Gradient flow and scale-setting papers:


[1]  arXiv:2007.01057 [pdf, other]
Title: Hadronic vacuum polarization using gradient flow
Comments: 30 pages, 1 ancillary file
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Phenomenology (hep-ph)

[6]  arXiv:2001.01524 [pdf, other]
Title: Calculation of PCAC mass with Wilson fermion using gradient flow
Comments: 7 pages, 6 figures, Talk presented at the 37th International Symposium on Lattice Field Theory (Lattice2019), 16-22 June 2019, Wuhan, China
Subjects: High Energy Physics - Lattice (hep-lat)

[13]  arXiv:1912.01766 [pdf, other]
Title: Stochastic Renormalization Group and Gradient Flow in Scalar Field Theory
Comments: Contribution to the 37th Annual International Symposium on Lattice Field Theory - LATTICE2019, 16-22 June 2019, Wuhan, China
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Theory (hep-th)

[12]  arXiv:1907.04309 [pdf, other]
Title: Scale setting for QCD with Nf=3+1 dynamical quarks
Comments: 7 pages, 4 figures
Subjects: High Energy Physics - Lattice (hep-lat)

[15]  arXiv:1905.05147 [pdf, other]
Title: The gradient flow coupling at high-energy and the scale of SU(3) Yang-Mills theory
Comments: LaTeX, 55 pages
Subjects: High Energy Physics - Lattice (hep-lat)

[3]  arXiv:1905.00882 [pdf, other]
Title: Results and techniques for higher order calculations within the gradient flow formalism
Comments: 42 pages
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Phenomenology (hep-ph)

[21]  arXiv:1903.08029 [pdf, other]
Title: The twisted gradient flow coupling at one loop
Comments: 52 pages, 12 figures
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Theory (hep-th)

[24]  arXiv:1810.05637 [pdf, ps, other]
Title: Renormalization of CP-Violating Pure Gauge Operators in Perturbative QCD Using the Gradient Flow
Comments: 7 pages, 1 figure, Proceedings from The 36th Annual International Symposium on Lattice Field Theory
Subjects: High Energy Physics - Lattice (hep-lat)

[29]  arXiv:1808.09837 [pdf, other]
Title: The two-loop energy-momentum tensor within the gradient-flow formalism
Comments: 23 pages, 2 figures, 2 ancillary files
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Phenomenology (hep-ph)

[20]  arXiv:1808.08129 [pdf, ps, other]
Title: Topological Susceptibility of the 2d O(3) Model under Gradient Flow
Comments: 24 pages, 9 figures, 2 tables
Subjects: High Energy Physics - Lattice (hep-lat); Statistical Mechanics (cond-mat.stat-mech)

[20]  arXiv:1709.06180 [pdf, other]
Title: Topology in the 2d Heisenberg Model under Gradient Flow
Comments: 10 pages, LaTex, 7 figures, 2 tables, talk presented at the XXXI Reuni\'on Anual de la Divisi\'on de Part\'iculas y Campos de la Sociedad Mexicana de F\'isica (CINVESTAV, Mexico City)
Subjects: High Energy Physics - Lattice (hep-lat); Statistical Mechanics (cond-mat.stat-mech); High Energy Physics - Phenomenology (hep-ph)

[46]  arXiv:1702.06289 [pdf, ps, other]
Title: Non-perturbative determination of the $Λ$-parameter in the pure SU(3) gauge theory from the twisted gradient flow coupling
Comments: 23 pages, 11 figures, LaTeX
Subjects: High Energy Physics - Lattice (hep-lat)

[35]  arXiv:1701.04601 [pdf, other]
Title: Effects of boundary conditions and gradient flow in 1+1 dimensional lattice $φ^4$ theory
Comments: 18 pages, 19 figures
Subjects: High Energy Physics - Lattice (hep-lat); Statistical Mechanics (cond-mat.stat-mech); High Energy Physics - Theory (hep-th)

[8]  arXiv:1701.00793 [pdf, ps, other]
Title: Simple chromatic properties of gradient flow
Authors: Thomas DeGrand
Comments: 8 pages, 3 figures
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Phenomenology (hep-ph)

