Ryan Abbott, Michael S. Albergo, Denis Boyda, Daniel C. Hackett, Gurtej Kanwar, Fernando Romero-López, Phiala E. Shanahan, Julian M. Urban
{"title":"Multiscale Normalizing Flows for Gauge Theories","authors":"Ryan Abbott, Michael S. Albergo, Denis Boyda, Daniel C. Hackett, Gurtej Kanwar, Fernando Romero-López, Phiala E. Shanahan, Julian M. Urban","doi":"arxiv-2404.10819","DOIUrl":"https://doi.org/arxiv-2404.10819","url":null,"abstract":"Scale separation is an important physical principle that has previously\u0000enabled algorithmic advances such as multigrid solvers. Previous work on\u0000normalizing flows has been able to utilize scale separation in the context of\u0000scalar field theories, but the principle has been largely unexploited in the\u0000context of gauge theories. This work gives an overview of a new method for\u0000generating gauge fields using hierarchical normalizing flow models. This method\u0000builds gauge fields from the outside in, allowing different parts of the model\u0000to focus on different scales of the problem. Numerical results are presented\u0000for $U(1)$ and $SU(3)$ gauge theories in 2, 3, and 4 spacetime dimensions.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"34 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140612315","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":"Schwinger-Dyson control variates for lattice fermions","authors":"Scott Lawrence","doi":"arxiv-2404.10707","DOIUrl":"https://doi.org/arxiv-2404.10707","url":null,"abstract":"Previous work has shown that high-quality control variates for lattice Monte\u0000Carlo methods may be constructed from lattice Schwinger-Dyson relations. This\u0000paper extends that method to theories with lattice fermions, using the Thirring\u0000model in $1+1$ spacetime dimensions as a testbed. Past construction of these\u0000control variates involved a number of fitting parameters that scaled with\u0000lattice volume. By computing the control variate in perturbation theory, the\u0000number of fitting parameters required for an order-of-magnitude improvement in\u0000the signal-to-noise ratio at weak coupling is reduced to be of order one.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"15 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140612482","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":"Boosting Determinant Quantum Monte Carlo with Submatrix Updates: Unveiling the Phase Diagram of the 3D Hubbard Model","authors":"Fanjie Sun, Xiao Yan Xu","doi":"arxiv-2404.09989","DOIUrl":"https://doi.org/arxiv-2404.09989","url":null,"abstract":"The study of strongly correlated fermionic systems, crucial for understanding\u0000condensed matter physics, has been significantly advanced by numerical\u0000computational methods. Among these, the Determinant Quantum Monte Carlo (DQMC)\u0000method stands out for its ability to provide exact numerical solutions.\u0000However, the computational complexity of DQMC, particularly in dealing with\u0000large system sizes and the notorious sign problem, limits its applicability. We\u0000introduce an innovative approach to enhance DQMC efficiency through the\u0000implementation of submatrix updates. Building upon the foundational work of\u0000conventional fast updates and delay updates, our method leverages a generalized\u0000submatrix update algorithm to address challenges in simulating strongly\u0000correlated fermionic systems with both onsite and extended interactions at both\u0000finite and zero temperatures. We demonstrate the method's superiority by\u0000comparing it with previous update methods in terms of computational complexity\u0000and efficiency. Specifically, our submatrix update method significantly reduces\u0000the computational overhead, enabling the simulation of system sizes up to 8,000\u0000sites without pushing hard. This advancement allows for a more accurate\u0000determination of the finite temperature phase diagram of the 3D Hubbard model\u0000at half-filling. Our findings not only shed light on the phase transitions\u0000within these complex systems but also pave the way for more effective\u0000simulations of strongly correlated electrons, potentially guiding experimental\u0000efforts in cold atom simulations of the 3D Hubbard model.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"17 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140575637","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":"Evaluating matrix power series with the Cayley-Hamilton theorem","authors":"Tobias Rindlisbacher","doi":"arxiv-2404.07704","DOIUrl":"https://doi.org/arxiv-2404.07704","url":null,"abstract":"The Cayley-Hamilton theorem is used to implement an iterative process for the\u0000efficient numerical computation of matrix power series and their differentials.\u0000In addition to straight-forward applications in lattice gauge theory\u0000simulations e.g. to reduce the computational cost of smearing, the method can\u0000also be used to simplify the evaluation of SU(N) one-link integrals or the\u0000computation of SU(N) matrix logarithms.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"440 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140603335","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}
Finn M. Stokes, Benjamin J. Owen, Waseem Kamleh, Derek B. Leinweber
{"title":"Odd-Parity Nucleon Electromagnetic Transitions in Lattice QCD","authors":"Finn M. Stokes, Benjamin J. Owen, Waseem Kamleh, Derek B. Leinweber","doi":"arxiv-2404.07625","DOIUrl":"https://doi.org/arxiv-2404.07625","url":null,"abstract":"The parity-expanded variational analysis (PEVA) technique enables the\u0000isolation of opposite-parity eigenstates at finite momentum. The approach has\u0000been used to perform the first lattice QCD calculations of excited-baryon form\u0000factors. In particular, these calculations show that the low-lying odd-parity\u0000nucleon excitations are described well by constituent quark models at moderate\u0000u and d quark masses approaching the strange quark mass. Herein, we extend the\u0000PEVA technique to establish a formalism for the determination of odd-parity\u0000nucleon electromagnetic transition form factors in lattice QCD. The formalism\u0000is implemented in the first calculation of the helicity amplitudes for\u0000transitions from the ground state nucleon to the first two odd-parity\u0000excitations. Through a comparison with constituent quark model calculations of\u0000these amplitudes, these new results give important insight into the structure\u0000of these excitations. This work is a critical step towards confronting\u0000experimental electroproduction amplitudes for the $N^*(1535)$ and $N^*(1650)$\u0000resonances with ab-initio lattice QCD calculations.