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Approaches to finite baryon density lattice QCD usually suffer from uncontrolled systematic uncertainties in addition to the well-known sign problem. We test a method - sign reweighting - that works directly at finite chemical potential and…

High Energy Physics - Lattice · Physics 2021-12-09 Attila Pasztor , Szabolcs Borsanyi , Zoltan Fodor , Kornel Kapas , Sandor D. Katz , Matteo Giordano , Daniel Nogradi , Chik Him Wong

We present a numerical method for grand canonical density functional theory (DFT) tailored to solid-state systems, employing Gaussian-type orbitals as the primary basis. Our approach directly minimizes the grand canonical free energy using…

Chemical Physics · Physics 2025-10-09 Anton Z. Ni , Adam Rettig , Joonho Lee

This paper discusses a paradox encountered when employing the canonical approach, particularly in the high-temperature region where the Roberge-Weiss transition exists at finite imaginary chemical potential. The paradox is that the results…

High Energy Physics - Phenomenology · Physics 2026-05-20 Kouji Kashiwa , Hiroaki Kouno

The linear canonical transform (LCT) serves as a powerful generalization of the Fourier transform (FT), encapsulating various integral transforms within a unified framework. This versatility has made it a cornerstone in fields such as…

Functional Analysis · Mathematics 2024-10-28 Muhammad Adnan Samad , Yuanqing Xia , Saima Siddiqui , Muhammad Younus Bhat

Quantum percolation describes the problem of a quantum particle moving through a disordered system. While certain similarities to classical percolation exist, the quantum case has additional complexity due to the possibility of Anderson…

Quantum Physics · Physics 2014-10-03 C. M. Chandrashekar , Th. Busch

Extending the successes of lattice quantum chromodynamics(QCD) at zero as well as nonzero temperatures to nonzero density is extremely desirable in view of the quest for the QCD phase diagram both theoretically and experimentally. It turns…

High Energy Physics - Lattice · Physics 2020-11-25 Rajiv V. Gavai

Discrete numerical methods with finite time-steps represent a practical technique to solve initial-value problems involving nonlinear differential equations. These methods seem particularly useful to the study of chaos since no analytical…

Chaotic Dynamics · Physics 2010-01-01 Lun-Shin Yao

We present a finite-temperature canonical-ensemble determinant quantum Monte Carlo algorithm that enforces an exact fermion number and enables stable simulations of correlated lattice fermions. We propose a stabilized QR update that reduces…

Strongly Correlated Electrons · Physics 2026-01-21 Tu Hong , Kun Chen , Xiao Yan Xu

Partition function zeros steer the critical behavior of a system. Studying four-flavor lattice QCD at finite temperature and density with the Wilson-clover fermion action and the Iwasaki gauge action using a phase-quenched fermion…

High Energy Physics - Lattice · Physics 2013-11-18 Xiao-Yong Jin , Yoshinobu Kuramashi , Yoshifumi Nakamura , Shinji Takeda , Akira Ukawa

The main objective of the work presented here is to understand the appearance of phase transitions in pure gauge and scalar lattice QED. Main results are as follows: Pure gauge compact QED with PBC shows a monopole percolation phenomena…

High Energy Physics - Lattice · Physics 2009-10-28 M. Baig

We use a modified directed path algorithm to study the finite temperature chiral singularities of two color lattice QCD with staggered fermions at strong coupling. Our lattice calculations are done at a fixed finite temperature in the…

High Energy Physics - Lattice · Physics 2008-11-26 Fu-Jiun Jiang

I review the growing theoretical indications that at high densities color SU(3) gauge symmetry is spontaneously broken by the formation of a quark pair condensate. This leads to a rich phase structure for QCD as a function of temperature…

High Energy Physics - Lattice · Physics 2009-10-31 M. Alford

We present the computation of invariants that arise in the strong coupling expansion of lattice QCD. These invariants are needed for Monte Carlo simulations of Lattice QCD with staggered fermions in a dual, color singlet representation.…

High Energy Physics - Lattice · Physics 2018-04-18 Giuseppe Gagliardi , Jangho Kim , Wolfgang Unger

Models to describe electrical conduction in quantum dot (QD) constituted films often overlook the effects of geometric disorder. We address related issues by examining the influence of the QD packing fraction (PF) on the charge transport…

Mesoscale and Nanoscale Physics · Physics 2024-07-10 Kassra Eshraghi , Shreyam Natani , Prabhakar Bandaru

We study a random matrix model for QCD at finite density via complex Langevin dynamics. This model has a phase transition to a phase with nonzero baryon density. We study the convergence of the algorithm as a function of the quark mass and…

High Energy Physics - Lattice · Physics 2017-04-05 Jacques Bloch , Jonas Glesaaen , Owe Philipsen , Jacobus Verbaarschot , Savvas Zafeiropoulos

We determine the curvature of the phase transition line in the mu-T plane through an analysis of various observables, including the Polyakov loop, the quark number susceptibilities and the susceptibility of the chiral condensate. The second…

High Energy Physics - Lattice · Physics 2010-01-21 G. Endrodi , Z. Fodor , S. D. Katz , K. K. Szabo

We compare the chemical potential associated with the onset of non-zero baryon number density on $6^4$ and $8^4$ lattices at $\beta=5.1$ and ma=0.01. We provide evidence for $Z(3)$ tunnelling. We determine a critical chemical potential of…

High Energy Physics - Lattice · Physics 2009-10-28 I. M. Barbour , J. B. Kogut , S. E. Morrison

A mean field analysis of finite density QCD is presented including the effects of additional chiral invariant four-fermion interactions. A lattice regularization is used with N_f=4 flavors of staggered fermions. The use of the four-fermion…

High Energy Physics - Lattice · Physics 2016-09-01 Michael Chavel

We study the phase diagram of quantum chromodynamics (QCD). For this purpose we employ the Schwinger-Dyson equations (SDEs) technique and construct a truncation of the infinite tower of equations by demanding a matching with the lattice…

High Energy Physics - Phenomenology · Physics 2015-06-15 Enif Gutierrez , Aftab Ahmad , Alejandro Ayala , Adnan Bashir , Alfredo Raya

The phase diagram of QCD at finite temperature and density and the existence of a critical point are currently very actively researched topics. Although tremendous progress has been made, in the case of two light quark flavors even the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Bertram Klein , Jens Braun