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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

We compute the corrections to finite-size scaling for the N-vector model on the square lattice in the large-N limit. We find that corrections behave as log L/L^2. For tree-level improved hamiltonians corrections behave as 1/L^2. In general…

High Energy Physics - Lattice · Physics 2010-12-14 Sergio Caracciolo , Andrea Pelissetto

We study the (analytic) finite-size corrections in the Ising model on the strip with fixed ($+ -$) boundary conditions. We find that subdominant finite-size corrections to scaling should be to the form $a_k/N^{2k-1}$ for the free energy…

Statistical Mechanics · Physics 2015-05-30 N. Sh. Izmailian

We obtain the perturbative expansion of the free energy on $S^4$ for four dimensional Lagrangian ${\cal N}=2$ superconformal field theories, to all orders in the 't Hooft coupling, in the planar limit. We do so by using supersymmetric…

High Energy Physics - Theory · Physics 2024-07-12 Bartomeu Fiol , Jairo Martínez-Montoya , Alan Rios Fukelman

The anomalous dimensions of planar N=4 SYM theory operators like tr(Phi D^S Phi) expanded in large spin S have the asymptotics \gamma= f ln S + f_c + 1/S (f_11 ln S + f_10) + ..., where f (the universal scaling function or cusp anomaly),…

High Energy Physics - Theory · Physics 2009-07-13 M. Beccaria , V. Forini , A. Tirziu , A. A. Tseytlin

We analyze the finite-size corrections to the energy and specific heat of the critical two-dimensional spin-1/2 Ising model on a torus. We extend the analysis of Ferdinand and Fisher to compute the correction of order L^{-3} to the energy…

Statistical Mechanics · Physics 2008-11-26 J. Salas

The relativistic recoil contributions to the Uehling corrections are revisited. We consider a controversy in recent calculations based on different approaches including Breit-type and Grotch-type calculations. We have found that…

Atomic Physics · Physics 2013-05-30 Savely G. Karshenboim , Vladimir G. Ivanov , Evgeny Yu. Korzinin

The scaling dimensions of large operators in N=4 supersymmetric Yang-Mills theory are dual to energies of semiclassical strings in AdS(5)xS(5). At one loop, the dimensions of large operators can be computed with the help of Bethe ansatz and…

High Energy Physics - Theory · Physics 2009-11-10 Martin Lubcke , Konstantin Zarembo

We study four-dimensional $\mathcal N=2$ superconformal circular, cyclic symmetric quiver theories which are planar equivalent to $\mathcal N=4$ super Yang-Mills. We use localization to compute nonplanar corrections to the free energy and…

High Energy Physics - Theory · Physics 2023-12-13 M. Beccaria , G. P. Korchemsky

We study the simultaneous effect of finite volume and finite lattice spacing corrections in the framework of chiral perturbation theory (ChPT) in the epsilon regime, for both the Wilson and staggered formulations. In particular the finite…

High Energy Physics - Lattice · Physics 2012-12-18 Gernot Akemann , Fabrizio Pucci

We identify a regime of the AdS/CFT correspondence in which we can quantitatively match N=4 super Yang-Mills (SYM) for small 't Hooft coupling with weakly coupled type IIB string theory on AdS_5 x S^5. We approach this regime by taking the…

High Energy Physics - Theory · Physics 2011-06-02 Troels Harmark , Kristjan R. Kristjansson , Marta Orselli

Correlation functions of operators with a conformal dimension of O(N^2) are not well approximated by the planar limit. The non-planar diagrams, which in the bulk spacetime correspond to string loop corrections, are enhanced by huge…

High Energy Physics - Theory · Physics 2009-09-28 Robert de Mello Koch , Tanay K. Dey , Norman Ives , Michael Stephanou

We derive the analytical expression for the first finite size correction to the average free energy of disordered Ising models on random regular graphs. The formula can be physically interpreted as a weighted sum over all non…

Disordered Systems and Neural Networks · Physics 2014-08-04 Carlo Lucibello , Flaviano Morone , Giorgio Parisi , Federico Ricci-Tersenghi , Tommaso Rizzo

Recent work using a large-charge expansion for the $O(N)$ Wilson-Fisher conformal field theory has shown that the anomalous dimensions of large-charge operators can be expressed in terms of a few low-energy constants (LECs) of a…

High Energy Physics - Lattice · Physics 2022-03-02 Hersh Singh

We study semiclassical rotating strings in AdS/CFT backgrounds that exhibit both confinement and finite-size effects. The energy versus spin dispersion relation for short strings is the expected Regge trajectory behaviour, with the same…

High Energy Physics - Theory · Physics 2009-11-07 A. Armoni , J. L. F. Barbon , A. C. Petkou

We derive the perturbative four loop anomalous dimension of the Konishi operator in N=4 SYM theory from the integrable string sigma model by evaluating the finite size effects using Luscher formulas adapted to multimagnon states at weak…

High Energy Physics - Theory · Physics 2009-11-13 Zoltan Bajnok , Romuald A. Janik

A numerical study of the string tension and of the masses of the lowest-lying glueballs is performed in SU($N$) gauge theories for $2 \le N \le 8$ in D=3+1 and $2 \le N \le 6$ in D=2+1. It is shown that for the string tension a smooth $N…

High Energy Physics - Phenomenology · Physics 2009-11-10 Biagio Lucini

We investigate how L\"uscher's relation between the finite-volume energy of two pions at rest and pion scattering lengths has to be modified in quenched QCD. We find that this relation changes drastically, and in particular, that ``enhanced…

High Energy Physics - Lattice · Physics 2009-10-28 Claude Bernard , Maarten Golterman

We calculate the string tension, K, and some of the lightest glueball masses, M, in 3+1 dimensional SU(N) lattice gauge theories for N=2,3,4,5 . From the continuum extrapolation of the lattice values, we find that the mass ratios,…

High Energy Physics - Lattice · Physics 2010-02-03 B. Lucini , M. Teper

We compute the finite-size corrections to the free energy, internal energy and specific heat of the critical two-dimensional spin-1/2 Ising model on a triangular and hexagonal lattices wrapped on a torus. We find the general form of the…

Statistical Mechanics · Physics 2008-11-26 J. Salas