[61]  arXiv:1612.07047 [pdf, other]
Title: Perturbative O($a^2$) effects in gradient flow couplings with SF and SF-open boundary conditions
Comments: 7 pages, 2 figures
Subjects: High Energy Physics - Lattice (hep-lat)

[39]  arXiv:1612.04955 [pdf, other]
Title: The gradient flow coupling from numerical stochastic perturbation theory
Comments: Talk given at the 34th annual International Symposium on Lattice Field Theory, 24-30 July 2016, University of Southampton, UK; LaTeX source, 7 pages, 2 figures
Subjects: High Energy Physics - Lattice (hep-lat)

[19]  arXiv:1612.01676 [pdf, ps, other]
Title: Numerical determination of the $Λ$-parameter in SU(3) gauge theory from the twisted gradient flow coupling
Comments: 7 pages, 6 figures, uses PoS.cls, presented at the 34th International Symposium on Lattice Field Theory (Lattice 2016), 24 - 30 July 2016, University of Southampton, UK, PoS(LATTICE2016) 185
Subjects: High Energy Physics - Lattice (hep-lat)

[16]  arXiv:1612.01584 [pdf, ps, other]
Title: Quasi parton distributions and the gradient flow
Comments: 20 pages, no figures. Typo in arXiv metadata corrected
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Phenomenology (hep-ph)

[86]  arXiv:1611.07221 [pdf, ps, other]
Title: Perturbative running of the twisted Yang-Mills coupling in the gradient flow scheme
Comments: 7 pages, no figures, contribution to the 34th International Symposium on Lattice Field Theory, 24-30 July 2016, Southampton, UK
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Theory (hep-th)

[29]  arXiv:1609.07115 [pdf, ps, other]
Title: Numerical study of tree-level improved lattice gradient flows in pure Yang-Mills theory
Comments: 14 pages, 12 figures. v2: Table 1 is updated due to typos and Eqs.(5)-(7) are corrected
Subjects: High Energy Physics - Lattice (hep-lat)

[21]  arXiv:1608.08900 [pdf, other]
Title: Setting the scale for the CLS $2 + 1$ flavor ensembles
Comments: 21 pages, 4 figures
Subjects: High Energy Physics - Lattice (hep-lat)

[17]  arXiv:1606.05546 [pdf, ps, other]
Title: Statistical tweaks and flow scale from masses
Comments: 10 pages, 6 figures, reference added
Subjects: High Energy Physics - Lattice (hep-lat)

[12]  arXiv:1606.04193 [pdf, ps, other]
Title: Small flow-time representation of fermion bi-linear operators
Comments: 15 pages, 3 figures
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Theory (hep-th)

[12]  arXiv:1604.06200 [pdf, ps, other]
Title: Proof of the renormalizability of the gradient flow
Comments: 26 pages
Subjects: High Energy Physics - Lattice (hep-lat)

[15]  arXiv:1603.05532 [pdf, other]
Title: The Wilson Flow and the finite temperature phase transition
Comments: 13 pages, 6 figures
Subjects: High Energy Physics - Lattice (hep-lat)

[30]  arXiv:1601.07155 [pdf, other]
Title: A multilevel algorithm for flow observables in gauge theories
Comments: 17 pages, 5 figures
Subjects: High Energy Physics - Lattice (hep-lat)

[7]  arXiv:1601.01578 [pdf, ps, other]
Title: The gradient flow in $λφ^{4}$ theory
Authors: Kazuo Fujikawa
Comments: 20 pages
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Theory (hep-th)

[62]  arXiv:1512.08222 [pdf, other]
Title: Numerical Stochastic Perturbation Theory and Gradient Flow in φ^4 Theory
Comments: Talk given at the 33rd International Symposium on Lattice Field Theory, 14 -18 July, 2015, Kobe, Japan; LaTeX source, 7 pages, 7 figures
Subjects: High Energy Physics - Lattice (hep-lat)

[45]  arXiv:1512.05745 [pdf, ps, other]
Title: Determining the scale in Lattice QCD
Comments: 7 pages; talk presented at Lattice 2015, the 33rd International Symposium on Lattice Field Theory 4 -18 July 2015 at Kobe International Conference Center, Kobe, Japan; PoS(LATTICE2015)264
Subjects: High Energy Physics - Lattice (hep-lat)

