Ardit Krasniqi, Marco Cè, Renwick J. Hudspith, Harvey B. Meyer
{"title":"Hot QCD matter around the chiral crossover: a lattice study with $O(a)$-improved Wilson fermions","authors":"Ardit Krasniqi, Marco Cè, Renwick J. Hudspith, Harvey B. Meyer","doi":"arxiv-2407.01657","DOIUrl":"https://doi.org/arxiv-2407.01657","url":null,"abstract":"Using lattice QCD simulations with $O(a)$-improved Wilson quarks and physical\u0000up, down and strange quark masses, we investigate the properties of thermal QCD\u0000matter at the temperatures $T={128,154,192}mathrm{MeV}$ with a fixed lattice\u0000spacing $a=0.064mathrm{fm}$ and volume $V=(6.1text{fm})^3$. We find that the\u0000pion quasiparticle, defined as the low-energy pole in the two-point function of\u0000the axial charge, becomes lighter as the temperature increases and give an\u0000argument based on hydrodynamics as to why the pole becomes purely diffusive\u0000above the chiral crossover. We study the thermal modification of the isovector\u0000vector spectral function using the Backus-Gilbert method, finding an\u0000enhancement at low energies and a depletion at energies around\u0000$1mathrm{GeV}$.The analogous study of the axial-vector channel reveals a\u0000larger enhancement at energies below $1mathrm{GeV}$, and we show that these\u0000findings are consistent with rigorous spectral sum rules. The difference\u0000between vector and axial-vector correlators, an order parameter for chiral\u0000symmetry, turns out to be overall suppressed by more than an order of magnitude\u0000at the crossover.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141521230","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Quantum Simulation with Gauge Fixing: from Ising Lattice Gauge Theory to Dynamical Flux Model","authors":"Junsen Wang, Xiangxiang Sun, Wei Zheng","doi":"arxiv-2407.01422","DOIUrl":"https://doi.org/arxiv-2407.01422","url":null,"abstract":"Quantum simulation of synthetic dynamic gauge field has attracted much\u0000attentions in recent years. There are two traditional ways to simulate gauge\u0000theories. One is to directly simulate the full Hamiltonian of gauge theories\u0000with local gauge symmetries. And the other is to engineer the projected\u0000Hamiltonian in one gauge subsector. In this work, we provide the third way\u0000towards the simulation of gauge theories based on emph{gauge fixing}. To\u0000demonstrate this concept, we fix the gauge of an Ising lattice gauge field\u0000coupled with spinless fermions on a ladder geometry. After the gauge fixing,\u0000this gauge theory is reduced to a simpler model, in which fermions hop on a\u0000ladder with a fluctuating dynamical $mathbb{Z}_{2}$ flux. Then we shows that\u0000this model can be realized via Floquet engineering in ultracold atomic gases.\u0000By analytical and numerical studies of this dynamical flux model, we deduce\u0000that there is confinement to deconfinement phase transition in the original\u0000unfixed gauge theory. This work paves the way to quantum simulate lattice gauge\u0000theory using the concept of gauge fixing, relevant both for condensed matter\u0000and high energy physics.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"184 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141521231","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Ising Model on $mathbb S^2$","authors":"Richard C. Brower, Evan K. Owen","doi":"arxiv-2407.00459","DOIUrl":"https://doi.org/arxiv-2407.00459","url":null,"abstract":"We define a 2-dimensional Ising model on a triangulated sphere, $mathbb S^2$, designed to approach the exact conformal field theory (CFT) in the continuum limit. Surprisingly, the derivation leads to a set of geometric constraints that the lattice field theory must satisfy. Monte Carlo simulations are in agreement with the exact Ising CFT on $mathbb S^2$. We discuss the inherent benefits of using non-uniform simplicial lattices and how these methods may be generalized for use with other quantum theories on curved manifolds.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"23 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141502145","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Yang Liu, Songtai Lv, Yuchen Meng, Zefan Tan, Erhai Zhao, Haiyuan Zou
