{"title":"Lattice computation of the quark propagator in Landau gauge at finite temperature","authors":"P. Silva, O. Oliveira","doi":"10.22323/1.363.0047","DOIUrl":"https://doi.org/10.22323/1.363.0047","url":null,"abstract":"We report on the lattice computation of the quark propagator at finite temperature in the Landau gauge, using quenched gauge configurations. The propagator form factors are computed for various temperatures, above and below the gluon deconfinement temperature $T_c$, and for all the Matsubara frequencies. Our results suggest a strong connection between quark and gluon deconfinement and chiral symmetry restoration above $T_c$.","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132210677","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 path optimization for the sign problem of low dimensional QCD","authors":"Y. Mori, K. Kashiwa, A. Ohnishi","doi":"10.22323/1.363.0183","DOIUrl":"https://doi.org/10.22323/1.363.0183","url":null,"abstract":"The path optimization has been proposed to weaken the sign problem which appears in some field theories such as finite density QCD. In this method, we optimize the integration path in complex plain to enhance the average phase factor. In this study, we discuss the application of this method to low dimensional QCD as a first step of finite density QCD.","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122321766","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}
C. Bonati, Marco Cardinali, M. D’Elia, Fabrizio Mazziotti
{"title":"Topology of Trace Deformed Yang-Mills Theory","authors":"C. Bonati, Marco Cardinali, M. D’Elia, Fabrizio Mazziotti","doi":"10.22323/1.363.0084","DOIUrl":"https://doi.org/10.22323/1.363.0084","url":null,"abstract":"In this paper we study, by means of numerical simulations, the topological properties of $SU(3)$ and $SU(4)$ trace deformed Yang-Mills theory defined on $ mathbb{R}^3times S^1$, in which center symmetry is recovered even at small compactification radii. In particular, we compute the topological suscpetibility $chi$ and the coefficient $b_2$ (related to the fourth cumulant of the topological charge distribution). We find that these observables computed in the deformed theory when center symmetry is recovered are compatible with their values at zero temperature both for 3 and 4 colours","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115508620","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}
T. Kaneko, Y. Aokic, G. Bailas, B. Colquhoun, H. Fukaya, S. Hashimoto, J. Koponen
{"title":"$B to D^{(*)}ellnu$ form factors from lattice QCD with relativistic heavy quarks","authors":"T. Kaneko, Y. Aokic, G. Bailas, B. Colquhoun, H. Fukaya, S. Hashimoto, J. Koponen","doi":"10.22323/1.363.0139","DOIUrl":"https://doi.org/10.22323/1.363.0139","url":null,"abstract":"We report on our calculation of the B to D^(*) ell nu form factors in 2+1 flavor lattice QCD. The M\"obius domain-wall action is employed for light, strange, charm and bottom quarks. At lattice cutoffs 1/a sim 2.4, 3.6 and 4.5 GeV, we simulate bottom quark masses up to 0.7/a to control discretization errors. The pion mass is as low as 230 MeV. We extrapolate the form factors to the continuum limit and physical quark masses, and make a comparison with recent phenomenological analyses.","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133509238","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}
Zhen Bi, A. Grebe, G. Kanwar, P. Ledwith, D. Murphy, M. Wagman
{"title":"Lattice Analysis of SU(2) with 1 Adjoint Dirac Flavor","authors":"Zhen Bi, A. Grebe, G. Kanwar, P. Ledwith, D. Murphy, M. Wagman","doi":"10.22323/1.363.0127","DOIUrl":"https://doi.org/10.22323/1.363.0127","url":null,"abstract":"Recently $SU(2)$ Yang-Mills theory with one massless adjoint Dirac quark flavor emerges as a novel critical theory that can describe the evolution between a trivial insulator and a topological insulator in AIII class in $3+1$ dimensions. There are several classes of conjectured infrared dynamics for this theory. One possibility is that the theory undergoes spontaneous chiral symmetry breaking, with two massless Goldstone bosons (the scalar diquark and its antiparticle) in the infrared. Another scenario, which is suggested by previous lattice studies by Athenodorou et al., is that the IR sector of the theory is a strongly interacting conformal field theory as the quark mass vanishes. The most recent theoretical proposals argue for a case that in the infrared a composite fermion composed of two quarks and an antiquark becomes massless and non-interacting as the quark mass goes to zero, while other sectors are decoupled from this low-energy fermion. This work expands upon previous studies by including the composite fermion to investigate which of these three potential scenarios captures the infrared behavior of this theory.","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131423215","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}
L. Altenkort, O. Kaczmarek, Lukas Mazur, Hai-Tao Shu