[35]  arXiv:1512.04892 [pdf, ps, other]
Title: Using Wilson flow to study the SU(3) deconfinement transition
Comments: 13 pages, 10 figures. Duplicate figure removed
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Phenomenology (hep-ph); Nuclear Theory (nucl-th)

[34]  arXiv:1512.04374 [pdf, other]
Title: Renormalization constants of the lattice energy momentum tensor using the gradient flow
Subjects: High Energy Physics - Lattice (hep-lat)

[26]  arXiv:1512.02851 [pdf, other]
Title: Renormalisation of the energy-momentum tensor in scalar field theory using the Wilson flow
Comments: Talk presented at the 33rd International Symposium on Lattice Field Theory (Lattice 2015) by Susanne Ehret
Subjects: High Energy Physics - Lattice (hep-lat)

[5]  arXiv:1512.00294 [pdf, other]
Title: The gradient flow in simple field theories
Comments: Proceedings of the 33rd International Symposium on Lattice Field Theory. 7 pages, 3 figures
Journal-ref: PoS(LATTICE2015) 052
Subjects: High Energy Physics - Lattice (hep-lat)

[89]  arXiv:1511.06561 [pdf, ps, other]
Title: Generalized Gradient Flow Equation and Its Applications
Comments: 7 pages, Proceedings of The 33rd International Symposium on Lattice Field Theory 14-18 July 2015 Kobe International Conference Center, Kobe, Japan
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Theory (hep-th)

[82]  arXiv:1511.06076 [pdf, ps, other]
Title: Lattice gradient flow with tree-level $\mathcal{O}(a^4)$ improvement in pure Yang-Mills theory
Comments: 7 pages, 2 figures, talk presented at Lattice 2015, PoS (LATTICE2015)
Subjects: High Energy Physics - Lattice (hep-lat)

[72]  arXiv:1511.05235 pdf, other]
Title: Thermodynamics and reference scale of SU(3) gauge theory from gradient flow on fine lattices
Comments: 7 pages, 3 figures, Proceedings of the 33rd International Symposium on Lattice Field Theory (Lattice 2015), 14-18 July 2015, Kobe, Japan
Subjects: High Energy Physics - Lattice (hep-lat)

[53]  arXiv:1511.04591 [pdf, other]
Title: Polyakov loop renormalization with gradient flow
Comments: 7 pages, 10 figures, talk presented at the 33rd International Symposium on Lattice Field Theory, Kobe International Conference Center, Kobe, Japan
Subjects: High Energy Physics - Lattice (hep-lat)

[60]  arXiv:1510.08675 [pdf, ps, other]
Title: Background field method in the gradient flow
Authors: Hiroshi Suzuki
Comments: 7 pages. Talk given at the 33rd International Symposium on Lattice Field Theory (Lattice 2015), 14-18 July 2015, Kobe International Conference Center, Kobe, Japan
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Theory (hep-th)

[54]  arXiv:1510.08208 [pdf, ps, other]
Title: The Yang-Mills gradient flow and lattice effective action
Authors: Ryo Yamamura
Comments: 16 pages, 3 figures
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Theory (hep-th)

[30]  arXiv:1510.05755 [pdf, other]
Title: The Yang-Mills gradient flow and SU(3) gauge theory with 12 massless fundamental fermions in a colour-twisted box
Comments: 21 pages, 6 figures; References added; Minor stylistic change of the text
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Phenomenology (hep-ph)

[38]  arXiv:1509.07874 [pdf, other]
Title: Renormalization of the Polyakov loop with gradient flow
Comments: 10 pages ReVTeX, 9 figures
Subjects: High Energy Physics - Lattice (hep-lat)

[21]  arXiv:1509.04259 [pdf, ps, other]
Title: Topological charge using cooling and the gradient flow
Comments: 21 pages, 10 figures
Subjects: High Energy Physics - Lattice (hep-lat)

[32]  arXiv:1508.05916 [pdf, ps, other]
Title: Wilson flow and scale setting from lattice QCD
Comments: 24 pages, 11 figures
Subjects: High Energy Physics - Lattice (hep-lat)

