↗

arXiv2023

Nuclear Liquid-Gas Transition in the Strong Coupling Regime of Lattice QCD

The nuclear liquid-gas transition from a gas of hadrons to a nuclear phase cannot be determined numerically from conventional lattice QCD due to the severe sign problem at large values of the baryon chemical potential. In the strong coupling regime of lattice QCD with staggered quarks, the dual formulation is suitable to address the nuclear liquid gas transition. We determine this first order transition at low temperatures and as a function of the quark mass and the inverse gauge coupling $β$. We also determine the baryon mass and discuss the nuclear interactions as a function of the quark mass, and compare to mean field results.

hep-lat↗

arXiv2022

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

The Hamiltonian formulation of Lattice QCD with staggered fermions in the strong coupling limit has no sign problem at non-zero baryon density and allows for Quantum Monte Carlo simulations. We have extended this formalism to two flavors, and after a resummation, there is no sign problem both for non-zero baryon and isospin chemical potential. We report on recent progress on the implementation of the Quantum Monte Carlo simulations.

hep-lat↗

arXiv2022

Nuclear Transition in the Strong Coupling Limit

Lattice QCD at finite baryon chemical potential has the infamous sign problem which hinders Monte Carlo simulations. This can be remedied by a dual representation that makes the sign problem mild. In the strong coupling limit, the dual formulation with staggered quarks is well established. We have used this formulation to study the quark mass dependence of the baryon mass and the nuclear transition. This allows us to quantify the nuclear interaction. We have also compared our Monte Carlo results with mean field predictions.

hep-lat↗

arXiv2021

Hamiltonian Lattice QCD from Strong Coupling Expansion

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.

hep-lat↗