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We calculate Wilson loops in lowest order of perturbation theory for triangular contours whose edges are circular arcs. Based on a suitable disentanglement of the relations between metrical and conformal parameters of the contours, the…

High Energy Physics - Theory · Physics 2021-05-26 Harald Dorn

In this lecture, I put forward conjectures asserting that, in all noncommutative field theories, (1) open Wilson lines and their descendants constitute a complete set of interpolating operators of `noncommutative dipoles', obeying dipole…

High Energy Physics - Theory · Physics 2007-05-23 Soo-Jong Rey

Quiver gauge theories with a large number of nodes host a wealth of Wilson loop operators. Expectation values are obtained, using supersymmetric localization, for Wilson loops in the antisymmetric representations associated with each…

High Energy Physics - Theory · Physics 2020-10-26 Christoph F. Uhlemann

Compact string expressions are found for non-intersecting Wilson loops in SU(N) Yang-Mills theory on any surface (orientable or nonorientable) as a weighted sum over covers of the surface. All terms from the coupled chiral sectors of the…

High Energy Physics - Theory · Physics 2009-10-28 Stephen G. Naculich , Harold A. Riggs

An integral relation between two functions parametrizing the bilocal field strength correlator within the Stochastic Vacuum Model is obtained in the effective Abelian-projected SU(2)-theory. This relation is independent of the concrete…

High Energy Physics - Phenomenology · Physics 2009-10-31 Dmitri Antonov

We study the behavior of the Wilson loop in the (5+1)-dimensional supersymmetric Yang-Mills theory with the presence of the solitonic object. Using the dual string description of the Yang-Mills theory that is given by the D1/D5 system, we…

High Energy Physics - Theory · Physics 2009-11-07 Hidenori Takahashi , Tadahito Nakajima , Kenji Suzuki

We study the connected correlator of 1/2 BPS winding Wilson loops in $\mathcal{N}=4$ $U(N)$ super Yang-Mills theory, where those Wilson loops are on top of each other along the same circle. We find the exact finite $N$ expression of the…

High Energy Physics - Theory · Physics 2018-11-14 Kazumi Okuyama

We discuss the analyticity properties of the Wilson--loop correlation functions relevant to the problem of soft high-energy scattering, directly at the level of the functional integral, in a genuinely nonperturbative way.

High Energy Physics - Phenomenology · Physics 2010-05-11 M. Giordano , E. Meggiolaro

We continue our study of the correlators of a recently discovered family of BPS Wilson loops in N=4 supersymmetric U(N) Yang-Mills theory. We perform explicit computations at weak coupling by means of analytical and numerical methods…

High Energy Physics - Theory · Physics 2010-04-23 Antonio Bassetto , Luca Griguolo , Fabrizio Pucci , Domenico Seminara , Shiyamala Thambyahpillai , Donovan Young

$QCD_2$ with fermions in the adjoint representation is invariant under $SU(N)/Z_N$ and thereby is endowed with a non-trivial vacuum structure (k-sectors). The static potential between adjoint charges, in the limit of infinite mass, can be…

High Energy Physics - Theory · Physics 2009-10-31 A. Bassetto , L. Griguolo , F. Vian

We study the space-time invariances of the bosonic relativistic particle and bosonic relativistic string using general formulations obtained by incorporating the Hamiltonian constraints into the formalism. We point out that massless…

High Energy Physics - Theory · Physics 2007-05-23 W. F. Chagas-Filho

In gauge systems coupled to matter, the static potential flattens out at a scale where the confining string breaks by formation of a dynamical pair of particles. Surprisingly, such a breaking is invisible in Wilson loops even when the…

High Energy Physics - Lattice · Physics 2009-10-31 Ferdinando Gliozzi

We construct contact interactions for bosonic and spinning strings. In the tensionless limit of the spinning string this reproduces the super-Wilson loop that couples spinor matter to Abelian gauge theory. Adding boundary terms that…

High Energy Physics - Theory · Physics 2015-06-23 James P. Edwards , Paul Mansfield

We derive the universal threshold corrections in heterotic string theory including a continuous Wilson line. Unification of gauge and gravitational couplings is shown to be possible even within perturbative string theory. The relative…

High Energy Physics - Theory · Physics 2009-10-30 H. P. Nilles , S. Stieberger

It was suggested in hep-th/0002106, that semiclassically, a partition function of a string theory in the 5 dimensional constant negative curvature space with a boundary condition at the absolute satisfy the loop equation with respect to…

High Energy Physics - Theory · Physics 2009-10-31 M. Zyskin

Biadjoint scalar field theory has been the subject of much recent study, due to a number of applications in field and string theory. The catalogue of exact non-linear solutions of this theory is relatively unexplored, despite having a role…

High Energy Physics - Theory · Physics 2018-11-21 Nadia Bahjat-Abbas , Ricardo Stark-Muchão , Chris D. White

The standard prescription for computing Wilson loops in the AdS/CFT correspondence in the large coupling regime and tree-level involves minimizing the string action. In many cases the action has more than one saddle point as in the simple…

High Energy Physics - Theory · Physics 2010-02-03 Nadav Drukker

We analyze the $1/\theta$ and 1/N expansions of the Wilson loop averages $<W(C)>_{U_\theta (N)}$ in the two-dimensional noncommutative $U_\theta (N)$ gauge theory with the parameter of noncommutativity $\theta$. For a generic rectangular…

High Energy Physics - Theory · Physics 2008-11-26 Jan Ambjorn , Andrei Dubin , Yuri Makeenko

We study the $2+1$ dimensional boson-fermion duality in the presence of background curvature and electromagnetic fields. The main players are, on the one hand, a massive complex $|\phi|^4$ scalar field coupled to a $U(1)$…

Strongly Correlated Electrons · Physics 2018-12-19 Yago Ferreiros , Eduardo Fradkin

The locally BPS Wilson loop and the pure gauge Wilson loop map under AdS/CFT duality to string world-sheet boundaries with standard and alternate quantizations of the world-sheet fields. This implies an RG flow between the two operators,…

High Energy Physics - Theory · Physics 2015-05-28 Joseph Polchinski , James Sully