scholarly journals Future applications of the Yang-Mills gradient flow in lattice QCD

2014 ◽  
Author(s):  
Martin Luescher
Keyword(s):  
Lattice Qcd ◽  
Gradient Flow ◽  
Yang Mills

scholarly journals Phase structure of N=1 super Yang-Mills theory from the gradient flow

2019 ◽  
Author(s):  
Camilo Lopez ◽  
Georg Bergner ◽  
Stefano Piemonte
Keyword(s):  
Phase Structure ◽  
Gradient Flow ◽  
Yang Mills ◽  
Super Yang Mills Theory

scholarly journals Linear confinement and stress-energy tensor around static quark and anti-quark pair -- Lattice simulation with Yang-Mills gradient flow --

2019 ◽  
Author(s):  
Ryosuke Yanagihara ◽  
Takumi Iritani ◽  
Masakiyo Kitazawa ◽  
Masayuki Asakawa ◽  
Tetsuo Hatsuda ◽  
...  
Keyword(s):  
Gradient Flow ◽  
Energy Tensor ◽  
Stress Energy Tensor ◽  
Lattice Simulation ◽  
Yang Mills ◽  
Stress Energy ◽  
Static Quark

scholarly journals Renormalon-free definition of the gluon condensate within the large-$\beta_0$ approximation

2019 ◽  
Vol 2019 (10) ◽  
Author(s):  
Hiroshi Suzuki ◽  
Hiromasa Takaura
Keyword(s):  
Operator Product Expansion ◽  
Density Operator ◽  
Gradient Flow ◽  
Gluon Condensate ◽  
Operator Product ◽  
Clear Definition ◽  
Lattice Data ◽  
Perturbative Calculation ◽  
Yang Mills ◽  
Definition Of

Abstract We propose a clear definition of the gluon condensate within the large-$\beta_0$ approximation as an attempt toward a systematic argument on the gluon condensate. We define the gluon condensate such that it is free from a renormalon uncertainty, consistent with the renormalization scale independence of each term of the operator product expansion (OPE), and an identical object irrespective of observables. The renormalon uncertainty of $\mathcal{O}(\Lambda^4)$, which renders the gluon condensate ambiguous, is separated from a perturbative calculation by using a recently suggested analytic formulation. The renormalon uncertainty is absorbed into the gluon condensate in the OPE, which makes the gluon condensate free from the renormalon uncertainty. As a result, we can define the OPE in a renormalon-free way. Based on this renormalon-free OPE formula, we discuss numerical extraction of the gluon condensate using the lattice data of the energy density operator defined by the Yang–Mills gradient flow.

scholarly journals 4D N = 1 SYM supercurrent on the lattice in terms of the gradient flow

2018 ◽  
Vol 175 ◽  
pp. 11014
Author(s):  
Kenji Hieda ◽  
Aya Kasai ◽  
Hiroki Makino ◽  
Hiroshi Suzuki
Keyword(s):  
Gradient Flow ◽  
Independent Manner ◽  
Yang Mills ◽  
Loop Level ◽  
Lattice Regularization ◽  
The One ◽  
Noether Current ◽  
Super Yang Mills Theory

The gradient flow [1–5] gives rise to a versatile method to construct renor-malized composite operators in a regularization-independent manner. By adopting this method, the authors of Refs. [6–9] obtained the expression of Noether currents on the lattice in the cases where the associated symmetries are broken by lattice regularization. We apply the same method to the Noether current associated with supersymmetry, i.e., the supercurrent. We consider the 4D N = 1 super Yang–Mills theory and calculate the renormalized supercurrent in the one-loop level in the Wess–Zumino gauge. We then re-express this supercurrent in terms of the flowed gauge and flowed gaugino fields [10].

scholarly journals Space-time symmetries and the Yang-Mills gradient flow

2013 ◽  
Vol 2013 (11) ◽  
Author(s):  
L. Del Debbio ◽  
A. Patella ◽  
A. Rago
Keyword(s):  
Gradient Flow ◽  
Space Time ◽  
Yang Mills
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