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Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)最新文献

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Case studies of near-conformal beta-functions 近保角β函数的案例研究
Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019) Pub Date : 2020-01-04 DOI: 10.22323/1.363.0121
Z. Fodor, K. Holland, J. Kuti, D. Nógrádi, C. Wong
{"title":"Case studies of near-conformal beta-functions","authors":"Z. Fodor, K. Holland, J. Kuti, D. Nógrádi, C. Wong","doi":"10.22323/1.363.0121","DOIUrl":"https://doi.org/10.22323/1.363.0121","url":null,"abstract":"We present updated results for the non-perturbative $beta$-function of SU(3) gauge theories with $N_f = 12$ or 10 massless flavors in the fundamental rep or $N_f = 2$ in the sextet rep, measured with staggered fermions. New data at finer lattice spacing and our previously introduced method, the infinitesimal $beta$-function, strengthen the case that the $N_f = 12$ model has no infrared fixed point up to $g^2 = 7.2$. We show how underestimated cutoff dependence in one domain wall study for $N_f = 10$ has been corrected, which is now consistent with staggered results showing a monotonically increasing $beta$-function. A consistent theme is that too small volumes can lead to apparent fixed points which vanish towards the continuum limit. We also apply the infinitesimal $beta$-function method to the $N_f = 10$ model, finding consistent behavior with the finite-step $beta$-function. Ongoing simulations and analysis for the sextet model confirm our previous results from weak to strong coupling with a non-zero $beta$-function throughout, in quantitative difference to Wilson fermion simulations~cite{Hasenfratz:2015ssa}.","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122445470","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
Calculation of the $K_L - K_S$ mass difference for physical quark masses 物理夸克质量的K_L - K_S质量差的计算
Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019) Pub Date : 2020-01-04 DOI: 10.22323/1.363.0093
Bigeng Wang
{"title":"Calculation of the $K_L - K_S$ mass difference for physical quark masses","authors":"Bigeng Wang","doi":"10.22323/1.363.0093","DOIUrl":"https://doi.org/10.22323/1.363.0093","url":null,"abstract":"In this article, I will present the status of our calculation of the difference between the masses of the long- and short-lived neutral K mesons, $Delta m_K$ predicted by the Standard Model. This calculation is performed on an ensemble of 152, $64^3 times 128$ gauge configurations with an inverse lattice spacing of 2.36 GeV and physical quark masses. The results from different methods of analysis and our progress toward obtaining a final result will be discussed.","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129713494","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
Distance between configurations in MCMC simulations and the geometrical optimization of the tempering algorithms MCMC模拟中构型间距离及回火算法的几何优化
Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019) Pub Date : 2020-01-04 DOI: 10.22323/1.363.0168
M. Fukuma, N. Matsumoto, N. Umeda
{"title":"Distance between configurations in MCMC simulations and the geometrical optimization of the tempering algorithms","authors":"M. Fukuma, N. Matsumoto, N. Umeda","doi":"10.22323/1.363.0168","DOIUrl":"https://doi.org/10.22323/1.363.0168","url":null,"abstract":"For a given Markov chain Monte Carlo (MCMC) algorithm, we define the distance between configurations that quantifies the difficulty of transitions. This distance enables us to investigate MCMC algorithms in a geometrical way, and we investigate the geometry of the simulated tempering algorithm implemented for an extremely multimodal system with highly degenerate vacua. We show that the large scale geometry of the extended configuration space is given by an asymptotically anti-de Sitter metric, and argue in a simple, geometrical way that the tempering parameter should be best placed exponentially to acquire high acceptance rates for transitions in the extra dimension. We also discuss the geometrical optimization of the tempered Lefschetz thimble method, which is an algorithm towards solving the numerical sign problem.","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122315013","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: 3