[29]  arXiv:1508.05552 [pdf, other]
Title: Symanzik improvement of the gradient flow in lattice gauge theories
Authors: A. Ramos, S. Sint
Comments: 37 Pages, 1 useful equation
Subjects: High Energy Physics - Lattice (hep-lat)

[26]  arXiv:1508.04986 [pdf, ps, other]
Title: Effective lattice action for the configurations smeared by the Wilson flow
Comments: 12 pages, 4 figures
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Theory (hep-th)

[8]  arXiv:1507.02360 [pdf, ps, other]
Title: Background field method in the gradient flow
Authors: Hiroshi Suzuki
Comments: 18 pages
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Theory (hep-th)

[7]  arXiv:1507.02343 [pdf, other]
Title: The nucleon electric dipole moment with the gradient flow: the $θ$-term contribution
Comments: 31 pages, 13 figures, 1 table
Subjects: High Energy Physics - Lattice (hep-lat)

[2]  arXiv:1507.00821 [pdf, ps, other]
Title: Wilson flow with naive staggered quarks
Subjects: High Energy Physics - Lattice (hep-lat)

[1]  arXiv:1506.00118 [pdf, other]
Title: The Yang-Mills gradient flow and renormalization
Authors: Alberto Ramos
Comments: 17 pages. Proceedings of the 32nd International Symposium on Lattice Field Theory
Subjects: High Energy Physics - Lattice (hep-lat)

[37]  arXiv:1503.06516 [pdf, other]
Title: Accurate Determination of Reference Scales for Wilson Gauge Action from Yang--Mills Gradient Flow
Comments: 18 pages, 9 figures
Subjects: High Energy Physics - Lattice (hep-lat)

[16]  arXiv:1503.02769 [pdf, other]
Title: Gradient flow and scale setting on MILC HISQ ensembles
Comments: 42 pages, 11 pdf figures, 10 tables, v2: Figure 11 and Table 9 updated to include additional results by other groups
Subjects: High Energy Physics - Lattice (hep-lat)

[52]  arXiv:1501.07848 [pdf, other]
Title: Improved gradient flow for step scaling function and scale setting
Authors: Anna Hasenfratz
Comments: 7 pages; Contribution to The 32nd International Symposium on Lattice Field Theory, 23-28 June, 2014, Columbia University New York, NY
Subjects: High Energy Physics - Lattice (hep-lat)

[22]  arXiv:1501.04371 [pdf, ps, other]
Title: Universal formula for the energy--momentum tensor via a flow equation in the Gross--Neveu model
Authors: Hiroshi Suzuki
Comments: 16 pages, 7 figures
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Theory (hep-th)

[77]  arXiv:1412.8218 [pdf, ps, other]
Title: Large $N$ limit of the gradient flow in the two-dimensional $O(N)$ non-linear sigma model
Comments: 15 pages, 6 figures
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Theory (hep-th)

[42]  arXiv:1412.4508 [pdf, other]
Title: Measurement of thermodynamics using gradient flow
Comments: 15 pages, 9 figures. Plenary talk at 32nd International Symposium on Lattice Field Theory, Lattice2014, June 23 - 28, 2014, New York, USA
Subjects: High Energy Physics - Lattice (hep-lat)

[13]  arXiv:1412.0941 [pdf, other]
Title: The $SU(\infty)$ twisted gradient flow running coupling
Comments: 22 pages, 7 figures
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Theory (hep-th)

[108]  arXiv:1411.6706 [pdf, other]
Title: On O(a^2) effects in gradient flow observables
Comments: 7 pages 2 figures, contribution to Lattice 2014
Subjects: High Energy Physics - Lattice (hep-lat)

[9]  arXiv:1411.0258 [pdf, other]
Title: TEK twisted gradient flow running coupling
Comments: 7 pages, 3 figures, contribution to the 32nd International Symposium on Lattice Field Theory, 23-28 June, 2014. Columbia University New York, NY
Journal-ref: PoS(LATTICE2014)300
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Theory (hep-th)