{"title":"Color-electric correlation functions under gradient flow","authors":"L. Altenkort, O. Kaczmarek, Lukas Mazur, Hai-Tao Shu","doi":"10.22323/1.363.0204","DOIUrl":"https://doi.org/10.22323/1.363.0204","url":null,"abstract":"We report on the progress of our study on the color-electric correlation functions under gradient flow on the lattice. This calculation is the first step of our long-term project to estimate a series of important transport coefficients, of which the heavy quark momentum diffusion coefficient is our first attempt, as it can be extracted from a color-electric correlation function that has been calculated non-perturbatively using noise reduction technique in the quenched approximation [1]. By comparing the flowed correlation function with those obtained by other signal-improving techniques, for instance the multi-level algorithm used in [1], one can gain insight into the applicability of the gradient flow and the renormalization of the correlation functions. \u0000We start with quenched, isotropic lattices. Currently we have finished measuring the color-electric correlation functions on 4 different lattices with $beta$-values corresponding to a temperature of $Tapprox 1.5T_c$. We perform a continuum extrapolation on the flowed correlators at fixed physical flow times followed by an extrapolation of the continuum estimate back to zero flow time. The next step is to extend the study to different temperatures and to extend the study to dynamical QCD.","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132179736","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 Critical Phenomena in an $O(4)$ Fermion Chain","authors":"Hanqing Liu","doi":"10.22323/1.363.0222","DOIUrl":"https://doi.org/10.22323/1.363.0222","url":null,"abstract":"We construct a fermionic lattice model containing interacting spin-$frac{1}{2}$ fermions with an $O(4)$ symmetry. In addition the model contains a $mathbb{Z}_2$ chiral symmetry which prevents a fermion mass term. Our model is motivated by the ability to study its physics using the meron-cluster algorithm. By adding a strong repulsive Hubbard interaction $U$, we can transform it into the regular Heisenberg anti-ferromagnet. While we can study our model in any dimension, as a first project we study it in one spatial dimension. We discover that our model at $U=0$ can be described as a lattice-regularized 2-flavor Gross-Neveu model, where fermions become massive since the $mathbb{Z}_2$ chiral symmetry of the model is spontaneously broken. We show numerically that the theory remains massive when $U$ is small. At large values of $U$ the model is equivalent to the isotropic spin-half anti-ferromagnetic chain, which is massless for topological reasons. This implies that our model has a quantum phase transition from a $mathbb{Z}_2$ broken massive phase to a topologically massless phase as we increase $U$. We present results obtained from our quantum Monte Carlo method near this phase transition.","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"343 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116194643","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":"On the Lefschetz thimbles structure of the Thirring model","authors":"K. Zambello, F. Renzo","doi":"10.22323/1.363.0211","DOIUrl":"https://doi.org/10.22323/1.363.0211","url":null,"abstract":"The complexification of field variables is an elegant approach to attack the sign problem. In one approach one integrates on Lefschetz thimbles: over them, the imaginary part of the action stays constant and can be factored out of the integrals so that on each thimble the sign problem disappears. However, for systems in which more than one thimble contribute one is faced with the challenging task of collecting contributions coming from multiple thimbles. The Thirring model is a nice playground to test multi-thimble integration techniques; even in a low dimensional theory, the thimble structure can be rich. It has been shown since a few years that collecting the contribution of the dominant thimble is not enough to capture the full content of the theory. We report preliminary results on reconstructing the complete results from multiple thimble simulations.","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124647296","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":"Spectral Methods in Causal Dynamical Triangulations","authors":"Giuseppe Clemente, M. D’Elia, A. Ferraro","doi":"10.22323/1.363.0116","DOIUrl":"https://doi.org/10.22323/1.363.0116","url":null,"abstract":"We show recent results of the application of spectral analysis in the setting of the Monte Carlo approach to Quantum Gravity known as Causal Dynamical Triangulations (CDT), discussing the behavior of the lowest lying eigenvalues of the Laplace-Beltrami operator computed on spatial slices. This kind of analysis provides information about running scales of the theory and about the critical behaviour around a possible second order transition in the CDT phase diagram, discussing the implications for the continuum limit.","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"232 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123036945","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}
S. Ejiri, Shota Itagaki, R. Iwami, K. Kanaya, M. Kitazawa, Atsushi Kiyohara, Mizuki Shirogane, Y. Taniguchi, T. Umeda
{"title":"Determination of the endpoint of the first order deconfiniement phase transition in the heavy quark region of QCD","authors":"S. Ejiri, Shota Itagaki, R. Iwami, K. Kanaya, M. Kitazawa, Atsushi Kiyohara, Mizuki Shirogane, Y. Taniguchi, T. Umeda","doi":"10.22323/1.363.0071","DOIUrl":"https://doi.org/10.22323/1.363.0071","url":null,"abstract":"We study the endpoint of the first order deconfinement phase transition of 2 and 2+1 flavor QCD in the heavy quark region. We perform simulations of quenched QCD and apply the reweighting method to study the heavy quark region. The quark determinant for the reweighting is evaluated by a hopping parameter expansion. To reduce the overlap problem, we introduce an external source term of the Polyakov loop in the simulation. We study the location of critical point at which the first order phase transition changes to crossover by investigating the histogram of the Polyakov loop and applying the finite-size scaling analysis. We estimate the truncation error of the hopping parameter expansion, and discuss the lattice spacing dependence and the spatial volume dependence in the result of the critical point.","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"57 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124836310","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}