Towards higher order numerical stochastic perturbation computation applied to the twisted Eguchi-Kawai model 高阶数值随机摄动计算在扭曲Eguchi-Kawai模型中的应用
Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019) Pub Date : 2020-01-03 DOI: 10.22323/1.363.0030
A. Gonz'alez-Arroyo, I. Kanamori, K. Ishikawa, Kanata Miyahana, M. Okawa, Ryoichi Ueno
{"title":"Towards higher order numerical stochastic perturbation computation applied to the twisted Eguchi-Kawai model","authors":"A. Gonz'alez-Arroyo, I. Kanamori, K. Ishikawa, Kanata Miyahana, M. Okawa, Ryoichi Ueno","doi":"10.22323/1.363.0030","DOIUrl":"https://doi.org/10.22323/1.363.0030","url":null,"abstract":"We have evaluated perturbation coefficients of Wilson loops up to $O(g^8)$ for the four-dimensional twisted Eguchi-Kawai model using the numerical stochastic perturbation theory (NSPT) in arXiv:1902.09847. In this talk we present a progress report on the higher order calculation up to $O(g^{63})$, for which we apply a fast Fourier transformation (FFT) based convolution algorithm to the multiplication of polynomial matrices in the NSPT aiming for higher order calculation. We compare two implementations with the CPU-only version and the GPU version of the FFT based convolution algorithm, and find a factor 9 improvement on the computational speed of the NSPT algorithm with SU($N=225$) at $O(g^{31})$. The perturbation order dependence of the computational time, we investigate it up to $O(g^{63})$, shows a mild scaling behavior on the truncation order.","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130738040","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: 0
TKNN formula for general lattice Hamiltonian in odd dimensions 奇维一般格哈密顿的TKNN公式
Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019) Pub Date : 2020-01-03 DOI: 10.22323/1.363.0052
H. Fukaya, T. Onogi, S. Yamaguchi, Xi Wu
{"title":"TKNN formula for general lattice Hamiltonian in odd dimensions","authors":"H. Fukaya, T. Onogi, S. Yamaguchi, Xi Wu","doi":"10.22323/1.363.0052","DOIUrl":"https://doi.org/10.22323/1.363.0052","url":null,"abstract":"Topological insulators in odd dimensions are characterized by topological numbers. We prove the well-known relation between the topological number given by the Chern character of the Berry curvature and the Chern-Simons level of the low energy effective action for a general class of Hamiltonians bilinear in the fermion with general U(1) gauge interactions including non-minimal couplings by an explicit calculation. A series of Ward-Takahashi identities are crucial to relate the Chern-Simons level to a winding number, which could then be directly reduced to Chern character of Berry curvature by carrying out the integral over the temporal momenta.","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128498837","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: 0
A physicist-friendly reformulation of the Atiyah-Patodi-Singer index and its mathematical justification 对物理学家友好的Atiyah-Patodi-Singer指数的重新表述及其数学证明
Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019) Pub Date : 2020-01-03 DOI: 10.22323/1.363.0061
H. Fukaya, M. Furuta, Shinichiroh Matsuo, T. Onogi, S. Yamaguchi, Mayuko Yamashita
{"title":"A physicist-friendly reformulation of the Atiyah-Patodi-Singer index and its mathematical justification","authors":"H. Fukaya, M. Furuta, Shinichiroh Matsuo, T. Onogi, S. Yamaguchi, Mayuko Yamashita","doi":"10.22323/1.363.0061","DOIUrl":"https://doi.org/10.22323/1.363.0061","url":null,"abstract":"The Atiyah-Patodi-Singer index theorem describes the bulk-edge correspondence of symmetry protected topological insulators. The mathematical setup for this theorem is, however, not directly related to the physical fermion system, as it imposes on the fermion fields a non-local and unnatural boundary condition known as the \"APS boundary condition\" by hand. In 2017, we showed that the same integer as the APS index can be obtained from the $eta$ invariant of the domain-wall Dirac operator. Recently we gave a mathematical proof that the equivalence is not a coincidence but generally true. In this contribution to the proceedings of LATTICE 2019, we try to explain the whole story in a physicist-friendly way.","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128958533","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
The meson spectrum of large N gauge theories 大N规范理论的介子谱
Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019) Pub Date : 2020-01-01 DOI: 10.22323/1.363.0113
