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We develop a numerical algorithm for identifying approximately conserved quantities in models perturbed away from integrability. In the long-time regime, these quantities fully determine correlation functions of local observables. Applying…

Strongly Correlated Electrons · Physics 2015-08-27 Marcin Mierzejewski , Tomaz Prosen , Peter Prelovsek

We propose a method to improve lattice operators composed of Wilson fermions which allows the removal of all corrections of $O(a)$, including those proportional to the quark mass, leaving only errors of $O(a^2)$. The method exploits the…

High Energy Physics - Lattice · Physics 2009-10-09 G. Martinelli , G. C. Rossi , C. T. Sachrajda , S. Sharpe , M. Talevi , M. Testa

Latent ODE models provide flexible descriptions of dynamic systems, but they can struggle with extrapolation and predicting complicated non-linear dynamics. The latent ODE approach implicitly relies on encoders to identify unknown system…

Machine Learning · Computer Science 2024-10-14 Matt L. Sampson , Peter Melchior

We use lattice regularization to study the flow of the flavor-triplet fermion current central charge $C^f_J$ from its free field value in the ultraviolet limit to its conformal value in the infrared limit of the parity-invariant…

High Energy Physics - Theory · Physics 2017-09-20 Nikhil Karthik , Rajamani Narayanan

As an improvement of the QCD sum rule method to study modifications of light vector mesons in nuclear matter and/or at finite temperature, we calculate the Wilson coefficients of all independent gluonic non-scalar operators up to dimension…

High Energy Physics - Phenomenology · Physics 2017-07-04 HyungJoo Kim , Philipp Gubler , Su Houng Lee

I give an introduction to the theory of preasymptotic effects based on the systematic OPE/HQET expansion in $1/m_Q$ where $m_Q$ is the heavy quark mass. The general idea is explained in two most instructive examples, with an emphasis on…

High Energy Physics - Phenomenology · Physics 2009-09-25 M. A. Shifman

Using some techniques of conformal field theories, we find a closed expression for the contribution of leading twist operators and their descendants, obtained by adding total derivatives, to the operator product expansion (OPE) of two…

High Energy Physics - Phenomenology · Physics 2020-12-09 V. M. Braun , Yao Ji , A. N. Manashov

The out-of-time-order correlator (OTOC), recently analyzed in several physical contexts, is studied for low-dimensional chaotic systems through semiclassical expansions and numerical simulations. The semiclassical expansion for the OTOC…

Quantum Physics · Physics 2019-02-12 Rodolfo A. Jalabert , Ignacio García-Mata , Diego A. Wisniacki

We develop a linear response theory by computing the asymptotic value of the order parameter from the linearized equation of continuity around the nonsynchronized reference state using the Laplace transform in time. The proposed theory is…

Adaptation and Self-Organizing Systems · Physics 2020-01-09 Yu Terada , Yoshiyuki Y Yamaguchi

In the low energy region chiral perturbation theory including virtual photons is used to derive the structure of the generating functional. The work we do is performed within the three flavor framework and reaches up to next-to-leading…

High Energy Physics - Phenomenology · Physics 2007-05-23 Anders Pinzke

We present an exploratory study of a gauge-invariant non-perturbative renormalization technique. The renormalization conditions are imposed on correlation functions of composite operators in coordinate space on the lattice. Numerical…

High Energy Physics - Lattice · Physics 2009-11-10 V. Gimenez , L. Giusti , S. Guerriero , V. Lubicz , G. Martinelli , S. Petrarca , J. Reyes , B. Taglienti , E. Trevigne

General principles of quantum field theory imply that there exists an operator product expansion (OPE) for Wightman functions in Minkowski momentum space that converges for arbitrary kinematics. This convergence is guaranteed to hold in the…

High Energy Physics - Theory · Physics 2021-03-01 Marc Gillioz , Xiaochuan Lu , Markus A. Luty , Guram Mikaberidze

We study connections between closure operators on an algebra $(A,\Om)$ and congruences on the extended power algebra defined on the same algebra. We use these connections to give an alternative description of the lattice of all subvarieties…

Rings and Algebras · Mathematics 2015-08-18 Agata Pilitowska , Anna Zamojska-Dzienio

Assessing the effects of a policy based on observational data from a different policy is a common problem across several high-stake decision-making domains, and several off-policy evaluation (OPE) techniques have been proposed. However,…

Machine Learning · Computer Science 2022-01-21 Sonali Parbhoo , Shalmali Joshi , Finale Doshi-Velez

Off-policy policy evaluation (OPE) estimates the outcome of a new policy using historical data collected from a different policy. However, existing OPE methods cannot handle cases when the new policy introduces novel actions. This issue…

Artificial Intelligence · Computer Science 2025-02-04 Hyunji Nam , Allen Nie , Ge Gao , Vasilis Syrgkanis , Emma Brunskill

We compute O(alpha_s) lattice-to-continuum perturbative matching coefficients for the Delta S=2 flavor changing four-quark operators for the Asqtad improved staggered action. In conjunction with lattice simulations with three flavors of…

High Energy Physics - Lattice · Physics 2008-11-26 Thomas Becher , Elvira Gamiz , Kirill Melnikov

Recent analyses of flavor-breaking hadronic-$\tau$-decay-based sum rules produce values of $\vert V_{us}\vert$ $\sim 3\sigma$ low compared to 3-family unitarity expectations. An unresolved systematic issue is the significant variation in…

High Energy Physics - Phenomenology · Physics 2015-06-18 P. A. Boyle , L. Del Debbio , N. Garron , R. J. Hudspith , E. Kerrane , K. Maltman , J. M. Zanotti

We extend the Operator Product Expansion (OPE) for scattering amplitudes in planar N=4 SYM to account for all possible helicities of the external states. This is done by constructing a simple map between helicity configurations and…

High Energy Physics - Theory · Physics 2015-09-02 Benjamin Basso , Joao Caetano , Lucia Cordova , Amit Sever , Pedro Vieira

In this letter we discuss the operator product expansion of scalar operators in five-dimensional field theories with an $SU(1,3)\times U(1)$ spacetime symmetry. Such theories arise by a novel conformal null reduction of six-dimensional…

High Energy Physics - Theory · Physics 2024-05-16 N. Lambert , A. Lipstein , R. Mouland

We analyze the static QCD potential V_QCD(r) in the distance region 0.1 fm < r < 1 fm using perturbative QCD and OPE as basic theoretical tools. We assemble theoretical developments up to date and perform a solid and accurate analysis. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 Y. Sumino
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