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Related papers: Energy-momentum tensor on the lattice: non-perturb…

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We present a strategy for a non-perturbative determination of the finite renormalization constants of the energy-momentum tensor in the SU(3) Yang-Mills theory. The computation is performed by imposing on the lattice suitable Ward Identites…

High Energy Physics - Lattice · Physics 2014-10-31 Leonardo Giusti , Michele Pepe

We present the calculation of the non-perturbative renormalization constants of the energy-momentum tensor in the SU(3) Yang-Mills theory. That computation is carried out in the framework of shifted boundary conditions, where a thermal…

High Energy Physics - Phenomenology · Physics 2015-10-16 Michele Pepe , Leonardo Giusti

We employ a new strategy for a non perturbative determination of the renormalized energy momentum tensor. The strategy is based on the definition of suitable lattice Ward identities probed by observables computed along the gradient flow.…

High Energy Physics - Lattice · Physics 2015-12-15 Francesco Capponi , Luigi Del Debbio , Agostino Patella , Antonio Rago

The comparison of structural analogies between the energy-momentum tensors in general relativity and in a gauge theory of Yang-Mills type is tentatively extended to lattice physics. These considerations are guiding to a new lattice model…

High Energy Physics - Lattice · Physics 2007-05-23 Joachim Holk

We present a strategy to define non-perturbatively the energy-momentum tensor in Quantum Chromodynamics (QCD) which satisfies the appropriate Ward identities and has the right trace anomaly. The tensor is defined by regularizing the theory…

High Energy Physics - Lattice · Physics 2020-03-23 Mattia Dalla Brida , Leonardo Giusti , Michele Pepe

In a recent paper, arXiv:1209.2473 \cite{Suzuki:2012gi}, we presented a possible definition of the energy-momentum tensor in the lattice formulation of the four-dimensional $\mathcal{N}=1$ supersymmetric Yang--Mills theory, that is…

High Energy Physics - Lattice · Physics 2015-06-11 Hiroshi Suzuki

The product of gauge fields generated by the Yang-Mills gradient flow for positive flow times does not exhibit the coincidence-point singularity and a local product is thus independent of the regularization. Such a local product can…

High Energy Physics - Lattice · Physics 2016-06-21 Hiroshi Suzuki

A nonperturbative determination of the energy-momentum tensor is essential for understanding the physics of strongly coupled systems. The ability of the Wilson flow to eliminate divergent contact terms makes it a practical method for…

The non-perturbative computation of the energy-momentum tensor can be used to study the scaling behaviour of strongly coupled quantum field theories. The Wilson flow is an essential tool to find a meaningful formulation of the…

High Energy Physics - Lattice · Physics 2016-12-23 Francesco Capponi , Luigi Del Debbio , Susanne Ehret , Roberto Pellegrini , Antonin Portelli , Antonio Rago

Local products of fields deformed by the so-called Yang--Mills gradient flow become renormalized composite operators. This fact has been utilized to construct a correctly normalized conserved energy--momentum tensor in the lattice…

High Energy Physics - Lattice · Physics 2016-06-21 Hiroki Makino , Hiroshi Suzuki

The long-term goal of this project is the non-perturbative renormalization of the energy-momentum tensor in the 2d $O(3)$ non-linear sigma model using different methods which have been developed for QCD applications. As a first step, we…

High Energy Physics - Lattice · Physics 2025-02-10 Mika Lauk , Agostino Patella

We construct the energy-momentum tensor of the O(N) linear sigma model explicitly in the large N limit using the exact renormalization group (ERG) formalism. The energy-momentum tensor is obtained as a cutoff dependent functional of N…

High Energy Physics - Theory · Physics 2026-01-26 Carlo Pagani , Hidenori Sonoda

Given an arbitrary Wilson action of a real scalar field, we discuss how to construct the energy-momentum tensor of the theory. Using the exact renormalization group, we can determine the energy-momentum tensor implicitly, but we are short…

High Energy Physics - Theory · Physics 2015-09-30 H. Sonoda

A non-perturbative renormalisation prescription for the energy-momentum tensor, based on space-time symmetries along the Wilson flow, has been proposed recently in the context of 4-dimensional gauge theories. We extend this construction to…

High Energy Physics - Lattice · Physics 2015-12-10 Francesco Capponi , Luigi Del Debbio , Susanne Ehret , Roberto Pellegrini , Antonio Rago

Following Brown[1], we construct composite operators for the scalar $\phi^3$ theory in six dimensions using renormalisation group methods with dimensional regularisation. We express bare scalar operators in terms of renormalised composite…

High Energy Physics - Theory · Physics 2021-09-08 Pavan Dharanipragada , Bala Sathiapalan

In a recent paper [arXiv:1403.4772], we gave a prescription how to construct a correctly-normalized conserved energy--momentum tensor in lattice gauge theory containing fermions, on the basis of the Yang--Mills gradient flow. In the present…

High Energy Physics - Lattice · Physics 2014-05-21 Hiroki Makino , Hiroshi Suzuki

We present a new theoretical and practical strategy to renormalize non-perturbatively the energy-momentum tensor in lattice QCD based on the framework of shifted boundary conditions. As a preparatory step for the fully non-perturbative…

High Energy Physics - Lattice · Physics 2019-12-02 Mattia Dalla Brida , Leonardo Giusti , Michele Pepe

The renormalization functions involved in the determination of the topological susceptibility in the SU(2) lattice gauge theory are extracted by direct measurements, without relying on perturbation theory. The determination exploits the…

High Energy Physics - Lattice · Physics 2009-10-22 Bartomeu Alles , Massimo Campostrini , Adriano Di Giacomo , Yigit Gunduc , Ettore Vicari

In order to extract transport quantities from energy-momentum-tensor (EMT) correlators in Lattice QCD there is a strong need for a non-perturbative renormalization of these operators. This is due to the fact that the lattice regularization…

High Energy Physics - Lattice · Physics 2013-10-24 Daniel Robaina , Harvey B. Meyer

For local conformal field theories, it is shown how to construct an expression for the energy-momentum tensor in terms of a Wilsonian effective Lagrangian. Tracelessness implies a single, unintegrated equation which enforces both the Exact…

High Energy Physics - Theory · Physics 2018-04-24 Oliver J. Rosten
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