M. G. P'erez, A. Gonz'alez-Arroyo, M. Okawa
{"title":"The meson spectrum of large N gauge theories","authors":"M. G. P'erez, A. Gonz'alez-Arroyo, M. Okawa","doi":"10.22323/1.363.0113","DOIUrl":"https://doi.org/10.22323/1.363.0113","url":null,"abstract":"We present our preliminary results on the determination of the low lying meson spectrum for pure gauge theory in the large $N$ limit. Some results are also shown for the theory with two flavours of quarks in the adjoint representation.","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"146-147 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132988094","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
B-meson semileptonic form factors on (2+1+1)-flavor HISQ ensembles (2+1+1)味HISQ系统的b介子半光子形状因子
Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019) Pub Date : 2019-12-31 DOI: 10.22323/1.363.0236
Z. Gelzer, C. DeTar, A. El-Khadra, E. G'amiz, S. Gottlieb, A. Kronfeld, Yuzhi Liu, Y. Meurice, J. Simone, D. Toussaint, R. V. D. Water
{"title":"B-meson semileptonic form factors on (2+1+1)-flavor HISQ ensembles","authors":"Z. Gelzer, C. DeTar, A. El-Khadra, E. G'amiz, S. Gottlieb, A. Kronfeld, Yuzhi Liu, Y. Meurice, J. Simone, D. Toussaint, R. V. D. Water","doi":"10.22323/1.363.0236","DOIUrl":"https://doi.org/10.22323/1.363.0236","url":null,"abstract":"We report updates to an ongoing lattice-QCD calculation of the form factors for the semileptonic decays $B to pi ell nu$, $B_s to K ell nu$, $B to pi ell^+ ell^-$, and $B to K ell^+ ell^-$. The tree-level decays $B_{(s)} to pi (K) ell nu$ enable precise determinations of the CKM matrix element $|V_{ub}|$, while the flavor-changing neutral-current interactions $B to pi (K) ell^+ ell^-$ are sensitive to contributions from new physics. This work uses MILC's (2+1+1)-flavor HISQ ensembles at approximate lattice spacings between $0.057$ and $0.15$ fm, with physical sea-quark masses on four out of the seven ensembles. The valence sector is comprised of a clover $b$ quark (in the Fermilab interpretation) and HISQ light and $s$ quarks. We present preliminary results for the form factors $f_0$, $f_+$, and $f_T$, including studies of systematic errors.","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131841762","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
Gradient flow equation in SQCD SQCD中的梯度流动方程
Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019) Pub Date : 2019-12-31 DOI: 10.22323/1.363.0199
D. Kadoh, N. Ukita
{"title":"Gradient flow equation in SQCD","authors":"D. Kadoh, N. Ukita","doi":"10.22323/1.363.0199","DOIUrl":"https://doi.org/10.22323/1.363.0199","url":null,"abstract":"We propose a supersymmetric gradient flow in ${cal N}=1$ SQCD in four dimensions. The flow equation is derived in the superfield formalism and is also given for component fields of the Wess-Zumino gauge in a gauge covariant manner. We find that the flow for the component fields is supersymmetric in a sense that the flow time derivative and any supersymmetry transformation commute with each other up to a gauge transformation.","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"602 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123042249","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: 3
News from bottomonium spectral functions in thermal QCD 热QCD中的底onium谱函数
Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019) Pub Date : 2019-12-30 DOI: 10.22323/1.363.0076
Sam Offler, G. Aarts, C. Allton, J. Glesaaen, B. Jager, Seyong Kim, M. Lombardo, S. Ryan, J. Skullerud
{"title":"News from bottomonium spectral functions in thermal QCD","authors":"Sam Offler, G. Aarts, C. Allton, J. Glesaaen, B. Jager, Seyong Kim, M. Lombardo, S. Ryan, J. Skullerud","doi":"10.22323/1.363.0076","DOIUrl":"https://doi.org/10.22323/1.363.0076","url":null,"abstract":"New results on bottomonium at nonzero temperature are presented, using the FASTSUM Generation 2L ensembles. Preliminary results for spectral function reconstruction using Kernel Ridge Regression, a machine learning technique, are shown as well and compared to results from the Maximum Entropy Method.","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"33 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131923678","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: 10
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