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"69 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140575122","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":"Three-dimensional ${mathbb Z}_2$-gauge $N$-vector models","authors":"Claudio Bonati, Andrea Pelissetto, Ettore Vicari","doi":"arxiv-2404.07050","DOIUrl":"https://doi.org/arxiv-2404.07050","url":null,"abstract":"We study the phase diagram and critical behaviors of three-dimensional\u0000lattice ${mathbb Z}_2$-gauge $N$-vector models, in which an $N$-component real\u0000field is minimally coupled with a ${mathbb Z}_2$-gauge link variables. These models are invariant under global O($N$)\u0000and local ${mathbb Z}_2$ transformations. They present three phases\u0000characterized by the spontaneous breaking of the global O($N$) symmetry and by\u0000the different topological properties of the ${mathbb Z}_2$-gauge correlations. We address the nature of the three transition lines\u0000separating the three phases. The theoretical predictions are supported by\u0000numerical finite-size scaling analyses of Monte Carlo data for the $N=2$ model.\u0000In this case, continuous transitions can be observed along both transition\u0000lines where the spins order, in the regime of small and large inverse gauge\u0000coupling $K$. Even though these continuous transitions belong to the same $XY$\u0000universality class, their critical modes turn out to be different. When the\u0000gauge variables are disordered (small $K$), the relevant order-parameter field\u0000is a gauge-invariant bilinear combination of the vector field. On the other\u0000hand, when the gauge variables are ordered (large $K$), the order-parameter\u0000field is the gauge-dependent $N$-vector field, whose critical behavior can only\u0000be probed by using a stochastic gauge fixing that reduces the gauge freedom.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"19 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140602886","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":"Three-particle formalism for multiple channels: the $ηππ+ K overline K π$ system in isosymmetric QCD","authors":"Zachary T. Draper, Stephen R. Sharpe","doi":"arxiv-2403.20064","DOIUrl":"https://doi.org/arxiv-2403.20064","url":null,"abstract":"We generalize previous three-particle finite-volume formalisms to allow for\u0000multiple three-particle channels. For definiteness, we focus on the two-channel\u0000$eta pi pi$ and $K overline K pi$ system in isosymmetric QCD, considering\u0000the positive $G$ parity sector of the latter channel, and neglecting the\u0000coupling to modes with four or more particles. The formalism we obtain is thus\u0000appropriate to study the $b_1(1235)$ and $eta(1295)$ resonances. The\u0000derivation is made in the generic relativistic field theory approach using the\u0000time-ordered perturbation theory method. We study how the resulting\u0000quantization condition reduces to that for a single three-particle channel when\u0000one drops below the upper ($Koverline K pi$) threshold. We also present\u0000parametrizations of the three-particle K matrices that enter into the\u0000formalism.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"53 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140575098","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}
Luka Leskovec, Stefan Meinel, Marcus Petschlies, John Negele, Srijit Paul, Andrew Pochinsky, Gumaro Rendon
{"title":"Lattice outlook on $Btoρellbarν$ and $Bto K^star ell ell$","authors":"Luka Leskovec, Stefan Meinel, Marcus Petschlies, John Negele, Srijit Paul, Andrew Pochinsky, Gumaro Rendon","doi":"arxiv-2403.19543","DOIUrl":"https://doi.org/arxiv-2403.19543","url":null,"abstract":"Lattice Quantum Chromodynamics (QCD) has significantly contributed to our\u0000understanding of the CKM matrix through precise determinations of hadronic\u0000matrix elements. With advancements in theoretical methodologies and\u0000computational resources, investigations can now extend to processes involving\u0000QCD-unstable hadrons such as the $rho$ and $K^star(892)$. These resonances\u0000play vital roles in processes such as weak decays of $B$ mesons, opening new\u0000avenues for exploration. Finite-volume lattice QCD techniques involving complex\u0000computational methods are used to determine the transition amplitudes. Here, we\u0000present preliminary results for $Btorhoellbar{nu}$.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"28 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140323424","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":"Progress on $K_{rm L}rightarrowμ^+μ^-$ from Lattice QCD","authors":"En-Hung Chao","doi":"arxiv-2403.18885","DOIUrl":"https://doi.org/arxiv-2403.18885","url":null,"abstract":"In this contribution, we present recent progress from the RBC/UKQCD\u0000collaboration on the first calculation of the long-distance two-photon\u0000contribution to the decay amplitude of a long-lived kaon into a pair of charged\u0000muons.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"3 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140323381","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}
Erik J. Gustafson, Florian Herren, Ruth S. Van de Water, Raynette van Tonder, Michael L. Wagman
{"title":"Model-independent description of $Brightarrow D πell ν$ decays","authors":"Erik J. Gustafson, Florian Herren, Ruth S. Van de Water, Raynette van Tonder, Michael L. Wagman","doi":"arxiv-2403.17501","DOIUrl":"https://doi.org/arxiv-2403.17501","url":null,"abstract":"In this contribution we present a novel, model-independent description of\u0000semileptonic $Brightarrow D pi ell nu$ decays. In addition, we discuss\u0000recent developments in the understanding of coupled-channel $D pi$-$D\u0000eta$-$D_s K$ S-wave scattering and, for the first time, apply them to\u0000semileptonic decays. We not only obtain model-independent predictions for\u0000kinematic distributions in $Brightarrow D pi ell nu$ decays, but also rule\u0000out the hypothesis that the gap between the inclusive $Brightarrow Xellnu$\u0000branching fraction and the sum over exclusive channels is made up predominantly\u0000by $Brightarrow D^{(ast)} eta ell nu$ decays.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"11 9 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140312910","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}