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Related papers: Wilson loops with arbitrary charges

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We investigate the high energy behavior of the correlation functions of the open Wilson lines in noncommutative gauge theory. We obtain a very simple physical picture that they are bound to form a group of closed Wilson loops. We prove our…

High Energy Physics - Theory · Physics 2010-02-03 A. Dhar , Y. Kitazawa

We propose a new lattice action for non-abelian gauge theories, which will reduce short-range lattice artifacts in the computation of the topological susceptibility. The standard Wilson action is replaced by the Wilson action of a gauge…

High Energy Physics - Lattice · Physics 2009-09-15 Pilar Hernandez , Raman Sundrum

We study the $\mathbb{Z}_2$ and $U(1)$ Abelian lattice gauge theories using a bootstrap method, in which the loop equations and positivity conditions are employed for Wilson loops with lengths $L\leqslant L_{\textrm{max}}$ to derive…

High Energy Physics - Theory · Physics 2024-05-24 Zhijin Li , Shutong Zhou

We present an interpretation of loop quantization in the framework of lattice gauge theory. Within this context the lack of appropriate notions of effective theories and renormalization group flow exhibit loop quantization as an incomplete…

General Relativity and Quantum Cosmology · Physics 2015-06-25 José A. Zapata

We investigate the temporal Wilson loop using the Hamiltonian approach to Yang-Mills theory. In simple cases such as the Abelian theory or the non-Abelian theory in (1+1) dimensions, the known results can be reproduced using unitary…

High Energy Physics - Theory · Physics 2015-05-30 Hugo Reinhardt , Markus Quandt , Giuseppe Burgio

We look at energies of the low lying states of the hadronic string in three dimensional SU(2) lattice gauge theory by forming correlation matrices among different sources. We are able to go to previously inaccessible time separations. This…

High Energy Physics - Lattice · Physics 2009-11-07 Pushan Majumdar

This work is about pure Yang-Mills theory in four Euclidean dimensions with gauge group SU(N). We study rectangular smeared Wilson loops on the lattice at large N and relatively close to the large-N transition point in their eigenvalue…

High Energy Physics - Lattice · Physics 2015-06-05 Robert Lohmayer , Herbert Neuberger

Wilson loops provide the central gauge-invariant probe of confinement in lattice gauge theory. This survey reviews the statistical-mechanical formulation of lattice gauge ensembles, the strong-coupling and duality mechanisms behind area…

Statistical Mechanics · Physics 2026-05-14 Ethan Zhou , Marcus Reed , Caleb Hayes

We perform a non-perturbative study of pure gauge theory in a two dimensional non-commutative (NC) space. On the lattice, it is equivalent to the twisted Eguchi-Kawai model, which we simulated at N ranging from 25 to 515. We observe a clear…

High Energy Physics - Theory · Physics 2009-11-07 W. Bietenholz , F. Hofheinz , J. Nishimura

We test the unified-gauge formalism by computing a Wilson loop in Yang-Mills theory to one-loop order. The unified-gauge formalism is characterized by the abritrary, but fixed, four-vector $N_\mu$, which collectively represents the…

High Energy Physics - Theory · Physics 2007-05-23 Brian J. Hand , George Leibbrandt

We show that the Polyakov loop approaches its asymptotic value at high temperatures {\it from below} in any strongly-coupled gauge theory at large $N_c$ with a dual supergravity description. In these theories the Polyakov loop can be used…

High Energy Physics - Theory · Physics 2014-11-20 Jorge Noronha

We propose a new approach to the study of the inter-quark potential in Lattice Gauge Theories. Instead of looking at the expectation value of Polyakov loop correlators we study the modifications induced in the chromoelectric flux by the…

High Energy Physics - Lattice · Physics 2010-12-20 M. Billo' , M. Caselle , V. Verduci , M. Zago

Motivated by the connection between gauge field topology and the axial anomaly in fermion currents, I use the fourth power of the naive Dirac operator to define a local lattice measure of topological charge. For smooth gauge fields this…

High Energy Physics - Lattice · Physics 2011-03-07 Michael Creutz

An analysis of the monopole loop length distribution is performed in Wilson-action SU(2) lattice gauge theory. A pure power law in the inverse length is found, at least for loops of length, $l$, less than the linear lattice size $N$. This…

High Energy Physics - Lattice · Physics 2009-10-31 Michael Grady

For a pure SU(N) gauge theory on the lattice we test if the expectation values of small Wilson loops become volume independent in the large N limit.

High Energy Physics - Lattice · Physics 2015-01-20 Antonio Gonzalez-Arroyo , Masanori Okawa

We present potentials between static charges from simulations of quantum gravity coupled to an SU(2) gauge field on $6^{3}\times 4$ and $8^{3}\times 4$ simplicial lattices. The action consists of the gravitational term given by Regge's…

High Energy Physics - Lattice · Physics 2016-08-31 W. Beirl , B. A. Berg , B. Krishnan , H. Markum , J. Riedler

In this paper, we obtain bounds on the Wilson loop expectations in 4D $U(1)$ lattice gauge theory which quantify the effect of topological defects. In the case of a Villain interaction, by extending the non-perturbative technique introduced…

Probability · Mathematics 2021-10-04 Christophe Garban , Avelio Sepúlveda

A Lagrangian formulation is given extending to N = 1 supersymmetry the motion of a charged point particle with spin in a non-abelian external field. The classical formulation is constructed for any external static non-abelian SU(N) gauge…

High Energy Physics - Theory · Physics 2017-02-10 Michaël Fanuel , Jan Govaerts , Gabriel Y. H. Avossevou , Anselme F. Dossa

The average of two Wilson loops is expressed in terms of gauge invariant field strength correlators. Assuming the existence of finite correlation length $T_g$ and taking into account the absence of a fixed direction in colour space, we…

High Energy Physics - Phenomenology · Physics 2009-09-25 A. Yu. Dubin , Yu. S. Kalashnikova

We consider a fractal Wilson loop $<F_{P}>$ and present physical arguments why this should be a relevant observable in nature. We show for non-compact SU(2) lattice gauge theory in the next to leading order of strong coupling expansion that…

High Energy Physics - Lattice · Physics 2009-09-25 D. Allouani , H. Kröger
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