[4]  arXiv:1411.0068 [pdf, other]
Title: Gradient Flow Analysis on MILC HISQ Ensembles
Comments: 7 pages, 3 pdf figures, 2 tables, presented at Lattice 2014, Columbia University, June 23-28, 2014
Subjects: High Energy Physics - Lattice (hep-lat)

[94]  arXiv:1410.8801 [pdf, ps, other]
Title: The lattice gradient flow at tree level
Comments: 7 pages, 11 figures, Contribution to the 32nd International Symposium on Lattice Field Theory (Lattice 2014), 23-28 June 2014, Columbia University, New York, NY, USA
Subjects: High Energy Physics - Lattice (hep-lat)

[78]  arXiv:1410.8358 [pdf, other]
Title: Testing the Witten-Veneziano mechanism with the Yang-Mills gradient flow on the lattice
Comments: 7 pages, 6 figures, talk presented at the 32nd International Symposium on Lattice Field Theory - Lattice 2014, June 23-28, 2014, Columbia University New York, NY
Journal-ref: PoS(LATTICE2014)353
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Theory (hep-th)

[67]  arXiv:1410.7862 [pdf, ps, other]
Title: String tension from smearing and Wilson flow methods
Comments: 7 pages, 10 figures, Contribution to the 32nd International Symposium on Lattice Field Theory (Lattice 2014), 23-28 June 2014, Columbia University, New York, NY, USA
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Theory (hep-th)

[63]  arXiv:1410.7538 [pdf, ps, other]
Title: Renormalizability of the gradient flow in the two-dimensional $O(N)$ non-linear sigma model
Comments: 32 pages, 15 figures
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Theory (hep-th)

[8]  arXiv:1409.2735 [pdf, other]
Title: Beyond-the-Standard-Model matrix elements with the gradient flow
Comments: 7 pages, 2 figures, presented at the 32nd International Symposium on Lattice Field Theory (Lattice 2014). Correct version of proceedings. Different wording of few paragraphs and different notation on few formulas. Added 1 reference
Subjects: High Energy Physics - Lattice (hep-lat)

[4]  arXiv:1409.1445 [pdf, other]
Title: The gradient flow running coupling with twisted boundary conditions
Authors: A. Ramos
Comments: 27 pages. LaTeX
Subjects: High Energy Physics - Lattice (hep-lat)

[35]  arXiv:1408.2185 (cross-list from hep-th) [pdf, ps, other]
Title: Generalized Gradient Flow Equation and Its Application to Super Yang-Mills Theory
Comments: 34 pages, typos corrected and references added
Subjects: High Energy Physics - Theory (hep-th); High Energy Physics - Lattice (hep-lat)

[2]  arXiv:1408.1498 [pdf, other]
Title: The gradient flow of the Dirac spectrum
Comments: 24 pages, 3 figures
Subjects: High Energy Physics - Lattice (hep-lat)

[4]  arXiv:1406.0827 [pdf, ps, other]
Title: The lattice gradient flow at tree-level and its improvement
Comments: 14 pages, 8 figures
Subjects: High Energy Physics - Lattice (hep-lat)

[178]  arXiv:1311.7304 [pdf, other]
Title: Critical slowing down and the gradient flow coupling in the Schrödinger functional
Comments: 7 pages, 5 figures, presented at the 31st International Symposium on Lattice Field Theory (Lattice 2013), 29 July - 3 August 2013, Mainz, Germany
Subjects: High Energy Physics - Lattice (hep-lat)

[84]  arXiv:1311.3936 [pdf, other]
Title: Numerical Stochastic Perturbation Theory and the Gradient Flow
Comments: Talk given at the 31st International Symposium on Lattice Field Theory, July 29 - August 3, 2013, Mainz, Germany; LaTeX source, 7 pages, 6 figures
Subjects: High Energy Physics - Lattice (hep-lat)

[26]  arXiv:1311.1453 [pdf, other]
Title: SO(2N) and SU(N) gauge theories
Comments: 7 pages, 6 figures, presented at the 31st International Symposium on Lattice Field Theory (Lattice 2013), 29 July - 3 August 2013, Mainz, Germany
Subjects: High Energy Physics - Lattice (hep-lat)