Article
Astronomy & Astrophysics
D. A. Clarke, O. Kaczmarek, F. Karsch, Anirban Lahiri, Mugdha Sarkar
Summary: Research has shown that near the chiral phase transition temperature, the Polyakov loop expectation value and the heavy quark free energy extracted from it exhibit energy-like characteristics, while the behavior of quark mass and temperature derivatives also show different features.
Article
Materials Science, Multidisciplinary
Nikita Astrakhantsev, Francesco Ferrari, Nils Niggemann, Tobias Mueller, Aishwarya Chauhan, Augustine Kshetrimayum, Pratyay Ghosh, Nicolas Regnault, Ronny Thomale, Johannes Reuther, Titus Neupert, Yasir Iqbal
Summary: We investigate the ground state of the spin-21 Heisenberg antiferromagnet on the shuriken lattice using advanced numerical techniques, and find a quantum paramagnetic ground state as well as the presence of pinwheel VBC order. The role of quantum fluctuations via the Gutzwiller projector in resolving the subtle interplay between competing orders is highlighted in our work.
Article
Multidisciplinary Sciences
Kenta Shiina, Hiroyuki Mori, Yusuke Tomita, Hwee Kuan Lee, Yutaka Okabe
Summary: The study focuses on the inverse renormalization group for image super-resolution using deep convolutional neural networks. By considering improved correlation configurations for spin models and proposing a block-cluster transformation, the study successfully reproduces original configurations and discusses temperature rescaling for connecting thermodynamics. Systems generated via super-resolution satisfy finite-size scaling.
SCIENTIFIC REPORTS
(2021)
Article
Astronomy & Astrophysics
Erik J. Gustafson, Henry Lamm, Felicity Lovelace, Damian Musk
Summary: This study constructs a primitive gate set for the digital quantum simulation of the binary tetrahedral group on two quantum architectures. The group serves as an approximation to SU(2) lattice gauge theory and requires a specific number of qubits to represent each gauge link. Experimental results show that the proposed inversion and trace gates have good fidelities, depending on the input state.
Article
Astronomy & Astrophysics
Cristobal Laporte, Nora Locht, Antonio D. Pereira, Frank Saueressig
Summary: Wetterich's equation is a powerful tool for studying the existence and universality of renormalization group fixed points with quantum scale invariance. A new approximation scheme is developed by projecting the functional renormalization group equation onto functions of the kinetic term. This projection reveals a new universality class with a unique spectrum of stability coefficients for scalars and gauge fields. The implications of these findings for asymptotically safe gravity-matter systems are discussed.
Article
Physics, Fluids & Plasmas
Mauro Rigo, Benjamin Hall, Morten Hjorth-Jensen, Alessandro Lovato, Francesco Pederiva
Summary: We propose a variational Monte Carlo method that uses an artificial neural network representation of the ground-state wave function in the occupation number formalism for solving the nuclear many-body problem. We develop a memory-efficient version of the stochastic reconfiguration algorithm to train the network by minimizing the Hamiltonian's expectation value. By benchmarking against widely used nuclear many-body methods, we demonstrate that our method outperforms coupled-cluster and produces energies in excellent agreement with numerically exact full configuration-interaction values.
Article
Physics, Multidisciplinary
Dimitrios Bachtis, Gert Aarts, Biagio Lucini
Summary: This study presents a novel approach to control properties of statistical systems by including machine learning functions in Hamiltonians. Results show that the predictive function of a neural network can induce order-disorder phase transitions in the Ising model, providing accurate estimates of critical points and critical exponents related to correlation length divergence. This method bridges the gap between machine learning and physics, opening up new possibilities for studying critical behaviors in complex systems.
PHYSICAL REVIEW RESEARCH
(2021)
Article
Astronomy & Astrophysics
S. Borsanyi, R. Kara, Z. Fodor, D. A. Godzieba, P. Parotto, D. Sexty
Summary: We performed large scale simulations to characterize the transition in quenched QCD and found it to be a first order transition. With unprecedented precision, we obtained quantitative results and showed an algorithm that can overcome supercritical slowing down.
Article
Astronomy & Astrophysics
William Detmold, Gurtej Kanwar, Henry Lamm, Michael L. Wagman, Neill C. Warrington
Summary: Path integral contour deformations have been proposed as a solution to sign and signal-to-noise problems in lattice field theories, particularly those related to phase fluctuations. By defining a family of contour deformations suitable for SU(N) lattice gauge theory, these problems associated with complex actions and observables can be significantly reduced. Experimental results show that this approach can achieve a significant reduction in variance.
Article
Physics, Multidisciplinary
Loic Fernandez, Jean-Loic Kneur
Summary: This study calculates the soft contributions to the QCD equation at high baryon chemical potential using the hard thermal loop formalism. The results obtained offer a reduction in uncertainties for extending the equation of state in the intermediate baryon chemical potential regime.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
Giovanni Antinucci, Alessandro Giuliani, Rafael L. Greenblatt
Summary: This paper discusses the multiscale construction of non-integrable 2D Ising models in cylindrical domains, including the detailed derivation of the Grassmann representation and the effective potentials. Compared to previous works, the paper introduces important simplifications in the localization procedure and the iterative bounds on the kernels of the effective potentials.
ANNALES HENRI POINCARE
(2022)
Article
Mathematics
Nicola Garofalo, Giulio Tralli
Summary: This paper uses the heat equation in a group of Heisenberg type G to provide a unified treatment of two different extension problems for time independent pseudodifferential operators. By a new approach based on partial differential equations and semigroup methods, the fundamental solutions of these nonlocal operators are explicitly computed. When s = 1, the results recapture a famous fundamental solution found by Folland and generalized by Kaplan.
ADVANCES IN MATHEMATICS
(2021)
Article
Physics, Multidisciplinary
David Krueger, Michael Potthoff
Summary: In this study, a generic model of a Chem insulator with a Hubbard interaction in arbitrary even dimension D was explored. The model remains nontrivial in the D -> infinity limit, with dynamical mean-field theory predicting a phase diagram featuring a continuum of topologically different phases. The unconventional features, such as the elusive distinction between insulating and semimetal states, are discussed, with topological phases characterized by a nonquantized Chern density as D -> infinity.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Fluids & Plasmas
Nikolay A. Shumovskyi, Thomas J. Longo, Sergey Buldyrev, Mikhail A. Anisimov
Summary: In this study, the phenomenon of phase amplification in a fluid composed of two molecular species was investigated. By introducing a probability of Glauber-interconversion dynamics, it was found that the particle conservation law is broken, resulting in phase amplification. The speed of phase amplification was characterized through scaling laws based on the probability of Glauber dynamics, system size, and distance to the critical temperature of demixing.
Article
Astronomy & Astrophysics
Claudio Bonati, Marco Cardinali, Massimo D'Elia, Matteo Giordano, Fabrizio Mazziotti
Summary: The study shows that the reconfinement phase transition in trace deformed SU(3) Yang-Mills theory is first order, similar to the standard thermal phase transition. The behavior of thermal monopoles and the localization properties of Dirac eigenmodes are investigated, indicating a strict link between them in both reconfinement and standard confinement transitions.
