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We develop a method to calculate the contribution of the saddle-point fluctuations to the partition function of systems soluble by the Bethe Ansatz. Using this method we give the O(1) corrections to the free energy of the 1D repulsive delta…

Statistical Mechanics · Physics 2009-11-10 F. Woynarovich

We study the effects of frozen boundaries in a Monte Carlo simulation near a first order phase transition. Recent theoretical analysis of the dynamics of first order phase transitions has enabled to state the scaling laws governing the…

High Energy Physics - Lattice · Physics 2009-11-07 M. Baig , R. Villanova

We compute the boundary energy and the Casimir energy for both the spin-1/2 XXZ quantum spin chain and (by means of the light-cone lattice construction) the massive sine-Gordon model with both left and right boundaries. We also derive a…

High Energy Physics - Theory · Physics 2015-06-26 Changrim Ahn , Rafael I. Nepomechie

We consider two non-interacting infinite quantum spin chains immersed in a common thermal environment and undergoing a local dissipative dynamics of Lindblad type. We study the time evolution of collective mesoscopic quantum spin…

Quantum Physics · Physics 2016-07-12 Fabio Benatti , Federico Carollo , Roberto Floreanini

An expansion of energy characteristics of wide thin slab of thickness L in power of 1/L is constructed using the free-electron approximation and the model of a potential well of finite depth. Accuracy of results in each order of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 V. V. Pogosov , V. P. Kurbatsky , E. V. Vasyutin

We develop a statistical theory for the dynamics of non-aligning, non-interacting self-propelled particles confined in a convex box in two dimensions. We find that when the size of the box is small compared to the persistence length of a…

Soft Condensed Matter · Physics 2014-08-05 Yaouen Fily , Aparna Baskaran , Michael F. Hagan

The ground-state energy of integrably-twisted theories is analyzed in finite volume. We derive the leading and next-to-leading order (NLO) L\"uscher-type corrections for large volumes of the vacuum energy for integrable theories with…

High Energy Physics - Theory · Physics 2015-05-30 Changrim Ahn , Zoltan Bajnok , Diego Bombardelli , Rafael I. Nepomechie

In 2006 Quesne and Tkachuk (J. Phys. A: Math. Gen. {\bf 39}, 10909, 2006) introduced a (D+1)-dimensional $(\beta,\beta')$-two-parameter Lorentz-covariant deformed algebra which leads to a nonzero minimal length. In this work, the Lagrangian…

High Energy Physics - Theory · Physics 2015-05-28 S. K. Moayedi , M. R. Setare , H. Moayeri

We have used a combination of neutron resonant spin-echo and triple-axis spectroscopies to determine the energy, fine structure, and linewidth of the magnon resonance in the model spin-1/2 ladder antiferromagnet IPA-CuCl_3 at temperatures T…

Strongly Correlated Electrons · Physics 2015-03-18 B. Náfrádi , T. Keller , H. Manaka , A. Zheludev , B. Keimer

We report the results of a Monte Carlo study of the continuum limit of the two dimensional O(3) non-linear $\sigma$ model. The notable finding is that it agrees very well with both the prediction inspired by Zamolodchikovs' S-matrix ansatz…

High Energy Physics - Lattice · Physics 2009-10-30 Adrian Patrascioiu , Erhard Seiler

In a previous Letter, we showed that physical scattering observables for compact spinning objects in general relativity can depend on additional degrees of freedom in the spin tensor beyond those described by the spin vector alone. In this…

High Energy Physics - Theory · Physics 2025-12-22 Mark Alaverdian , Zvi Bern , Dimitrios Kosmopoulos , Andres Luna , Radu Roiban , Trevor Scheopner , Fei Teng

We gain insight on the fixed point dynamics of $d$ dimensional quantum field theories by exploiting the critical behavior of the $d-\epsilon$ sister theories. To this end we first derive a self-consistent relation between the $d-\epsilon$…

High Energy Physics - Phenomenology · Physics 2025-04-09 Oleg Antipin , Alan Pinoy , Francesco Sannino , Shahram Vatani

We investigate the thermodynamic limit of the inhomogeneous T-Q relation of the antiferromagnetic XXZ spin chain with antiperiodic boundary condition. It is shown that the contribution of the inhomogeneous term at the ground state can be…

Mathematical Physics · Physics 2018-10-18 Zhirong Xin , Yi Qiao , Kun Hao , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

We study a random permutation of a lattice box in which each permutation is given a Boltzmann weight with energy equal to the total Euclidean displacement. Our main result establishes the band structure of the model as the box-size $N$…

Probability · Mathematics 2020-12-14 Yan V. Fyodorov , Stephen Muirhead

Multicanonical ensemble simulations for the simulation of first-order phase transitions suffer from exponential slowing down. Monte Carlo autocorrelation times diverge exponentially with free energy barriers $\Delta F$, which in $L^d$ boxes…

Statistical Mechanics · Physics 2007-05-23 Thomas Neuhaus , Johannes S. Hager

We study the out-of-equilibrium spinodal-like dynamics of three-dimensional $q$-state Potts systems driven across their thermal first-order transition in the thermodynamic limit, by a relaxational (heat-bath) dynamics. During the evolution,…

Statistical Mechanics · Physics 2026-03-17 Andrea Pelissetto , Davide Rossini , Ettore Vicari

We study the critical behavior of frustrated spin models with noncollinear order in two dimensions, including antiferromagnets on a triangular lattice and fully frustrated antiferromagnets. For this purpose we consider the corresponding…

Statistical Mechanics · Physics 2009-11-07 Pasquale Calabrese , Pietro Parruccini

We study phase transitions and the nature of order in a class of classical generalized $O(N)$ nonlinear $\sigma$-models (NLS) constructed by minimally coupling pure NLS with additional degrees of freedom in the form of (i) Ising…

Statistical Mechanics · Physics 2015-12-23 Tirthankar Banerjee , Niladri Sarkar , Abhik Basu

By using the results of a high-statistics (O(10^7) measurements) Monte Carlo simulation we test several predictions of perturbation theory on the O(n) non-linear sigma-model in 2 dimensions. We study the O(3) and O(8) models on large enough…

High Energy Physics - Lattice · Physics 2016-09-01 B. Alles , A. Buonanno , G. Cella

We consider a Hamiltonian system made of $N$ classical particles moving in two dimensions, coupled via an {\it infinite-range interaction} gauged by a parameter $A$. This system shows a low energy phase with most of the particles trapped in…

Statistical Mechanics · Physics 2009-11-07 Mickael Antoni , Stefano Ruffo , Alessandro Torcini
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