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The cut-off effects of the lattice gradient flow -- often called Wilson flow -- are calculated on a periodic 4-torus at leading order in the gauge coupling. A large class of discretizations is considered which includes all frequently used…

高能物理 - 格点 · 物理学 2014-11-03 Zoltan Fodor , Kieran Holland , Julius Kuti , Santanu Mondal , Daniel Nogradi , Chik Him Wong

We exploit a conjectured continuity between super Yang-Mills on $\mathbb R^3\times \mathbb S^1$ and pure Yang-Mills to study $k$-strings in the latter theory. As expected, we find that Wilson-loop correlation functions depend on the N-ality…

高能物理 - 理论 · 物理学 2018-01-01 Mohamed M. Anber , Vito Pellizzani

We explore further the Hamiltonian formulation of Yang-Mills theory in 2+1 dimensions in terms of gauge-invariant matrix variables. Coupling to scalar matter fields is discussed in terms of gauge-invariant fields. We analyze how the…

高能物理 - 理论 · 物理学 2008-11-26 Abhishek Agarwal , Dimitra Karabali , V. P. Nair

We compute the one-loop string corrections to the Wilson loop, glueball Regge trajectory and stringy hadron masses in the Witten model of non supersymmetric, large-N Yang-Mills theory. The classical string configurations corresponding to…

高能物理 - 理论 · 物理学 2009-11-10 F. Bigazzi , A. L. Cotrone , L. Martucci , L. A. Pando Zayas

We compute one-loop amplitudes in six-dimensional Yang-Mills theory with half-maximal supersymmetry from first principles: imposing gauge invariance and locality on an ansatz made from string-theory inspired kinematic building blocks yields…

高能物理 - 理论 · 物理学 2017-09-13 Marcus Berg , Igor Buchberger , Oliver Schlotterer

We present results from numerical lattice calculations of SU(4) Yang-Mills theory. This work has two goals: to determine the order of the finite temperature deconfinement transition on an $N_t = 6$ lattice and to study the string tensions…

高能物理 - 格点 · 物理学 2009-10-31 Matthew Wingate , Shigemi Ohta

We briefly review the string technology needed to calculate Yang-Mills amplitudes at two loops, and we apply it to the evaluation of two-loop vacuum diagrams.

高能物理 - 唯象学 · 物理学 2009-10-30 Lorenzo Magnea , Rodolfo Russo

We propose a method for measuring the string tension in gauge theories, by considering an interference effect of mesons, which is governed by a space-time area law, due to confinement. Although it is only a gedanken experiment for real…

量子物理 · 物理学 2012-06-12 Erez Zohar , Benni Reznik

We apply the positivity bootstrap approach to SU(3) lattice Yang-Mills (YM) theory, extending previous studies of large N and SU(2) theories by incorporating multiple-trace Wilson loop operators. By utilizing Hermitian and reflection…

高能物理 - 理论 · 物理学 2025-12-08 Yuanhong Guo , Zeyu Li , Gang Yang , Guorui Zhu

We calculate the string tension, deconfinement transition temperature and bulk thermodynamic quantities of the SU(3) gauge theory using tree level and tadpole improved actions. Finite temperature calculations have been performed on lattices…

高能物理 - 格点 · 物理学 2011-09-13 B. Beinlich , F. Karsch , E. Laermann , A. Peikert

The complete expression of the heavy quark-antiquark potential up to order $1/m^2$ is known from QCD in terms of Wilson loop expectation values. We use that expression and a mapping, assumed to be valid at large distances, between Wilson…

高能物理 - 唯象学 · 物理学 2015-01-07 Nora Brambilla , Michael Groher , Hector E. Martinez , Antonio Vairo

Correlation functions of Wilson lines are relevant for describing the infrared structure of scattering amplitudes. We develop a new method for evaluating a wide class of such Wilson line integrals, and apply it to the calculation of the…

高能物理 - 理论 · 物理学 2015-06-15 Johannes M. Henn , Tobias Huber

String representations of the Wilson loop are constructed in the SU(N)-version of compact QED in three and four dimensions. This is done exactly in the case of the fundamental Wilson loop and in the large-N limit in the case of the adjoint…

高能物理 - 理论 · 物理学 2010-04-15 Dmitri Antonov

We explore the space of non-gravitational, maximally supersymmetric, planar 4d effective field theories (EFTs) that have $\mathcal{N}=4$ super Yang-Mills (SYM) at leading order. We show that in the weakly-coupled regime, highly non-trivial…

高能物理 - 理论 · 物理学 2026-05-15 Henriette Elvang , Aidan Herderschee , Roger Morales

We describe a topological string theory which reproduces many aspects of the 1/N expansion of SU(N) Yang-Mills theory in two spacetime dimensions in the zero coupling (A=0) limit. The string theory is a modified version of topological…

高能物理 - 理论 · 物理学 2009-10-28 Stefan Cordes , Gregory Moore , Sanjaye Ramgoolam

The [dual] string tension of a spatial 't Hooft loop in the deconfined phase of Yang-Mills theory can be formulated as the tension of an interface separating different Z_N deconfined vacua. We review the 1-loop perturbative calculation of…

高能物理 - 格点 · 物理学 2009-11-11 Philippe de Forcrand , David Noth

We consider the phenomenon of string breaking in the context of the spatial Wilson loops using the gauge/string duality. In particular, we discuss the impact of light flavors on the pseudopotential. We also introduce the notion of the…

高能物理 - 唯象学 · 物理学 2026-02-19 Oleg Andreev

A convincing, uncontroversial observation of string breaking, when the static potential is extracted from Wilson loops only, is still missing. This failure can be understood if the overlap of the Wilson loop with the broken string is…

高能物理 - 格点 · 物理学 2009-11-07 Slavo Kratochvila , Philippe de Forcrand

Employing the nonabelian duality transformation, I derive the Gauge String form of certain D>=3 lattice Yang-Mills (YM_{D}) theories in the strong coupling (SC) phase. With the judicious choice of the actions, in D>=3 our construction…

高能物理 - 理论 · 物理学 2009-10-31 Andrey Yu. Dubin

The spatial string tension, a classic non-perturbative probe for the convergence of the weak-coupling expansion at high temperatures, can be determined in full QCD as well as in a dimensionally reduced effective theory. Comparing both…

高能物理 - 格点 · 物理学 2007-05-23 M. Laine , Y. Schroder