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Structure and transitions of nucleon excitations via parity-expanded variational analysis 用宇称展开变分分析核子激发的结构和跃迁
arXiv: High Energy Physics - Lattice Pub Date : 2020-01-04 DOI: 10.22323/1.363.0182
F. Stokes, W. Kamleh, D. Leinweber
{"title":"Structure and transitions of nucleon excitations via parity-expanded variational analysis","authors":"F. Stokes, W. Kamleh, D. Leinweber","doi":"10.22323/1.363.0182","DOIUrl":"https://doi.org/10.22323/1.363.0182","url":null,"abstract":"The recently-introduced Parity Expanded Variational Analysis (PEVA) technique allows for the isolation of baryon eigenstates on the lattice at finite momentum free from opposite-parity contamination. We find that this technique introduces a statistically significant correction in extractions of the electromagnetic form factors of the ground state nucleon. It also allows first extractions of the elastic and transition form factors of nucleon excitations on the lattice. We present the electromagnetic elastic form factors and helicity amplitudes of two odd-parity excitations of the nucleon. These results provide valuable insight into the structure of these states, and allow for a connection to be made to quark-model states in this energy region.","PeriodicalId":8440,"journal":{"name":"arXiv: High Energy Physics - Lattice","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82931839","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}
引用次数: 2
A lattice formulation of the Atiyah-Patodi-Singer index Atiyah-Patodi-Singer指数的晶格形式
arXiv: High Energy Physics - Lattice Pub Date : 2020-01-04 DOI: 10.22323/1.363.0149
H. Fukaya, Naoki Kawai, Yoshiyuki Matsuki, M. Mori, K. Nakayama, T. Onogi, S. Yamaguchi
{"title":"A lattice formulation of the Atiyah-Patodi-Singer index","authors":"H. Fukaya, Naoki Kawai, Yoshiyuki Matsuki, M. Mori, K. Nakayama, T. Onogi, S. Yamaguchi","doi":"10.22323/1.363.0149","DOIUrl":"https://doi.org/10.22323/1.363.0149","url":null,"abstract":"Atiyah-Singer index theorem on a lattice without boundary is well understood owing to the seminal work by Hasenfratz et al. But its extension to the system with boundary (the so-called Atiyah- Patodi-Singer index theorem), which plays a crucial role in T-anomaly cancellation between bulk- and edge-modes in 3+1 dimensional topological matters, is known only in the continuum theory and no lattice realization has been made so far. In this work, we try to non-perturbatively define an alternative index from the lattice domain-wall fermion in 3+1 dimensions. We will show that this new index in the continuum limit, converges to the Atiyah-Patodi-Singer index defined on a manifold with boundary, which coincides with the surface of the domain-wall.","PeriodicalId":8440,"journal":{"name":"arXiv: High Energy Physics - Lattice","volume":"43 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87793044","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}
引用次数: 1
The twisted gradient flow running coupling in SU(3): a non-perturbative determination SU(3)中扭曲梯度流运行耦合的非微扰确定
arXiv: High Energy Physics - Lattice Pub Date : 2020-01-04 DOI: 10.22323/1.363.0217
E. I. Bribián, M. G. Pérez, A. Ramos
{"title":"The twisted gradient flow running coupling in SU(3): a non-perturbative determination","authors":"E. I. Bribián, M. G. Pérez, A. Ramos","doi":"10.22323/1.363.0217","DOIUrl":"https://doi.org/10.22323/1.363.0217","url":null,"abstract":"We report some preliminary results of our ongoing non-perturbative computation of the twisted 't Hooft running coupling in a particular set-up, using the gradient flow to define the coupling and step scaling techniques to compute it. For the computation we considered a pure gauge SU(3) theory in four dimensions, defined on the lattice on an asymmetrical torus endowed with twisted boundary conditions in a single plane, and related the energy scale of the coupling to an effective size combining the size of the torus and the rank of the gauge group. Additionally, we explore some of the effects of the freezing of the topology on the computation of the coupling.","PeriodicalId":8440,"journal":{"name":"arXiv: High Energy Physics - Lattice","volume":"29 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74881324","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}
引用次数: 5
Constructing a composite Higgs model with built-in large separation of scales 构建一个内置大尺度分离的复合希格斯模型
arXiv: High Energy Physics - Lattice Pub Date : 2019-12-27 DOI: 10.22323/1.363.0115
O. Witzel, A. Hasenfratz
