Search results for "Continuation"
showing 10 items of 276 documents
Wilson Loop Form Factors: A New Duality
2017
We find a new duality for form factors of lightlike Wilson loops in planar $\mathcal N=4$ super-Yang-Mills theory. The duality maps a form factor involving an $n$-sided lightlike polygonal super-Wilson loop together with $m$ external on-shell states, to the same type of object but with the edges of the Wilson loop and the external states swapping roles. This relation can essentially be seen graphically in Lorentz harmonic chiral (LHC) superspace where it is equivalent to planar graph duality. However there are some crucial subtleties with the cancellation of spurious poles due to the gauge fixing. They are resolved by finding the correct formulation of the Wilson loop and by careful analyti…
Explicit results for all orders of the epsilon-expansion of certain massive and massless diagrams
2000
An arbitrary term of the epsilon-expansion of dimensionally regulated off-shell massless one-loop three-point Feynman diagram is expressed in terms of log-sine integrals related to the polylogarithms. Using magic connection between these diagrams and two-loop massive vacuum diagrams, the epsilon-expansion of the latter is also obtained, for arbitrary values of the masses. The problem of analytic continuation is also discussed.
Addition of a fixed combination of brinzolamide 1%/timolol 0.5% to prostaglandin monotherapy in patients with glaucoma or ocular hypertension
2011
Katrin Lorenz1, Klaus Rosbach2, Andreas Matt3, Norbert Pfeiffer11University Medical Center, Johannes Gutenberg-Universität Mainz, Mainz, Germany; 2Private practice, Mainz, Germany; 3Private practice, Köln-Hohenhaus, GermanyBackground: This study was conducted to evaluate the safety and efficacy of adding a fixed combination of brinzolamide 1%/timolol 0.5% to prostaglandin analog (PGA) monotherapy in patients with primary open-angle glaucoma, pigment dispersion glaucoma, or ocular hypertension who require additional intraocular pressure (IOP) reduction.Methods: This was a prospective, multicenter (n = 5), open-label, single-arm, Phase IV clinical trial in which patients cur…
Landis-type conjecture for the half-Laplacian
2023
In this paper, we study the Landis-type conjecture, i.e., unique continuation property from infinity, of the fractional Schrödinger equation with drift and potential terms. We show that if any solution of the equation decays at a certain exponential rate, then it must be trivial. The main ingredients of our proof are the Caffarelli-Silvestre extension and Armitage’s Liouville-type theorem. peerReviewed
Quantitative uniqueness estimates for pp-Laplace type equations in the plane
2016
Abstract In this article our main concern is to prove the quantitative unique estimates for the p -Laplace equation, 1 p ∞ , with a locally Lipschitz drift in the plane. To be more precise, let u ∈ W l o c 1 , p ( R 2 ) be a nontrivial weak solution to div ( | ∇ u | p − 2 ∇ u ) + W ⋅ ( | ∇ u | p − 2 ∇ u ) = 0 in R 2 , where W is a locally Lipschitz real vector satisfying ‖ W ‖ L q ( R 2 ) ≤ M for q ≥ max { p , 2 } . Assume that u satisfies certain a priori assumption at 0. For q > max { p , 2 } or q = p > 2 , if ‖ u ‖ L ∞ ( R 2 ) ≤ C 0 , then u satisfies the following asymptotic estimates at R ≫ 1 inf | z 0 | = R sup | z − z 0 | 1 | u ( z ) | ≥ e − C R 1 − 2 q log R , where C > 0 depends …
Behavioral profile of intermittent vs continuous access to a high fat diet during adolescence
2018
Abstract Over the past few years, the effects of a high-fat diet (HFD) on cognitive functions have been broadly studied as a model of obesity, although no studies have evaluated whether these effects are maintained after the cessation of this diet. In addition, the behavioral effects of having a limited access to an HFD (binge-eating pattern) are mostly unknown, although they dramatically increase the vulnerability to drug use in contrast to having continuous access. Thus, the aim of the present study was to compare the effects of an intermittent versus a continuous exposure to an HFD during adolescence on cognition and anxiety-like behaviors, as well as to study the changes observed after …
Sustained virological response to interferon-alpha is associated with improved outcome in HCV-related cirrhosis: a retrospective study
2007
The effect of achieving a sustained virological response (SVR) following interferon-α (IFNα) treatment on the clinical outcomes of patients with HCV-related cirrhosis is unknown. In an attempt to assess the risk of liver-related complications, HCC and liver-related mortality in patients with cirrhosis according to the response to IFNα treatment, a retrospective database was developed including all consecutive patients with HCV-related, histologically proven cirrhosis treated with IFNα monotherapy between January 1992 and December 1997. SVR was an undetectable serum HCV-RNA by PCR 24 weeks after IFNα discontinuation. HCC was assessed by ultrasound every 6 months. Independent predictors of al…
Efficacy and safety of direct-acting antiviral therapy in previous hard-to-treat patients with recurrent hepatitis C virus infection after liver tran…
2017
Sebastian Bernuth,1 Daniel Grimm,1 Johanna Vollmar,1 Felix Darstein,1 Jens Mittler,2 Michael Heise,2 Maria Hoppe-Lotichius,2 Peter R Galle,1 Hauke Lang,2 Tim Zimmermann1 1First Department of Internal Medicine, Transplant Hepatology, 2General-, Abdominal- and Transplant- Surgery, University Medical Center, Johannes Gutenberg University, Mainz, Germany Background: Recurrent hepatitis C virus (HCV) infection after liver transplantation (LT) has been a frequent and relevant problem in the past two decades. This analysis evaluated the efficacy and safety of new interferon (IFN)-free direct-acting antiviral (DAA) therapies in a large real-world cohort of HCV patients after LT.Methods: We retrospe…
High efficacy and safety of triple therapy in HCV genotype 1 and moderate fibrosis: a multicenter study of clinical practice in Spain.
2015
Background and rational. Telaprevir-based therapy (TBT) has been extensively evaluated in clinical trials. So we designed a study to compare the efficacy and safety of TBT between patients with moderate fibrosis and those suffering from advanced fibrosis in clinical practice. A multicenter observational and ambispective study was conducted. It included 582 patients with chronic hepatitis C genotype 1, 214 with fibrosis F2, and 368 with F3/F4 (F3: 148; F4: 220). Results. The mean patient age was 55 years, 67% male. Type of prior response was 22% naive, 57% relapsers, and 21% partial/null responders, 69% had high viral load (> 800,000 IU/mL). HCV genotypes were 1a (19%), 1b (69%), and 1 (12%)…
Sustained virologic response prevents the development of esophageal varices in compensated, Child-Pugh class A hepatitis C virus-induced cirrhosis. A…
2010
The incidence of de novo development of esophageal varices (EV) in patients with compensated liver cirrhosis has been determined by few studies in the short term and never in the long term. The aims of the present study were to determine the incidence and the risk factors associated with the development of EV and to assess whether antiviral treatment and achievement of sustained virologic response (SVR) may prevent de novo EV development in patients with HCV-induced cirrhosis. We studied 218 patients with compensated EV-free, HCV-induced cirrhosis consecutively enrolled between 1989 and 1992 at three referral centers in Milan, Italy. Endoscopic surveillance was performed at 3-year intervals…