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We analyze the action of the spectral flows on N=2 twisted topological theories. We show that they provide a useful mapping between the two twisted topological theories associated to a given N=2 superconformal theory. This mapping can also…

High Energy Physics - Theory · Physics 2011-07-19 Beatriz Gato-Rivera , Jose Ignacio Rosado

We present a measurement of the Schr\"odinger Functional running coupling in SU(2) lattice gauge theory with adjoint fermions. We use HEX smearing and clover improvement to reduce the discretization effects. We obtain a robust continuum…

High Energy Physics - Lattice · Physics 2017-08-23 Jarno Rantaharju , Kari Rummukainen , Kimmo Tuominen

We study the sensitivity of the gradient flow coupling to sectors of different topological charge and its implications in practical situations. Furthermore, we investigate an alternative definition of the running coupling that is expected…

High Energy Physics - Lattice · Physics 2013-12-02 Patrick Fritzsch , Alberto Ramos , Felix Stollenwerk

We study the Yang-Mills gradient flow using numerical stochastic perturbation theory. As an application of the method we consider the recently proposed gradient flow coupling in the Schr\"odinger functional for the pure SU(3) gauge theory.

High Energy Physics - Lattice · Physics 2013-12-20 Mattia Dalla Brida , Dirk Hesse

We perform the step-scaling investigation of the running coupling constant, using the gradient-flow scheme, in SU(3) gauge theory with twelve massless fermions in the fundamental representation. The Wilson plaquette gauge action and…

High Energy Physics - Lattice · Physics 2015-12-18 C. -J. David Lin , Kenji Ogawa , Alberto Ramos

We study the parametrization of lattice spacing and thermodynamics of SU(3) gauge theory on the basis of the Yang-Mills gradient flow on fine lattices. The lattice spacing of the Wilson gauge action is determined over a wide range…

High Energy Physics - Lattice · Physics 2015-11-18 Masakiyo Kitazawa , Masayuki Asakawa , Tetsuo Hatsuda , Takumi Iritani , Etsuko Itou , Hiroshi Suzuki

The equivalence of cooling to the gradient flow when the cooling step $n_c$ and the continuous flow step of gradient flow $\tau$ are matched is generalized to gauge actions that include rectangular terms. By expanding the link variables up…

High Energy Physics - Lattice · Physics 2015-12-23 Constantia Alexandrou , Andreas Athenodorou , Karl Jansen

We calculate the low-lying glueball spectrum, some string tensions and some properties of topology and the running coupling for SU(N) lattice gauge theories in 3+1 dimensions. We do so for N = 2,3,...12, using lattice simulations with the…

High Energy Physics - Lattice · Physics 2022-01-05 Andreas Athenodorou , Michael Teper

We propose a supersymmetric gradient flow in ${\cal N}=1$ SQCD in four dimensions. The flow equation is derived in the superfield formalism and is also given for component fields of the Wess-Zumino gauge in a gauge covariant manner. We find…

High Energy Physics - Lattice · Physics 2020-01-01 Daisuke Kadoh , Naoya Ukita

The effective action of the SU(N) Polyakov loop model in the strong coupling region and in the static limit for the quark determinant can be mapped onto the Ising model in any dimensions, with the Ising variables attached on the links of…

High Energy Physics - Lattice · Physics 2023-09-20 B. Allés , O. Borisenko , A. Papa , S. Voloshyn

The entanglement entropy of SU(N) lattice gauge theory is studied exactly in 1+1 space-time dimensions and in Migdal-Kadanoff approximation in higher dimensional space. The existence of a non-analytical behavior reminiscent of a phase…

High Energy Physics - Lattice · Physics 2010-01-21 Alexander Velytsky

The gradient (Wilson) flow has been introduced recently in order to provide a solid theoretical framework for the smoothing of ultraviolet noise in lattice gauge configurations. It is interesting to ask how it compares with other, more…

High Energy Physics - Lattice · Physics 2014-05-14 Claudio Bonati , Massimo D'Elia

We present the scale-setting function and the equation of state of the pure SU(2) gauge theory using the gradient flow method. We propose a reference scale t0 for the SU(2) gauge theory satisfying $t^2\langle E \rangle|_{t=t_0} = 0.1$. This…

High Energy Physics - Lattice · Physics 2018-11-08 Takehiro Hirakida , Etsuko Itou , Hiroaki Kouno

We study the spectrum of closed flux tubes in four dimensional SU(N) gauge theories. We do so by calculating the energies of the low lying states with the variational technique (whose basis consists of about ~700 operators). We study states…

High Energy Physics - Lattice · Physics 2010-11-05 Andreas Athenodorou , Barak Bringoltz , Michael Teper

Perturbative calculations of gradient flow observables are technically challenging. Current results are limited to a few quantities and, in general, to low perturbative orders. Numerical stochastic perturbation theory is a potentially…

High Energy Physics - Lattice · Physics 2016-12-16 Mattia Dalla Brida , Martin Lüscher

Using smeared Creutz ratios we extract the string tension for SU(N) pure gauge theory and $N$=3,4,5,6,8. We employ these results to extrapolate to large N. The same methodology is applied to the single-site Twisted Eguchi Kawai model. The…

High Energy Physics - Lattice · Physics 2012-12-18 Antonio González-Arroyo , Masanori Okawa

We evaluate the QED coupling in the gradient-flow scheme in three and four space-time dimensions. Our general result applies to any theory with a U(1) gauge field coupled to arbitary other fields via arbitrary interactions. As an example,…

High Energy Physics - Phenomenology · Physics 2026-01-21 Lars Georg , Robert V. Harlander , Robert H. Mason

We motivate and explore the possibility that extra SU(N) gauge groups may exist independently of the Standard Model groups, yet not be subgroups of some grand unified group. We study the running of the coupling constants as a potential…

High Energy Physics - Phenomenology · Physics 2009-07-30 John F. Donoghue , Preema Pais

We study the pure SU(3) gauge theory in 2+1 dimensions on the lattice using 't Hooft's twisted boundary conditions to force non-vanishing center flux through the finite volume. In this way we measure the free energy of spacelike center…

High Energy Physics - Lattice · Physics 2010-12-06 Nils Strodthoff , Sam R. Edwards , Lorenz von Smekal

The apparent unification of gauge couplings around 10^16 GeV is one of the strong arguments in favor of Supersymmetric extensions of the Standard Model (SM). In this contribution two new analyses of the gauge coupling running, the latter…

High Energy Physics - Phenomenology · Physics 2009-11-11 Dimitri Bourilkov