Tue·Oct 11, 2022Tuesday·October 11, 2022

1. 01*

   Improved coarse-graining methods on two dimensional tensor networks including fermions

   Muhammad Asaduzzaman🇺🇸 · Simon Catterall🇺🇸 · Yannick Meurice🇺🇸 · Ryo Sakai🇺🇸 · Goksu Can Toga🇺🇸

   We show how to apply renormalization group algorithms incorporating entanglement filtering methods and a loop optimization to a tensor network which includes Grassmann variables which represent fermions in an underlying lattice field theory. As a numerical test a variety of quantities are calculated for two dimensional Wilson--Majorana fermions and for the two flavor Gross--Neveu model. The improved algorithms show much better accuracy for quantities such as the free energy and the determination of Fisher's zeros.

   hep-latJHEP(2023)·9 citations
2. 02*

   DMRG study of the higher-charge Schwinger model and its 't Hooft anomaly

   Masazumi Honda🇯🇵 · Etsuko Itou🇯🇵 · Yuya Tanizaki🇯🇵

   The charge-$q$ Schwinger model is the $(1+1)$-dimensional quantum electrodynamics (QED) with a charge-$q$ Dirac fermion. It has the ${\mathbb{Z}}_q$ $1$-form symmetry and also enjoys the ${\mathbb{Z}}_q$ chiral symmetry in the chiral limit, and there is a mixed 't Hooft anomaly between those symmetries. We numerically study the charge-$q$ Schwinger model in the lattice Hamiltonian formulation using the density-matrix renormalization group (DMRG). When applying DMRG, we map the Schwinger model to a spin chain with nonlocal interaction via Jordan-Wigner transformation, and we take the open boundary condition instead of the periodic one to make the Hilbert space finite-dimensional. When computing the energy density or chiral condensate, we find that using local operators significantly reduces the boundary effect compared with the computation of corresponding extensive quantities divided by the volume. To discuss the consequence of the 't Hooft anomaly, we carefully treat the renormalization of the chiral condensates, and then we confirm that Wilson loops generate the discrete chiral transformations in the continuum limit.

   hep-latcond-mat.str-elhep-thJHEP(2022)·21 citations
3. 03*

   Spectroscopy in the 2+1$d$ Thirring Model with $N=1$ Domain Wall Fermions

   Simon Hands🇬🇧 · Johann Ostmeyer🇬🇧

   We employ the domain wall fermion (DWF) formulation of the Thirring model on a lattice in 2+1+1 dimensions and perform $N=1$ flavor Monte Carlo simulations. At a critical interaction strength the model features a spontaneous $\mathrm{U}(2)\to \mathrm{U}(1)\otimes \mathrm{U}(1)$ symmetry breaking; we analyse the induced spin-0 mesons, both Goldstone and non-Goldstone, as well as the correlator of the fermion quasiparticles, in both resulting phases. Crucially, we determine the anomalous dimension ${\eta }_{\psi }\approx 3$ at the critical point, in stark contrast with the Gross-Neveu model in 3$d$ and with results obtained with staggered fermions. Our numerical simulations are complemented by an analytical treatment of the free fermion correlator, which exhibits large early-time artifacts due to branch cuts in the propagator stemming from unbound interactions of the fermion with its heavy doublers. These artifacts are generalisable beyond the Thirring model, being an intrinsic property of DWF, or more generally Ginsparg-Wilson fermions.

   hep-latcond-mat.str-elhep-thPRD(2023)·4 citations
4. 04*

   Intermediate-Distance String Effects in Wilson Loops\\ via Boundary Action

   M. N. Khalil🇪🇬 · A. M. Khalaf🇪🇬 · A. S. Bakry🇨🇳 · M. Deliyergiyev🇨🇭 · A. A. Galal🇪🇬 · M. Kotb🇪🇬 · M. D. Okasha🇪🇬 · G. S. M. Ahmed🇪🇬

   The density profile of the QCD flux tube is investigated within the framework of the Lüscher-Weisz (LW) string action with two boundary terms. The transverse action profile and potential between static quarks are considered using Wilson's loop overlap formalism at zero temperature in SU(2) Yang-Mills theory. We find the predictions of the LW string matching the lattice data for the width of the energy-density and $Q\bar{Q}$ potential up to a small color-source separation of $R=0.32$\,fm.

   ↳ hep-thhep-lathep-phnucl-thLHEP(2023)·1 citation
5. 05*

   Precision test of gauge/gravity duality in D0-brane matrix model at low temperature

   Stratos Pateloudis🇩🇪 · Georg Bergner🇩🇪 · Masanori Hanada🇬🇧 · Enrico Rinaldi🇺🇸 · Andreas Schäfer🇩🇪 · Pavlos Vranas🇺🇸 · Hiromasa Watanabe🇯🇵 · Norbert Bodendorfer🇩🇪

   We test the gauge/gravity duality between the matrix model and type IIA string theory at low temperatures with unprecedented accuracy. To this end, we perform lattice Monte Carlo simulations of the Berenstein-Maldacena-Nastase (BMN) matrix model, which is the one-parameter deformation of the Banks-Fischler-Shenker-Susskind (BFSS) matrix model, taking both the large $N$ and continuum limits. We leverage the fact that sufficiently small flux parameters in the BMN matrix model have a negligible impact on the energy of the system while stabilizing the flat directions so that simulations at smaller $N$ than in the BFSS matrix model are possible. Hence, we can perform a precision measurement of the large $N$ continuum energy at the lowest temperatures to date. The energy is in perfect agreement with supergravity predictions including estimations of ${\alpha }^{\prime }$-corrections from previous simulations. At the lowest temperature where we can simulate efficiently ($T=0.25{\lambda }^{1/3}$, where $\lambda$ is the 't Hooft coupling), the difference in energy to the pure supergravity prediction is less than $10\%$. Furthermore, we can extract the coefficient of the $1/N^4$ corrections at a fixed temperature with good accuracy, which was previously unknown.

   ↳ hep-thhep-latJHEP(2023)·33 citations

* Reconstructed cohort: no mailing for this day survives in the archive. Papers are grouped by their submission times and arXiv's announcement cut-off, assuming announcement without delay; positions follow identifier order. Validated at ~91% exact-day agreement against the archived era.