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The Bethe ansatz equations of the 1-D Hubbard model under open boundary conditions are systematically derived by diagonalizing the inhomogeneous transfer matrix of the XXX model with open boundaries. Through the finite-size correction, we…

Strongly Correlated Electrons · Physics 2008-02-03 Tetsuo Deguchi , Ruihong Yue

We study finite size effects for the gap of the quasiparticle excitation spectrum in the weakly interacting regime one-dimensional Hubbard model with on-site attraction. Two type of corrections to the result of the thermodynamic limit are…

Strongly Correlated Electrons · Physics 2009-12-08 M. Colomé-Tatché , S. I. Matveenko , G. V. Shlyapnikov

We propose a new entry within the dictionary of the AdS/CFT duality at strong coupling: in the limit of a large spin or a large R-charge, the anomalous dimension of the gauge theory operator dual to a semiclassical rotating string is…

High Energy Physics - Theory · Physics 2015-06-19 Nelson R. F. Braga , Edmond Iancu

Finite-size quantum spin systems can be magnetized by the application of a symmetry-breaking field, but in general their symmetry is expected to be restored once the field is turned off adiabatically. Recently (F. Caleca et al.,…

Strongly Correlated Electrons · Physics 2025-11-18 Filippo Caleca , Saverio Bocini , Fabio Mezzacapo , Tommaso Roscilde

We consider finite-size effects for the dyonic giant magnon of the type IIA string theory on AdS_4 x CP^3 by applying Luscher mu-term formula which is derived from a recently proposed S-matrix for the N=6 super Chern-Simons theory. We…

High Energy Physics - Theory · Physics 2011-04-28 Changrim Ahn , P. Bozhilov

We discuss the origin of the finite size error of the energy in many-body simulation of systems of charged particles and we propose a correction based on the random phase approximation at long wave lengths. The correction comes from…

Other Condensed Matter · Physics 2009-11-11 Simone Chiesa , David M. Ceperley , Richard M. Martin , Markus Holzmann

The structure of stringy quantum corrections to four-dimensional effective theories is particularly interesting for string phenomenology and attempts to stabilize moduli. We consider the heterotic string compactified on a Calabi-Yau space.…

High Energy Physics - Theory · Physics 2014-12-19 Lilia Anguelova , Callum Quigley , Savdeep Sethi

We consider the 1-loop correction to the energy of folded spinning string solution in the AdS_3 part of AdS_5 x S^5. The classical string solution is expressed in terms of elliptic functions so an explicit computation of the corresponding…

High Energy Physics - Theory · Physics 2015-03-13 M. Beccaria , G. V. Dunne , V. Forini , M. Pawellek , A. A. Tseytlin

We study the class of pulsating strings in AdS_5 x T^{1,1}. Using a generalized ansatz for pulsating string configurations we find new solutions of this class. Further we semiclassically quantize the theory and obtain the first correction…

High Energy Physics - Theory · Physics 2015-05-19 D. Arnaudov , H. Dimov , R. C. Rashkov

We initiate the computation of the 2-loop quantum AdS_5 x S^5 string corrections on the example of a certain string configuration in S^5 related by an analytic continuation to a folded rotating string in AdS_5 in the ``long string'' limit.…

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

Extending the recent work in hep-th/9803076, we consider string perturbative expansion in the presence of D-branes and orientifold planes imbedded in orbifolded space-time. In the $\alpha'\to 0$ limit the weak coupling string perturbative…

High Energy Physics - Theory · Physics 2009-10-31 Zurab Kakushadze

Finite size effects for the Ising Model coupled to two dimensional random surfaces are studied by exploiting the exact results from the 2-matrix models. The fixed area partition function is numerically calculated with arbitrary precision by…

High Energy Physics - Theory · Physics 2009-10-28 N. D. Hari Dass , B. E. Hanlon , T. Yukawa

We carry out a systematic study of the effective bosonic string describing confining flux tubes in $\mathrm{SU}(N)$ Yang--Mills theories in three spacetime dimensions. While their low-energy properties are known to be universal and are…

High Energy Physics - Lattice · Physics 2024-09-04 Michele Caselle , Nicodemo Magnoli , Alessandro Nada , Marco Panero , Dario Panfalone , Lorenzo Verzichelli

We consider string perturbative expansion in the presence of D-branes imbedded in orbifolded space-time. In the regime where the string coupling is weak and $\alpha'\to 0$, the string perturbative expansion coincides with `t Hooft's large N…

High Energy Physics - Theory · Physics 2009-10-31 Michael Bershadsky , Zurab Kakushadze , Cumrun Vafa

We consider graviton scattering in maximal supergravity on Anti-de Sitter space (AdS) in $d+1$ dimensions for $d=3,4,\text{and $6$}$ with no extra compact spacetime factor. Holography suggests that this theory is dual to an exotic maximally…

High Energy Physics - Theory · Physics 2022-11-30 Luis F. Alday , Shai M. Chester

We address the question of weak versus strong universality scenarios for the random-bond Ising model in two dimensions. A finite-size scaling theory is proposed, which explicitly incorporates $\ln L$ corrections ($L$ is the linear finite…

Statistical Mechanics · Physics 2008-02-03 F. D. A. Aarao Reis , S. L. A. de Queiroz , Raimundo R. dos Santos

We discuss finite-size effects in one disordered ${\lambda}{\phi}^{4}$ model defined in a $d$-dimensional Euclidean space. We consider that the scalar field satisfies periodic boundary conditions in one dimension and it is coupled with a…

Statistical Mechanics · Physics 2016-12-21 R. Acosta Diaz , N. F. Svaiter

Based on the exact solution of the eigenvalue problem for the $U_q[sl(2|1)]$ vertex model built from alternating 3-dimensional fundamental and dual representations by means of the algebraic Bethe ansatz we investigate the ground state and…

Statistical Mechanics · Physics 2015-03-17 Holger Frahm , Marcio J. Martins

We study the finite-size corrections of the dimer model on $\infty \times N$ square lattice with two different boundary conditions: free and periodic. We find that the finite-size corrections depend in a crucial way on the parity of $N$,…

Statistical Mechanics · Physics 2008-04-24 Nickolay Sh. Izmailian , Vyatcheslav B. Priezzhev , Philippe Ruelle

We briefly review the status quo of the application of integrable systems techniques to the AdS/CFT correspondence in the large charge approximation, a rapidly evolving topic. Intricate string and gauge computations of, respectively,…

High Energy Physics - Theory · Physics 2007-05-23 G. Arutyunov , M. Staudacher