{"title":"Constructing a composite Higgs model with built-in large separation of scales","authors":"O. Witzel, A. Hasenfratz","doi":"10.22323/1.363.0115","DOIUrl":"https://doi.org/10.22323/1.363.0115","url":null,"abstract":"Experimentally the existence of a light 125 GeV Higgs boson is well established but so far no other heavier resonances have been observed. Viable models to describe the Higgs boson as composite particle require hence to exhibit a large separation of scales. This occurs naturally in systems located near a conformal fixed point irrespective whether the system lies outside or inside the conformal window. We demonstrate the latter case by investigating a mass-split model with four light and six heavy flavors. By construction mass-split models exhibit a large separation of scales and feature in addition a highly constrained hadron spectrum. We present results based on the low-lying connected meson spectrum. Although the light sector is chirally broken, we show that it exhibits hyperscaling which is typical for conformal systems.","PeriodicalId":8440,"journal":{"name":"arXiv: High Energy Physics - Lattice","volume":"19 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73908559","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}
引用次数: 2
Topological terms in abelian lattice field theories 阿贝尔格场理论中的拓扑项
arXiv: High Energy Physics - Lattice Pub Date : 2019-12-25 DOI: 10.22323/1.363.0082
M. Anosova, C. Gattringer, D. Goschl, T. Sulejmanpasic, P. Torek
{"title":"Topological terms in abelian lattice field theories","authors":"M. Anosova, C. Gattringer, D. Goschl, T. Sulejmanpasic, P. Torek","doi":"10.22323/1.363.0082","DOIUrl":"https://doi.org/10.22323/1.363.0082","url":null,"abstract":"In this contribution we revisit the lattice discretization of the topological charge for abelian lattice field theories. The construction departs from an initially non-compact discretization of the gauge fields and after absorbing $2pi$ shifts of the gauge fields leads to a generalized Villain action that also includes the topological term. The topological charge in two, as well as in four dimensions can be expressed in terms of only the integer-valued Villain variables. We test various properties of the topological charge and in particular analyze the index theorem in two dimensions and discuss the Witten effect in 4-d. As an application of our formulation we present results from a simulation of the 2-d U(1) gauge Higgs model at vacuum angle $theta = pi$, where we use a suitable worldline/worldsheet representation to overcome the complex action problem at non-zero $theta$.","PeriodicalId":8440,"journal":{"name":"arXiv: High Energy Physics - Lattice","volume":"328 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76981576","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}
引用次数: 6
Conserved charge fluctuations with smaller-than-physical quark masses 小于物理夸克质量的守恒电荷波动
arXiv: High Energy Physics - Lattice Pub Date : 2019-12-23 DOI: 10.22323/1.363.0087
M. Sarkar, O. Kaczmarek, F. Karsch, Anirban Lahiri, C. Schmidt
{"title":"Conserved charge fluctuations with smaller-than-physical quark masses","authors":"M. Sarkar, O. Kaczmarek, F. Karsch, Anirban Lahiri, C. Schmidt","doi":"10.22323/1.363.0087","DOIUrl":"https://doi.org/10.22323/1.363.0087","url":null,"abstract":"We present results from calculations of conserved charge fluctuations in $(2+1)$-flavor QCD using light quark masses in the range $m_s/80 leq m_l leq m_s/27$, with the strange quark mass ($m_s$) kept fixed at its physical value. This corresponds to a Goldstone pion mass in the range $80$ MeV $leq m_pi leq 140$ MeV. The measurements have been done using HISQ fermion discretization and Symanzik improved gauge action. We discuss the quark mass dependence of up to 6th order cumulants and present first results on the separation of singular and regular contributions to these cumulants. From these results, we examine the nature of the chiral phase transition and the variation of the curvature of the crossover line as we approach the chiral limit.","PeriodicalId":8440,"journal":{"name":"arXiv: High Energy Physics - Lattice","volume":"32 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85045649","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}
引用次数: 4
Effective thermal potential between static $ Q $ and $bar Q$ in SU(3) gauge theory SU(3)规范理论中静态Q$与bar Q$之间的有效热势
arXiv: High Energy Physics - Lattice Pub Date : 2019-12-10 DOI: 10.22323/1.363.0164
D. Bala, S. Datta
{"title":"Effective thermal potential between static $ Q $ and $bar Q$ in SU(3) gauge theory","authors":"D. Bala, S. Datta","doi":"10.22323/1.363.0164","DOIUrl":"https://doi.org/10.22323/1.363.0164","url":null,"abstract":"A non-perturbative calculation of the effective thermal potential between heavy $Q$ and $bar Q$ from lattice QCD is difficult, and usually involves a Bayesian analysis. Here we present a simple method to obtain the potential from smeared Wilson loop, using the structure of the thermal Wilson loop. We present results for the $Q bar Q$ thermal potential in a gluonic plasma for temperatures $lesssim 2 T_c$. We also present preliminary results for the effective potential when the $Q$ and $bar Q$ are in octet color configuration.","PeriodicalId":8440,"journal":{"name":"arXiv: High Energy Physics - Lattice","volume":"90 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76057474","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}
引用次数: 1
The hadronic vacuum polarization of the muon fromfour-flavor lattice QCD 四味晶格QCD中介子的强子真空极化
