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Related papers: Finite size corrections in massive Thirring model

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We find explicit expressions for two first finite size corrections to the distribution of Bethe roots, the asymptotics of energy and high conserved charges in the sl(2) quantum Heisenberg spin chain of length J in the thermodynamical limit…

High Energy Physics - Theory · Physics 2009-11-11 Nikolay Gromov , Vladimir Kazakov

The symmetric simple exclusion process is one of the simplest out-of-equilibrium systems for which the steady state is known. Its large deviation functional of the density has been computed in the past both by microscopic and macroscopic…

Statistical Mechanics · Physics 2015-06-15 B. Derrida , M. Retaux

The finite-size spectrum of the critical staggered six-vertex model with antidiagonal boundary conditions is studied. Similar to the case of periodic boundary conditions, we identify three different phases. In two of those, the underlying…

High Energy Physics - Theory · Physics 2024-08-22 Holger Frahm , Sascha Gehrmann

We studied the finite-size giant magnons in $\text{AdS}_4\times\text{CP}^3_{\beta}$ background using the classical spectral curve constructed in this paper. We computed the finite-size corrections to the dispersion relations for the $RP^3$…

High Energy Physics - Theory · Physics 2021-10-12 Hui-Huang Chen , Jun-Bao Wu

We propose a general procedure for extracting the running coupling constants of the underlying field theory of a given classical statistical model on a two-dimensional lattice, combining tensor network renormalization (TNR) and the…

Statistical Mechanics · Physics 2024-02-26 Atsushi Ueda , Masaki Oshikawa

We investigate critical slowing down in the local updating continuous-time Quantum Monte Carlo method by relating the finite size scaling of Fisher Zeroes to the dynamically generated gap, through the scaling of their respective critical…

High Energy Physics - Lattice · Physics 2009-11-10 P. R. Crompton , W. Janke , Z. X. Xu , H. P. Ying

The AdS/CFT conjecture offers the possibility of a quantum description for a black hole in terms of a CFT. This has led to the study of general AdS^3 type black holes with a view to constructing an explicit toy quantum black hole model.…

High Energy Physics - Theory · Physics 2014-11-20 Kumar S. Gupta , E. Harikumar , Siddhartha Sen , M. Sivakumar

We introduce an effective field theory approach that describes the motion of finite size objects under the influence of electromagnetic fields. We prove that leading order effects due to the finite radius $R$ of a spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Chad R. Galley , Adam K. Leibovich , Ira Z. Rothstein

The massive Schwinger model is studied, using a density matrix renormalization group approach to the staggered lattice Hamiltonian version of the model. Lattice sizes up to 256 sites are calculated, and the estimates in the continuum limit…

High Energy Physics - Lattice · Physics 2009-11-07 T. Byrnes , P. Sriganesh , R. J. Bursill , C. J. Hamer

We compute finite-size corrections to dyonic giant magnons in two ways. One is by examining the asymptotic behavior of helical strings of hep-th/0609026 as elliptic modulus k goes to unity, and the other is by applying the generalized…

High Energy Physics - Theory · Physics 2008-11-26 Yasuyuki Hatsuda , Ryo Suzuki

We note that the standard inverse system volume scaling for finite-size corrections at a first-order phase transition (i.e., 1/L^3 for an L x L x L lattice in 3D) is transmuted to 1/L^2 scaling if there is an exponential low-temperature…

Statistical Mechanics · Physics 2014-05-22 Marco Mueller , Wolfhard Janke , Desmond A. Johnston

We use the algebraic curve and Luscher's mu-term to calculate the leading order finite size corrections to the dispersion relation of giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3. We consider a single magnon as well as one…

High Energy Physics - Theory · Physics 2008-12-25 Tomasz Lukowski , Olof Ohlsson Sax

The critical point of a topological phase transition is described by a conformal field theory, where finite-size corrections to energy are uniquely related to its central charge. We investigate the finite-size scaling away from criticality…

Statistical Mechanics · Physics 2016-01-18 Tobias Gulden , Michael Janas , Yuting Wang , Alex Kamenev

In this work, we have shown the important role of the finite-size correction to the work function in predicting the correct positions of the centroid of excess charge in positively charged simple metal clusters with different $r_s$ values…

Condensed Matter · Physics 2007-05-23 M. Payami

We investigate the finite-size-scaling (FSS) behavior of the leading Fisher zero of the partition function in the complex temperature plane in the $p$-state clock models of $p=5$ and $6$. We derive the logarithmic finite-size corrections to…

Statistical Mechanics · Physics 2020-01-23 Seongpyo Hong , Dong-Hee Kim

A typical problem with Monte Carlo simulations in statistical physics is that they do not allow for a direct calculation of the free energy. For systems at criticality, this means that one cannot calculate the central charge in a Monte…

Statistical Mechanics · Physics 2009-10-30 Paul J. M. Bastiaansen , Hubert J. F. Knops

A Microcanonical Finite Site Ansatz in terms of quantities measurable in a Finite Lattice allows to extend phenomenological renormalization (the so called quotients method) to the microcanonical ensemble. The Ansatz is tested numerically in…

Statistical Mechanics · Physics 2009-11-28 L. A. Fernández , A. Gordillo-Guerrero , V. Martín-Mayor , J. J. Ruiz-Lorenzo

We study the influence of boundary conditions on the finite-size corrections of a one-dimensional (1D) quantum spin model by exact and perturbative theoretic calculations. We obtain two new infinite sets of universal amplitude ratios for…

Statistical Mechanics · Physics 2015-05-18 N. Sh. Izmailian , Chin-Kun Hu

We reexamine the range of validity of finite-size scaling in the $\phi^4$ lattice model and the $\phi^4$ field theory below four dimensions. We show that general renormalization-group arguments based on the renormalizability of the $\phi^4$…

Statistical Mechanics · Physics 2009-10-31 X. S. Chen , V. Dohm

We investigate the corrections to scaling of the Renyi entropies of a region of size l at the end of a semi-infinite one-dimensional system described by a conformal field theory when the corrections come from irrelevant boundary operators.…

Statistical Mechanics · Physics 2011-02-02 Erik Eriksson , Henrik Johannesson