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The cross or soft anomalous dimension matrix describes the renormalization of Wilson loops with a self-intersection and is an important object in the study of infrared divergences of scattering amplitudes. In this paper it is studied for…

High Energy Physics - Theory · Physics 2020-03-12 Hagen Münkler

A weak quantum mechanical coupling is constructed permitting superluminal communication within a preferred region of a gravitating AdS_5 spacetime. This is achieved by adding a spatially non-local perturbation of a special kind to the…

High Energy Physics - Theory · Physics 2008-11-26 Raman Sundrum

We reconsider the low-energy effective theory for Higgs-less electroweak symmetry breaking: we study the anomaly-matching in the situation where all Goldstone fields disappear from the spectrum as a result of the Higgs mechanism. We find…

High Energy Physics - Phenomenology · Physics 2008-11-26 Johannes Hirn , Jan Stern

In planar ${\cal N}=4$ supersymmetric Yang-Mills theory we have studied supersymmetric Wilson loops composed of a large number of light-like segments, i.e., null zig-zags. These contours oscillate around smooth underlying spacelike paths.…

High Energy Physics - Theory · Physics 2014-11-18 Zhifeng Xie

We study correlators of null, $n$-sided polygonal Wilson loops with a Lagrangian insertion in the planar limit of the ${\cal N}=4$ supersymmetric Yang-Mills theory. This finite observable is closely related to loop integrands of…

High Energy Physics - Theory · Physics 2025-03-24 Taro V. Brown , Johannes M. Henn , Elia Mazzucchelli , Jaroslav Trnka

Operators with integer scaling dimensions in even-dimensional conformal field theories exhibit well-known type-B Weyl anomalies. In general, these anomalies depend non-trivially on exactly marginal couplings. We study the corresponding…

High Energy Physics - Theory · Physics 2025-01-09 Enrico Andriolo , Vasilis Niarchos , Constantinos Papageorgakis , Elli Pomoni

We consider the world surface in AdS_5 that ends on two intersecting null lines at the boundary. The corresponding string partition function describes the expectation value of the Wilson line with a null cusp in dual large N maximally…

High Energy Physics - Theory · Physics 2009-09-17 R. Roiban , A. A. Tseytlin

In the planar N=4 supersymmetric Yang-Mills theory, the conformal symmetry constrains multi-loop n-edged Wilson loops to be given in terms of the one-loop n-edged Wilson loop, augmented, for n greater than 6, by a function of conformally…

High Energy Physics - Theory · Physics 2014-11-20 Vittorio Del Duca , Claude Duhr , Vladimir A. Smirnov

Solutions of the Strong CP Problem based on the spontaneous breaking of CP must feature a non-generic structure and simultaneously explain a coincidence between a priori unrelated CP-even and CP-odd mass scales. We show that these…

High Energy Physics - Phenomenology · Physics 2021-08-04 Alessandro Valenti , Luca Vecchi

We present a systematic method for the derivation of a relation which connects the correlation function of operators on the straight Maldacena-Wilson line with the integrability data for the cusp anomalous dimension. As we show, the…

High Energy Physics - Theory · Physics 2023-04-26 Andrea Cavaglià , Nikolay Gromov , Julius Julius , Michelangelo Preti

Using background field perturbation theory we study Wilsonian effective actions of noncommutative gauge theories with an arbitrary matter content. We determine the Wilsonian coupling constant and the gauge boson polarization tensor as…

High Energy Physics - Theory · Physics 2010-02-03 Valentin V. Khoze , Gabriele Travaglini

The diagrammatic computation of the chiral anomaly is associated with momentum-routing invariance breaking. This happens because the momentum routing in the internal lines of a loop diagram is chosen such that the gauge Ward identities hold…

High Energy Physics - Theory · Physics 2025-07-08 A. R. Vieira

We compute for the first time the two-loop corrections to arbitrary n-gon lightlike Wilson loops in N=4 supersymmetric Yang-Mills theory, using efficient numerical methods. The calculation is motivated by the remarkable agreement between…

High Energy Physics - Theory · Physics 2010-06-29 Charalampos Anastasiou , Andreas Brandhuber , Paul Heslop , Valentin V. Khoze , Bill Spence , Gabriele Travaglini

The conformal anomaly has provided an expression for the effective action of gauge theories in the presence of a strong background field in terms of the running coupling constant. We exploit this result to find a novel expansion for the…

High Energy Physics - Theory · Physics 2012-10-02 D. G. C. McKeon , A. Patrushev

Conformal transformations of the following kinds are compared: (1) conformal coordinate transformations, (2) conformal transformations of Lagrangian models for a D-dimensional geometry, given by a Riemannian manifold M with metric g of…

General Relativity and Quantum Cosmology · Physics 2009-10-22 M. Rainer

We study supersymmetric Wilson loops from a geometrical perspective. To this end, we propose a new formulation of these operators in terms of an integral form associated to the immersion of the loop into a supermanifold. This approach…

High Energy Physics - Theory · Physics 2020-05-20 C. A. Cremonini , P. A. Grassi , S. Penati

This work presents a first study of a radiative calculation for the gravitational axial anomaly in the massless Abelian Higgs model. The two loop contribution to the anomalous correlation function of one axial current and two…

High Energy Physics - Theory · Physics 2009-10-31 Jiannis Pachos , Ricardo Schiappa

The inverse square potential arises in a variety of different quantum phenomena, yet notoriously it must be handled with care: it suffers from pathologies rooted in the mathematical foundations of quantum mechanics. We show that its…

Soft Condensed Matter · Physics 2015-06-15 Cristiano Nisoli , Alan. R. Bishop

Using an effective field theory approach, we address the effects on the gauge couplings of one and two additional compact dimensions in the presence of a constant background (gauge) field. Such background fields are a generic presence in…

High Energy Physics - Theory · Physics 2015-06-26 D. M. Ghilencea

We study the conditions under which a symmetry is spontaneously broken in the Wilson renormalization group formulation. Both for a global and local symmetry, the result is that in perturbation theory one has to perform a fine tuning of the…

High Energy Physics - Theory · Physics 2009-10-28 M. Bonini , M. D'Attanasio
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