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pro vyhledávání: '"Dorn, Harald"'
Autor:
Dorn, Harald
The conformal nature of smooth curves in $\mathbb{R}^3$ is characterised by conformal length, curvature and torsion. We present a derivation of these conformal parameters via a limiting process using inscribed polygons with circular edges . The proce
Externí odkaz:
http://arxiv.org/abs/2401.17854
Autor:
Dorn, Harald
This short note is some obvious mathematical addendum to our papers on Wilson loops on polygon-like contours with circular edges \cite{Dorn:2020meb,Dorn:2020vzj}. Using the technique of osculating spheres and circles we identify the conformal invaria
Externí odkaz:
http://arxiv.org/abs/2301.01513
Autor:
Dorn, Harald
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 result fits pe
Externí odkaz:
http://arxiv.org/abs/2010.14822
On anomalous conformal Ward identities for Wilson loops on polygon-like contours with circular edges
Autor:
Dorn, Harald
We derive the anomalous conformal Ward identities for ${\cal N}=4$ SYM Wilson loops on polygon-like contours with edges formed by circular arcs. With a suitable choice of parameterisation they are very similarly to those for local correlation functio
Externí odkaz:
http://arxiv.org/abs/2001.03391
Autor:
Dorn, Harald
Publikováno v:
JHEP 07 (2019) 088
We calculate both at leading weak and strong coupling the renormalised Maldacena-Wilson loop for contours formed by consecutive passage of two touching circles. At the touching point both circles should have the same normal direction but form cusps o
Externí odkaz:
http://arxiv.org/abs/1905.01101
Autor:
Dorn, Harald
We study the Wilson loops for contours formed by a consecutive passage of two touching circles with a common tangent, but opposite orientation. The calculations are performed in lowest nontrivial order for ${\cal N}=4$ SYM at weak and strong coupling
Externí odkaz:
http://arxiv.org/abs/1811.00799
Autor:
Dorn, Harald
We study the divergences of Wilson loops for a contour with a cusp of zero opening angle, combined with a nonzero discontinuity of its curvature. The analysis is performed in lowest order, both for weak and strong coupling. Such a spike contributes a
Externí odkaz:
http://arxiv.org/abs/1801.10367
Autor:
Dorn, Harald
The entanglement entropy for smooth regions $\cal A$ has a logarithmic divergent contribution with a shape dependent coefficient and that for regions with conical singularities an additional $\log ^2$ term. Comparing the coefficient of this extra ter
Externí odkaz:
http://arxiv.org/abs/1608.04900
Autor:
Dorn, Harald
We consider banana shaped regions as examples of compact regions, whose boundary has two conical singularities. Their regularised holographic entropy is calculated with all divergent as well as finite terms. The coefficient of the squared logarithmic
Externí odkaz:
http://arxiv.org/abs/1602.06756
Autor:
Dorn, Harald
We construct the minimal surface in AdS, relevant for the strong coupling behaviour of local supersymmetric Wilson loops in N=4 SYM for a closed contour formed out of segments of two intersecting circles. Its regularised area is calculated including
Externí odkaz:
http://arxiv.org/abs/1509.00222