Thu·Nov 24, 2022Thursday·November 24, 2022

1. 01*

   Compact QED: the photon propagator, confinement and positivity violation for the pure gauge theory

   Orlando Oliveira🇵🇹 · Lee C. Loveridge🇵🇹 · Paulo J. Silva🇵🇹

   The lattice Landau gauge photon propagator for the pure gauge theory is revisited using large lattices. For the confined case we show that it has an associated linearly growing potential, it has a mass gap, that is related to the presence of monopoles, and its spectral function violates positivity. In the deconfined phase, our simulations suggest that a free field theory is recovered in the thermodynamic limit.

   hep-latEPJ Web Conf.(2022)·1 citation
2. 02*

   Learning trivializing flows

   David Albandea🇪🇸 · Luigi Del Debbio🇬🇧 · Pilar Hernández🇪🇸 · Richard Kenway🇬🇧 · Joe Marsh Rossney🇬🇧 · Alberto Ramos🇪🇸

   The recent introduction of machine learning techniques, especially normalizing flows, for the sampling of lattice gauge theories has shed some hope on improving the sampling efficiency of the traditional HMC algorithm. Naive use of normalizing flows has been shown to lead to bad scaling with the volume. In this talk we propose using local normalizing flows at a scale given by the correlation length. Even if naively these transformations have a small acceptance, when combined with the HMC algorithm lead to algorithms with high acceptance, and also with reduced autocorrelation times compared with HMC. Several scaling tests are performed in the ${\varphi }^4$ theory in 2D.

   hep-latPoS(2023)·8 citations
3. 03*

   Isospin-breaking corrections to light-meson leptonic decays from lattice simulations at physical quark masses

   Peter Boyle🇺🇸 · Matteo Di Carlo🇬🇧 · Felix Erben🇬🇧 · Vera Gülpers🇬🇧 · Maxwell T. Hansen🇬🇧 · Tim Harris🇬🇧 · Nils Hermansson-Truedsson🇨🇭 · Raoul Hodgson🇬🇧 · Andreas Jüttner🇬🇧 · Fionn Ó hÓgáin🇬🇧 · Antonin Portelli🇬🇧 · James Richings🇬🇧 · Andrew Zhen Ning Yong🇬🇧

   The decreasing uncertainties in theoretical predictions and experimental measurements of several hadronic observables related to weak processes, which in many cases are now smaller than $\mathrm{O}(1\%)$, require theoretical calculations to include subleading corrections that were neglected so far. Precise determinations of leptonic and semi-leptonic decay rates, including QED and strong isospin-breaking effects, can play a central role in solving the current tensions in the first-row unitarity of the CKM matrix. In this work we present the first RBC/UKQCD lattice calculation of the isospin-breaking corrections to the ratio of leptonic decay rates of kaons and pions into muons and neutrinos. The calculation is performed with $N_{\mathrm{f}}=2+1$ dynamical quarks close to the physical point and domain wall fermions in the Möbius formulation are employed. Long-distance QED interactions are included according to the $\mathrm{QE}{\mathrm{D}}_{\mathrm{L}}$ prescription and the crucial role of finite-volume electromagnetic corrections in the determination of leptonic decay rates, which produce a large systematic uncertainty, is extensively discussed. Finally, we study the different sources of uncertainty on $|V_{\mathrm{us}}|/|V_{\mathrm{ud}}|$ and observe that, if finite-volume systematics can be reduced, the error from isospin-breaking corrections is potentially sub-dominant in the final precision of the ratio of the CKM matrix elements.

   hep-lathep-phJHEP(2023)·48 citations
4. 04*

   Static quark anti-quark interactions at non-zero temperature from lattice QCD

   Gaurang Parkar🇳🇴 · Dibyendu Bala🇩🇪 · Olaf Kaczmarek🇩🇪 · Rasmus Larsen🇳🇴 · Swagato Mukherjee🇺🇸 · Peter Petreczky🇺🇸 · Alexander Rothkopf🇳🇴 · Johannes Heinrich Weber🇩🇪

   We present results on the in-medium interactions of static quark anti-quark pairs using realistic 2+1 HISQ flavor lattice QCD. Focus is put on the extraction of spectral information from Wilson line correlators in Coulomb gauge using four complementary methods. Our results indicate that on HISQ lattices, the position of the dominant spectral peak associated with the real-part of the interquark potential remains unaffected by temperature. This is in contrast to prior work in quenched QCD and we present follow up comparisons to newly generated quenched ensembles.