{"title":"Exact Fisher zeros and thermofield dynamics across a quantum critical point","authors":"Yang Liu, Songtai Lv, Yuchen Meng, Zefan Tan, Erhai Zhao, Haiyuan Zou","doi":"arxiv-2406.18981","DOIUrl":"https://doi.org/arxiv-2406.18981","url":null,"abstract":"By setting the inverse temperature $beta$ loose to occupy the complex plane,\u0000Michael E. Fisher showed that the zeros of the complex partition function $Z$,\u0000if approaching the real $beta$ axis, reveal a thermodynamic phase transition.\u0000More recently, Fisher zeros have been used to mark the dynamical phase\u0000transition in quench dynamics. The success of Fisher zeros however seems\u0000limited, and it is unclear how they can be employed to shed light on quantum\u0000phase transitions or the non-unitary dynamics of open quantum systems. Here we\u0000answer this question by a comprehensive analysis of the (analytically\u0000continued) one-dimensional transverse field Ising model. We exhaust all the\u0000Fisher zeros to show that in the thermodynamic limit they congregate into a\u0000remarkably simple pattern in the form of continuous open or closed lines. These\u0000Fisher lines evolve smoothly as the coupling constant is tuned, and a\u0000qualitative change identifies the quantum critical point. By exploiting the\u0000connection between $Z$ and the thermofield double states, we obtain analytical\u0000expressions for the short- and long-time dynamics of the survival amplitude and\u0000the scaling of recurrence time at the quantum critical point. We further point\u0000out $Z$ can be realized and probed in monitored quantum circuits. The\u0000analytical results are corroborated by numerical tensor renormalization group\u0000which elevates the approach outlined here to a powerful tool for interacting\u0000quantum systems.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"237 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141521240","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Michael Fromm, Lucas Katschke, Owe Philipsen, Wolfgang Unger
{"title":"Quantum computational resources for lattice QCD in the strong-coupling limit","authors":"Michael Fromm, Lucas Katschke, Owe Philipsen, Wolfgang Unger","doi":"arxiv-2406.18721","DOIUrl":"https://doi.org/arxiv-2406.18721","url":null,"abstract":"We consider the strong coupling limit of lattice QCD with massless staggered\u0000quarks and study the resource requirements for quantum simulating the theory in\u0000its Hamiltonian formulation. The bosonic Hilbert space of the color-singlet\u0000degrees of freedom grows quickly with the number of quark flavors, making it a\u0000suitable testing ground for resource considerations across different platforms.\u0000In particular, in addition to the standard model of computation with qubits, we\u0000consider mapping the theory to qudits $(d>2)$ and qumodes, as used on\u0000trapped-ion systems and photonic devices, respectively.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"26 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141502146","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Zi Hong Liu, Matthias Vojta, Fakher F. Assaad, Lukas Janssen
{"title":"Critical properties of metallic and deconfined quantum critical points in Dirac systems","authors":"Zi Hong Liu, Matthias Vojta, Fakher F. Assaad, Lukas Janssen","doi":"arxiv-2406.17042","DOIUrl":"https://doi.org/arxiv-2406.17042","url":null,"abstract":"We use large-scale fermion quantum Monte Carlo simulations to study metallic\u0000and deconfined quantum phase transitions in a bilayer honeycomb model, focusing\u0000on their quantum critical and finite-temperature properties. At weak\u0000interaction, a fully symmetric Dirac semimetal state is realized. At\u0000intermediate and strong interaction, respectively, two long-range-ordered\u0000phases that break different symmetries are stabilized. The ordered phases\u0000feature partial and full, respectively, gap openings in the fermion spectrum.\u0000We clarify the symmetries of the different zero-temperature phases and the\u0000symmetry breaking patterns across the two quantum phase transitions between\u0000them. The first transition between the disordered and long-range-ordered\u0000semimetallic phases has previously been argued to be described by the\u0000$(2+1)$-dimensional Gross-Neveu-SO(3) field theory. By performing simulations\u0000with an improved symmetric Trotter decomposition, we further substantiate this\u0000claim by computing the critical exponents $1/nu$, $eta_phi$, and\u0000$eta_psi$, which turn out to be consistent with the field-theoretical\u0000expectation within numerical and analytical uncertainties. The second\u0000transition between the two long-range-ordered phases has previously been\u0000proposed as a possible instance of a metallic deconfined quantum critical\u0000point. We further develop this scenario by analyzing the spectral functions in\u0000the single-particle, particle-hole, and particle-particle channels. Our results\u0000indicate gapless excitations with a unique velocity, supporting the emergence\u0000of Lorentz symmetry at criticality. We also determine the finite-temperature\u0000phase boundaries above the fully gapped state at large interaction, which\u0000smoothly vanish near the putative metallic deconfined quantum critical point,\u0000consistent with a continuous or weakly first-order transition.