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Normalizing flows are generative machine learning models which can efficiently approximate probability distributions, using only given samples of a distribution. This architecture is used to interpolate the chiral condensate obtained from…

High Energy Physics - Lattice · Physics 2022-11-30 Frithjof Karsch , Anirban Lahiri , Marius Neumann , Christian Schmidt

We investigate a bias-corrected machine learning (ML) strategy for estimating traces of the inverse Dirac operator, $\text{Tr}\, M^{-n}$ ($n=1,2,3,4$), motivated by the need for higher-order cumulants of the chiral condensate near the…

High Energy Physics - Lattice · Physics 2026-02-26 Benjamin J. Choi , Hiroshi Ohno , Akio Tomiya

Recent work due to Goel et al. gave the first efficient algorithms for learning with distribution shift in the challenging PQ framework. In this setting, a learner receives labeled training examples, unlabeled test examples, and must make…

Data Structures and Algorithms · Computer Science 2026-05-19 Gautam Chandrasekaran , Georgios Gkrinias , Adam R. Klivans , Konstantinos Stavropoulos , Arsen Vasilyan

For quantifying the universal properties of the chiral phase transition in QCD through numerical calculations on a discrete space-time lattice, one needs to perform controlled extrapolations to the continuum and infinite-volume limits…

High Energy Physics - Lattice · Physics 2025-08-28 Sabarnya Mitra , Frithjof Karsch

State-of-the-art lattice QCD studies of hot and dense strongly interacting matter currently rely on extrapolation from zero or imaginary chemical potentials. The ill-posedness of numerical analytic continuation puts severe limitations on…

High Energy Physics - Lattice · Physics 2022-04-06 Szabolcs Borsanyi , Zoltan Fodor , Matteo Giordano , Sandor D. Katz , Daniel Nogradi , Attila Pasztor , Chik Him Wong

Chiral phase transition of two flavor QCD at finite quark masses is known to be crossover except near the chiral limit, but it can turn to a first order transition when adding many extra flavors. This property is used to explore the nature…

High Energy Physics - Lattice · Physics 2016-03-23 Shinji Ejiri , Ryo Iwami , Norikazu Yamada

We study the end point of the first-order deconfinement phase transition in two and 2+1 flavor QCD in the heavy quark region of the quark mass parameter space. We determine the location of critical point at which the first-order…

High Energy Physics - Lattice · Physics 2020-03-18 Shinji Ejiri , Shota Itagaki , Ryo Iwami , Kazuyuki Kanaya , Masakiyo Kitazawa , Atsushi Kiyohara , Mizuki Shirogane , Takashi Umeda

Strong coupling lattice QCD in the dual representation allows to study the full $\mu$-$T$ phase diagram, due to the mildness of the finite density sign problem. Such simulations have been performed in the chiral limit, both at finite $N_t$…

High Energy Physics - Lattice · Physics 2016-11-29 Jangho Kim , Wolfgang Unger

We summarize the application of derivatives of the QCD pressure, calculated within the framework of lattice QCD, in constructing observables that probe aspects of the QCD phase diagram at physical quark masses. We outline how the behavior…

High Energy Physics - Lattice · Physics 2026-04-02 Sipaz Sharma

We simulate four flavor noncompact lattice QED using the Hybrid Monte Carlo algorithm on $10^4$ and $16^4$ lattices. Measurements of the monopole susceptibility and the percolation order parameter indicate a transition at $\beta = {1/e^2} =…

High Energy Physics - Lattice · Physics 2009-10-22 A. Kocic , J. B. Kogut , K. C. Wang

We study the chiral phase transition with 2 + 1 quark flavors in an improved soft-wall AdS/QCD model, which can produce the light meson spectrum and many other low-energy quantities consistent with experiments in the two-flavor case. The…

High Energy Physics - Phenomenology · Physics 2018-12-12 Zhen Fang , Yue-Liang Wu , Lin Zhang

Reweighting is not a new method in lattice QCD, but a comprehensive analysis is missing in the literature. We close this gap by presenting: (i) a proof of an integral representation of the complex determinant of a complex matrix, (ii) a…

High Energy Physics - Lattice · Physics 2014-04-28 Björn Leder , Jacob Finkenrath , Francesco Knechtli

We report on new data from additional zero temperature simulations of QCD with 12 flavors. This is a continuation of previous studies using the DBW2 gauge action and naive staggered fermions. With the use of the force gradient integrator…

High Energy Physics - Lattice · Physics 2012-03-28 Xiao-Yong Jin , Robert D. Mawhinney

We perform lattice numerical simulations to study the phase transition of QCD at finite temperature to clarify the nature of the transition of massless two flavor QCD. We investigate QCD with two light and Nf heavy quarks instead of…

High Energy Physics - Lattice · Physics 2016-02-16 Norikazu Yamada , Shinji Ejiri , Ryo Iwami

QCD with three degenerate quark flavours at zero baryon density exhibits a first order thermal phase transition for small quark masses, which changes to a smooth crossover for some critical quark mass m^c_0, i.e. the chiral critical point.…

High Energy Physics - Lattice · Physics 2008-11-26 Philippe de Forcrand , Owe Philipsen

We investigate the nature of the chiral phase transition in the massless two-flavor QCD using the renormalization group improved gauge action and the Wilson quark action on $32^3\times 16$, $24^3\times 12$, and $16^3\times 8$ lattices. We…

High Energy Physics - Lattice · Physics 2017-06-28 K. -I. Ishikawa , Y. Iwasaki , Yu Nakayama , T. Yoshie

We propose an iterative proposal to estimate critical points for statistical models based on configurations by combing machine-learning tools. Firstly, phase scenarios and preliminary boundaries of phases are obtained by…

Disordered Systems and Neural Networks · Physics 2019-10-23 X. L. Zhao , L. B. Fu

Recent $N_f=2+1$ lattice data for meson-meson scattering in $p$-wave and isospin $I=1$ are analyzed using a unitarized model inspired by Chiral Perturbation Theory in the inverse-amplitude formulation for two and three flavors. Chiral…

High Energy Physics - Lattice · Physics 2017-08-30 B. Hu , R. Molina , M. Döring , M. Mai , A. Alexandru

Lattice simulations employing reweighting and Taylor expansion techniques have predicted a (\mu,T)-phase diagram according to general expectations, with an analytic quark-hadron crossover at \mu=0 turning into a first order transition at…

High Energy Physics - Phenomenology · Physics 2009-04-14 Owe Philipsen

With a substantial amount of simulations, we have explored the system across a wide range of lattice scales. We have located a lattice artifact, first order bulk transition, have studied its properties, and found that the flavor-singlet…

High Energy Physics - Lattice · Physics 2017-08-23 Xiao-Yong Jin , Robert D. Mawhinney
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