arXiv: High Energy Physics - Lattice Pub Date : 2019-12-09 DOI: 10.22323/1.363.0070
C. Davies, C. DeTar, A. El-Khadra, E. G'amiz, S. Gottlieb, D. Hatton, A. Kronfeld, J. Laiho, G. Lepage, Yuzhi Liu, P. Mackenzie, C. McNeile, E. Neil, T. Primer, J. Simone, D. Toussaint, R. V. D. Water, A. Vaquero, Shuhei Yamamoto for the Hpqcd, Fermilab Lattice, Milc Collaborations, U. Glasgow, U. Utah, U. Illinois, Cafpe, U. Granada, U. Indiana, Fermilab, U. Syracuse, U. Cornell, U. Plymouth, U. Colorado, U. Arizona
{"title":"The hadronic vacuum polarization of the muon fromfour-flavor lattice QCD","authors":"C. Davies, C. DeTar, A. El-Khadra, E. G'amiz, S. Gottlieb, D. Hatton, A. Kronfeld, J. Laiho, G. Lepage, Yuzhi Liu, P. Mackenzie, C. McNeile, E. Neil, T. Primer, J. Simone, D. Toussaint, R. V. D. Water, A. Vaquero, Shuhei Yamamoto for the Hpqcd, Fermilab Lattice, Milc Collaborations, U. Glasgow, U. Utah, U. Illinois, Cafpe, U. Granada, U. Indiana, Fermilab, U. Syracuse, U. Cornell, U. Plymouth, U. Colorado, U. Arizona","doi":"10.22323/1.363.0070","DOIUrl":"https://doi.org/10.22323/1.363.0070","url":null,"abstract":"We present an update on the ongoing calculations by the Fermilab Lattice, HPQCD, and MILC Collaboration of the leading-order (in electromagnetism) hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon. Our project employs ensembles with four flavors of highly improved staggered fermions, physical light-quark masses, and four lattice spacings ranging from $a approx 0.06$ to 0.15 fm for most of the results thus far.","PeriodicalId":8440,"journal":{"name":"arXiv: High Energy Physics - Lattice","volume":"20 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76842418","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}
引用次数: 4
Phase transition of four-dimensional Ising model with tensor network scheme 基于张量网络方案的四维Ising模型相变
arXiv: High Energy Physics - Lattice Pub Date : 2019-11-29 DOI: 10.22323/1.363.0138
S. Akiyama, Y. Kuramashi, Takumi Yamashita, Yusuke Yoshimura
{"title":"Phase transition of four-dimensional Ising model with tensor network scheme","authors":"S. Akiyama, Y. Kuramashi, Takumi Yamashita, Yusuke Yoshimura","doi":"10.22323/1.363.0138","DOIUrl":"https://doi.org/10.22323/1.363.0138","url":null,"abstract":"We investigate the phase transition of the four-dimensional Ising model with two types of tensor network scheme, one is the higher-order tensor renormalization group and the other is the anisotropic tensor renormalization group. The results for the internal energy and magnetization obtained by the former algorithm with the impure tensor method, enlarging the lattice volume up to $1024^4$, are consistent with the weak first-order phase transition. For the later algorithm, our implementation successfully reduces the execution time thanks to the parallel computation and the results provided by ATRG seems comparable to those with HOTRG.","PeriodicalId":8440,"journal":{"name":"arXiv: High Energy Physics - Lattice","volume":"39 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90644065","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}
引用次数: 11
Evading the model sign problem in the PNJL model with repulsive vector-type interaction via path optimization 利用路径优化方法规避了具有排斥矢量型相互作用的PNJL模型中的模型符号问题
arXiv: High Energy Physics - Lattice Pub Date : 2019-11-27 DOI: 10.22323/1.363.0213
A. Ohnishi, Y. Mori, K. Kashiwa
{"title":"Evading the model sign problem in the PNJL model with repulsive vector-type interaction via path optimization","authors":"A. Ohnishi, Y. Mori, K. Kashiwa","doi":"10.22323/1.363.0213","DOIUrl":"https://doi.org/10.22323/1.363.0213","url":null,"abstract":"We discuss the sign problem in the Polyakov loop extended Nambu--Jona-Lasinio model with repulsive vector-type interaction by using the path optimization method. In this model, both of the Polyakov loop and the vector-type interaction cause the model sign problem, and several prescriptions have been utilized even in the mean field treatment. In the path optimization method, integration variables are complexified and the integration path (manifold) is optimized to evade the sign problem, or equivalently to enhance the average phase factor. Within the homogeneous field ansatz, the path is optimized by using the feedforward neural network. We find that the assumptions adopted in previous works, $mathrm{Re},A_8 simeq 0$ and $mathrm{Re},omega simeq 0$, can be justified from the Monte-Carlo configurations sampled on the optimized path. We also derive the Euler-Lagrange equation for the optimal path to satisfy. The two optimized paths, the solution of the Euler-Lagrange equation and the variationally optimized path, agree with each other in the region with large statistical weight.","PeriodicalId":8440,"journal":{"name":"arXiv: High Energy Physics - Lattice","volume":"22 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87611179","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}
引用次数: 1
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