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Let A be a self-adjoint operator acting on a Hilbert space. The notion of second order spectrum of A relative to a given finite-dimensional subspace L has been studied recently in connection with the phenomenon of spectral pollution in the…

Spectral Theory · Mathematics 2010-08-17 Lyonell Boulton , Michael Strauss

Working within the AdS/CFT correspondence we calculate the three-point function of two giant gravitons and one pointlike graviton using methods of semiclassical string theory and considering both the case where the giant gravitons wrap an…

High Energy Physics - Theory · Physics 2011-06-28 Agnese Bissi , Charlotte Kristjansen , Donovan Young , Konstantinos Zoubos

We discuss string theory methods for the study of strongly coupled holographic defect conformal field theories (CFTs) which are dual to probe-brane systems. First, we examine whether the string theory duals of such defect CFTs are…

High Energy Physics - Theory · Physics 2025-01-22 Georgios Linardopoulos

We present a new computational framework for the Galerkin-collocation method for double domain in the context of ADM 3+1 approach in numerical relativity. This work enables us to perform high resolution calculations for initial sets of two…

General Relativity and Quantum Cosmology · Physics 2018-05-24 W. Barreto , P. C. M. Clemente , H. P. de Oliveira , B. Rodriguez-Mueller

We investigate a holographic description of k-strings in higher representations via D5 branes with worldvolume fluxes. The D-brane configurations are embedded in supergravity backgrounds dual to confining field theories in 3 and 4…

High Energy Physics - Theory · Physics 2013-06-12 B. Button , S. J. Lee , L. A. Pando Zayas , V. Rodgers , K. Stiffler

Important illustration to the principle ``partition functions in string theory are $\tau$-functions of integrable equations'' is the fact that the (dual) partition functions of $4d$ $\mathcal{N}=2$ gauge theories solve Painlev\'e equations.…

High Energy Physics - Theory · Physics 2022-11-23 Mykola Semenyakin

The spectrum of the Lipkin-Meshkov-Glick model is exactly derived in the thermodynamic limit by means of a spin coherent states formalism. In the first step, a classical analysis allows one to distinguish between four distinct regions in…

Statistical Mechanics · Physics 2008-09-01 P. Ribeiro , J. Vidal , R. Mosseri

In these lecture notes, we take a closer look at the calculation of scattering amplitudes for the bosonic string. It is believed that string theories form the UV completions of (super)gravity theories. Support for this claim can be found in…

High Energy Physics - Theory · Physics 2010-11-03 Wieland Staessens , Bert Vercnocke

We study the leading singularities for pure gluon amplitudes obtained by on-shell gluing of three-particle amplitudes for an arbitrary graph in any number of dimensions. By encoding the polarization vector contractions in a graphical way,…

High Energy Physics - Theory · Physics 2025-12-22 Sérgio Carrôlo , Carolina Figueiredo

Complexity is a fundamental characteristic of states within a quantum system. Its use is however mostly limited to bosonic systems, inhibiting its present applicability to supersymmetric theories. This is also relevant to its application to…

High Energy Physics - Theory · Physics 2024-12-16 Rathindra N. Das , Saskia Demulder , Johanna Erdmenger , Christian Northe

The novel massive spinor-helicity formalism of Arkani-Hamed, Huang and Huang provides an elegant way to calculate scattering amplitudes in quantum chromodynamics for arbitrary quark spin projections. In this note we compute two families of…

High Energy Physics - Phenomenology · Physics 2018-12-18 Alexander Ochirov

A few issues on gluon confinement are addressed with the help of a renormalizable gauge model obtained by introducing a replica of the Faddeev-Popov action and a soft breaking of the BRST symmetry. Confinement turns out to be encoded in the…

High Energy Physics - Theory · Physics 2011-08-23 Silvio Paolo Sorella

We present the one-loop helicity amplitudes with five external gluons. The computation employs string-based methods, new techniques for performing tensor integrals, and improvements in the spinor helicity method.

High Energy Physics - Phenomenology · Physics 2010-11-15 Z. Bern , L. Dixon , D. A. Kosower

We continue to investigate correspondences between, on the one hand, scattering amplitudes for massive higher-spin particles and gravitons in appropriate quantum-to-classical limits, and on the other hand, classical gravitational…

High Energy Physics - Theory · Physics 2023-06-08 Yilber Fabian Bautista , Alfredo Guevara , Chris Kavanagh , Justin Vines

Certain scattering amplitudes in the gravitational sector of type II string theory on K3 x T^2 are found to be computed by correlation functions of the N=4 topological string. This analysis extends the already known results for K3 by…

High Energy Physics - Theory · Physics 2008-11-26 I. Antoniadis , S. Hohenegger , K. S. Narain

We analyze the quark mass dependence of photon gluon fusion in polarized deep inelastic scattering for both the intrinsic and extrinsic gluon distributions of the nucleon. We calculate the effective number of flavors for each of the heavy…

High Energy Physics - Phenomenology · Physics 2009-09-11 Steven Bass , Stanley J. Brodsky , Ivan Schmidt

We derive a "master formula" for the contribution of the three-gluon correlation function in the nucleon to the twist-3 single-spin-dependent cross section for semi-inclusive deep-inelastic scattering, ep^\uparrow\to eDX. This is an…

High Energy Physics - Phenomenology · Physics 2011-06-24 Yuji Koike , Kazuhiro Tanaka , Shinsuke Yoshida

A symmetric characteristic singular integral equation with two fixed singularities at the endpoints in the class of functions bounded at the ends is analyzed. It reduces to a vector Hilbert problem for a half-disc and then to a vector…

Complex Variables · Mathematics 2015-10-06 Y. A. Antipov

Both positive and negative charge conjugation glueball spectra are computed with a constituent gluon approach. We first compute the spectrum of the Hamiltionian describing two-gluon bound states having $C=+$, before tackling the three-gluon…

High Energy Physics - Phenomenology · Physics 2025-03-20 Cyrille Chevalier , Vincent Mathieu

We discuss classical closed string solutions in non-relativistic two-sphere target spaces. These classes of solutions closely relate to the GKP-type, spinning and pulsating strings for the relativistic case. We derive the string dynamics in…

High Energy Physics - Theory · Physics 2025-05-06 Aritra Banerjee , Adrita Chakraborty , Nibedita Padhi
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