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"71 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141502147","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Study of the mass of pseudoscalar glueball with a deep neural network","authors":"Lin Gao","doi":"arxiv-2407.12010","DOIUrl":"https://doi.org/arxiv-2407.12010","url":null,"abstract":"A deep neural network (DNN) is utilized to study the mass of the pseudoscalar\u0000glueball in lattice QCD based on Monte Carlo simulations. To obtain an accurate\u0000and stable mass value, I constructed a new network. The results show that this\u0000DNN provides a more precise and stable mass estimate compared to the\u0000traditional least squares method.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"7 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141744571","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Berezinskii--Kosterlitz--Thouless transition of the two-dimensional $XY$ model on the honeycomb lattice","authors":"Fu-Jiun Jiang","doi":"arxiv-2406.14812","DOIUrl":"https://doi.org/arxiv-2406.14812","url":null,"abstract":"The Berezinskii--Kosterlitz--Thouless (BKT) transition of the two-dimensional\u0000$XY$ model on the honeycomb lattice is investigated using both the techniques\u0000of Neural Network (NN) and Monte Carlo simulations. It is demonstrated in the\u0000literature that with certain plausible assumptions, the associated critical\u0000temperature $T_{text{BKT,H}}$ is found to be $frac{1}{sqrt{2}}$ exactly.\u0000Surprisingly, the value of $T_{text{BKT,H}}$ obtained from our NN calculations\u0000is 0.560(9) which deviates significantly from $frac{1}{sqrt{2}}$. In\u0000addition, based on the helicity modulus, the $T_{text{BKT,H}}$ determined is\u00000.571(8) agreeing well with that resulting from the NN estimation. The outcomes\u0000presented in this study indicate that a detailed analytic calculation is\u0000desirable to solve the found discrepancy.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"38 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141502148","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Lorenzo Barca, Francesco Knechtli, Sofie Martins, Michael Peardon, Stefan Schaefer, Juan Andrés Urrea-Niño
{"title":"Exponential Error Reduction for Glueball Calculations Using a Two-Level Algorithm in Pure Gauge Theory","authors":"Lorenzo Barca, Francesco Knechtli, Sofie Martins, Michael Peardon, Stefan Schaefer, Juan Andrés Urrea-Niño","doi":"arxiv-2406.12656","DOIUrl":"https://doi.org/arxiv-2406.12656","url":null,"abstract":"This study explores the application of a two-level algorithm to enhance the\u0000signal-to-noise ratio of glueball calculations in four-dimensional\u0000$mathrm{SU(3)}$ pure gauge theory. Our findings demonstrate that the\u0000statistical errors exhibit an exponential reduction, enabling reliable\u0000extraction of effective masses at distances where current standard methods\u0000would demand exponentially more samples. However, at shorter distances,\u0000standard methods prove more efficient due to a saturation of the variance\u0000reduction using the multi-level method. We discuss the physical distance at\u0000which the multi-level sampling is expected to outperform the standard\u0000algorithm, supported by numerical evidence across different lattice spacings\u0000and glueball channels. Additionally, we construct a variational basis\u0000comprising 35 Wilson loops up to length 12 and 5 smearing sizes each,\u0000presenting results for the first state in the spectrum for the scalar,\u0000pseudoscalar, and tensor channels.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"30 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141502149","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Using operator covariance to disentangle scaling dimensions in lattice models","authors":"Anders W. Sandvik","doi":"arxiv-2406.12681","DOIUrl":"https://doi.org/arxiv-2406.12681","url":null,"abstract":"In critical lattice models, distance ($r$) dependent correlation functions\u0000contain power laws $r^{-2Delta}$ governed by scaling dimensions $Delta$ of an\u0000underlying continuum field theory. In Monte Carlo simulations and other\u0000numerical approaches, the leading dimensions can be extracted by data fitting,\u0000which can be difficult when two or more powers contribute significantly. Here a\u0000method utilizing covariance between multiple lattice operators is developed\u0000where the $r$ dependent eigenvalues of the covariance matrix represent scaling\u0000dimensions of individual field operators. The scheme is tested on symmetric\u0000operators in the two-dimensional tricritical Blume-Capel model, where the two\u0000relevant dimensions, as well as some irrelevant ones, are isolated along with\u0000their corresponding eigenvectors. The method will be broadly useful in studies\u0000of classical and quantum models at multicritical points and for targeting\u0000irrelevant operators at simple critical (or multicritical) points.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"203 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141521232","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}