   hep-latEPJ Web Conf.(2022)·2 citations
5. 05*

   All-mode Renormalization for Tensor Network with Stochastic Noise

   Erika Arai🇯🇵 · Hiroshi Ohki🇯🇵 · Shinji Takeda🇯🇵 · Masaaki Tomii🇺🇸

   In usual (non-stochastic) tensor network calculations, the truncated singular value decomposition (SVD) is often used for approximating a tensor, and it causes systematic errors. By introducing stochastic noise in the approximation, however, one can avoid such systematic errors at the expense of statistical errors which can be straightforwardly controlled. Therefore in principle, exact results can be obtained even at finite bond dimension up to the statistical errors. A previous study of the unbiased method implemented in tensor renormalization group (TRG) algorithm, however, showed that the statistical errors for physical quantity are not negligible, and furthermore the computational cost is linearly proportional to a system volume. In this paper, we introduce a new way of stochastic noise such that the statistical error is suppressed, and moreover, in order to reduce the computational cost we propose common noise method whose cost is proportional to the logarithm of volume. We find that the method provides better accuracy for the free energy compared with the truncated SVD when applying to TRG for Ising model on square lattice. Although the common noise method introduces systematic error originated from a correlation of noises, we show that the error can be described by a simple functional form in terms of the number of noises, thus the error can be straightforwardly controlled in an actual analysis. We also apply the method to the graph independent local truncation algorithm and show that the accuracy is further improved.

   hep-latcond-mat.stat-mechPRD(2023)·7 citations
6. 06*

   Schwinger mechanism for gluons from lattice QCD

   A. C. Aguilar🇧🇷 · F. De Soto🇪🇸 · M. N. Ferreira🇪🇸 · J. Papavassiliou🇪🇸 · F. Pinto-Gómez🇪🇸 · C. D. Roberts🇨🇳 · J. Rodríguez-Quintero🇪🇸

   Continuum and lattice analyses have revealed the existence of a mass-scale in the gluon two-point Schwinger function. It has long been conjectured that this expresses the action of a Schwinger mechanism for gauge boson mass generation in quantum chromodynamics (QCD). For such to be true, it is necessary and sufficient that a dynamically-generated, massless, colour-carrying, scalar gluon+gluon correlation emerge as a feature of the dressed three-gluon vertex. Working with results on elementary Schwinger functions obtained via the numerical simulation of lattice-regularised QCD, we establish with an extremely high level of confidence that just such a feature appears; hence, confirm the conjectured origin of the gluon mass scale.

   ↳ hep-phhep-exhep-latnucl-ex+1PLB(2023)·37 citations
7. 07*

   Exploring the phase structure of the multi-flavor Schwinger model with quantum computing

   Lena Funcke🇺🇸 · Tobias Hartung🇬🇧 · Karl Jansen🇩🇪 · Stefan Kühn🇩🇪 · Marc-Oliver Pleinert🇩🇪 · Stephan Schuster🇩🇪 · Joachim von Zanthier🇩🇪

   We propose a variational quantum eigensolver suitable for exploring the phase structure of the multi-flavor Schwinger model in the presence of a chemical potential. The parametric ansatz circuit we design is capable of incorporating the symmetries of the model, present in certain parameter regimes, which allows for reducing the number of variational parameters substantially. Moreover, the ansatz circuit can be implementated on both measurement-based and circuit-based quantum hardware. We numerically demonstrate that our ansatz circuit is able to capture the phase structure of the model and allows for faithfully approximating the ground state. Our results show that our approach is suitable for current intermediate-scale quantum hardware and can be readily implemented on existing quantum devices.

   ↳ quant-phhep-latPoS(2023)·12 citations
8. 08*

   Round table on Standard Model Anomalies

   Ashutosh Kotwal🇺🇸 · Joaquim Matias🇪🇸 · Andrea Mauri🇬🇧 · Tom Tong🇩🇪 · Lukas Varnhorst🇩🇪

   This contribution to the XVth Quark Confinement and the Hadron Spectrum conference covers a description, both theoretical and experimental, of the present status of a set of very different anomalies. The discussion ranges from the long standing $b\to sll$ anomalies, $(g-2)$ and the new $M_W$ anomaly.

   ↳ hep-phhep-exhep-lat1 citation
9. 09*

   Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities

   Lucca Fazza🇬🇧 · Tin Sulejmanpasic🇬🇧

   We construct Villain Hamiltonians for compact scalars and abelian gauge theories. The Villain integers are promoted to integral spectrum operators, whose canonical conjugates are naturally compact scalars. Further, depending on the theory, these conjugate operators can be interpreted as (higher-form) gauge fields. If a gauge symmetry is imposed on these dual gauge fields, a natural constraint on the Villain operator leads to the absence of defects (e.g. vortices, monopoles,...). These lattice models therefore have the same symmetry and anomaly structure as their corresponding continuum models. Moreover they can be formulated in a way that makes the well-know dualities look manifest, e.g. a compact scalar in 2d has a T-duality, in 3d is dual to a U(1) gauge theory, etc. We further discuss the gauged version of compact scalars on the lattice, its anomalies and solution, as well as a particular limit of the gauged XY model at strong coupling which reduces to the transverse-field Ising model. The construction for higher-form gauge theories is similar. We apply these ideas to the constructions of some models which are of interest to fracton physics, in particular the XY-plaquette model and the tensor gauge field model. The XY-plaquette model in 2+1d coupled to a tensor gauge fields at strong gauge coupling is also exactly described by a transverse field quantum $J_1-J_2$ Ising model with $J_1=2J_2$, and discuss the phase structure of such models.

   ↳ hep-thcond-mat.str-elhep-latJHEP(2023)·34 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.