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We study the renormalisation of $SU(N_c)$ gauge theories on general anisotropic lattices, to one-loop order in perturbation theory, employing the background field method. The results are then applied in the context of two different…

高能物理 - 格点 · 物理学 2015-09-02 Matteo Giordano

We have measured the running coupling constant of SU(3) gauge theory coupled to Nf=2 flavors of symmetric representation fermions, using the Schrodinger functional scheme. Our lattice action is defined with hypercubic smeared links which,…

高能物理 - 格点 · 物理学 2014-11-21 Thomas DeGrand , Yigal Shamir , Benjamin Svetitsky

Recently we proposed a natural scenario of grand unified theories with anomalous U(1)_A gauge symmetry, in which doublet-triplet splitting is realized in SO(10) unification using Dimopoulos-Wilczek mechanism and realistic quark and lepton…

高能物理 - 唯象学 · 物理学 2009-11-07 Nobuhiro Maekawa

The decoupling strategy allows one to obtain the value of the strong coupling in QCD from the running in pure gauge. Here we present our strategy to determine the running in the $SU(3)$ Yang-Mills theory. We use a finite-volume scheme with…

高能物理 - 格点 · 物理学 2026-04-01 Isabella Leone Zimmel , Alberto Ramos

This talk offers a brief review of the determination of coupling constants in the framework of dimensionally reduced effective field theories for thermal QCD, specializing on its gluonic sector. Interestingly, higher-order operators that go…

高能物理 - 唯象学 · 物理学 2018-08-20 York Schroder

We use analytic continuation to extend the gauge/gravity duality nonperturbative description of the strong force coupling into the transition, near-perturbative, regime where perturbative effects become important. By excluding the…

We study the 2+1 dimensional SU(N) Yang-Mills theory on a finite two-torus with twisted boundary conditions. Our goal is to study the interplay between the rank of the group N, the length of the torus L and the Z_N magnetic flux. After…

高能物理 - 格点 · 物理学 2013-07-22 Margarita García Pérez , Antonio González-Arroyo , Masanori Okawa

We analyze the vacuum structure of SU(2) lattice gauge theories in D=2,3,4, concentrating on the stability of 't Hooft loops. High precision calculations have been performed in D=3; similar results hold also for D=4 and D=2. We discuss the…

高能物理 - 格点 · 物理学 2013-11-19 Giuseppe Burgio

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…

高能物理 - 格点 · 物理学 2015-12-23 Constantia Alexandrou , Andreas Athenodorou , Karl Jansen

Dimensional reduction is a key issue in finite temperature field theory. For example, when following the QCD Free Energy from low to high scales across the critical temperature, ultrasoft degrees of freedom can be captured by a 3d SU(3)…

高能物理 - 格点 · 物理学 2016-09-01 F. Di Renzo , A. Mantovi , V. Miccio , Y. Schroder

We study a class of four-dimensional $\mathcal{N}=2$ SU($N$) gauge theories with two massless hypermultiplets in the rank-two antisymmetric representation and $0\leq N_f\leq 4$ fundamental flavors. These theories are superconformal for…

高能物理 - 理论 · 物理学 2026-05-19 M. Billo , A. Lerda , A. Testa

We investigate gauge coupling unification for F-theory respectively Type IIB orientifold constructions of SU(5) GUT theories with gauge symmetry breaking via non-trivial hypercharge flux. This flux has the non-trivial effect that it splits…

高能物理 - 理论 · 物理学 2009-03-02 Ralph Blumenhagen

A non-perturbative finite-size scaling technique is used to study the evolution of the running coupling (in a certain adapted scheme) in the SU(3) Yang-Mills theory. At low energies contact is made with the fundamental dynamical scales,…

高能物理 - 格点 · 物理学 2009-10-22 Martin Luescher , Rainer Sommer , Peter Weisz , Ulli Wolff

We propose a superconducting quantum circuit based on a general symmetry principle -- combinatorial gauge symmetry -- designed to emulate topologically-ordered quantum liquids and serve as a foundation for the construction of topological…

量子物理 · 物理学 2021-09-14 Claudio Chamon , Dmitry Green , Andrew J. Kerman

We provide numerical results for the running coupling in $SU(3)$ Yang-Mills theory as determined from an analysis of lattice two and three-point gluon correlation functions. The coupling is evaluated directly, from first principles, by…

高能物理 - 格点 · 物理学 2007-05-23 D. S. Henty , C. Parrinello

We calculate the perturbative corrections in the strong coupling to the unpolarized quark transverse-momentum dependent parton distribution function (TMDPDF) operator within a background-field framework, extending the approach of Ref. [1].…

高能物理 - 唯象学 · 物理学 2025-07-01 Swagato Mukherjee , Vladimir V. Skokov , Andrey Tarasov , Shaswat Tiwari

It was shown using perturbation theory[1] that Thouless energy Ec for a quantum system scales linearly with the conductance of the system. We derive in an alternate way in 1-D that Ec scales with the conductance in a very different way. We…

凝聚态物理 · 物理学 2008-02-03 P. Singha Deo

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…

高能物理 - 格点 · 物理学 2010-01-21 Alexander Velytsky

We provide a quantum path integral definition of an 't Hooft loop operator, which inserts a pointlike monopole in a four dimensional gauge theory. We explicitly compute the expectation value of the circular 't Hooft operators in N=4 super…

高能物理 - 理论 · 物理学 2022-12-01 Jaume Gomis , Takuya Okuda , Diego Trancanelli

Within the context of a String Theory dual to N=1 gauge theories with gauge group SU(Nc) and large Nc, we identify a class of solutions of the background equations for which a suitably defined dual of the gauge coupling exhibits the…

高能物理 - 理论 · 物理学 2011-06-24 Carlos Nunez , Ioannis Papadimitriou , Maurizio Piai