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We present the results of a finite-size analysis of the four dimensional abelian surface gauge model. This model is defined assigning abelian variables to the plaquettes of an hypercubical lattice, and is dual to the four dimensional Ising…

High Energy Physics - Lattice · Physics 2009-10-22 M. Baig , R. Villanova

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

We study, in the quenched approximation, Luescher's relation between pion scattering lengths and the finite-volume energy of two pions at rest. The quenched relation is drastically different from the full theory one; in particular,…

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

We investigate the critical scaling behavior of finite systems in the canonical ensemble. The essential difference with the grand canonical ensemble. i.e., the constraint on the number of particles, is already known to lead to the Fisher…

Statistical Mechanics · Physics 2007-05-23 Youjin Deng , Henk W. J. Blote

Using single cluster flip Monte Carlo simulations we accurately determine new finite size scaling functions which are expressed only in terms the variable $x = \xi_L / L$, where $\xi_L$ is the correlation length in a finite system of size…

Condensed Matter · Physics 2009-10-28 Jae-Kwon Kim , Adauto J. F. de Souza\cite{addr} , D. P. Landau

We investigate quantitative estimates in periodic homogenization of second-order elliptic systems of elasticity with singular fourth-order perturbations. The convergence rates, which depend on the scale $\kappa$ that represents the strength…

Analysis of PDEs · Mathematics 2020-05-27 Weisheng Niu , Zhongwei Shen

We have examined the behavior of the compressibility, the dc-conductivity, the single-particle gap, and the Drude weight as probes of the density-driven metal-insulator transition in the Hubbard model on a square lattice. These quantities…

Strongly Correlated Electrons · Physics 2012-03-27 Rubem Mondaini , K. Bouadim , Thereza Paiva , Raimundo R. dos Santos

This paper introduces new notions of Fubini independence and Exponential independence of random variables under capacities to fit Ellsberg's model, and finds out the relations between Fubini independence, Exponential independence,…

Probability · Mathematics 2018-11-15 Weihuan Huang , Yiwei Lin

In Carrasco et al. we have recently proposed a method to calculate $O(e^2)$ electromagnetic corrections to leptonic decay widths of pseudoscalar mesons. The method is based on the observation that the infrared divergent contributions (that…

High Energy Physics - Lattice · Physics 2021-09-15 N. Tantalo , V. Lubicz , G. Martinelli , C. T. Sachrajda , F. Sanfilippo , S. Simula

We construct a weakly compact convex subset of $\ell^2$ with nonempty interior that has an isolated maximal element, with respect to the lattice order $\ell _+^2$. Moreover, the maximal point cannot be supported by any strictly positive…

Functional Analysis · Mathematics 2024-07-19 Aris Daniilidis , Carlo de Bernardi , Enrico Miglierina

We consider electromagnetic finite-volume effects through order $1/L^3$ in different formulations of QED, where $L$ is the periodicity of the spatial volume. An inherent problem at this order is the appearance of structure-dependent…

High Energy Physics - Lattice · Physics 2023-10-23 Matteo Di Carlo , Maxwell T. Hansen , Nils Hermansson-Truedsson , Antonin Portelli

We revisit the most general effective lagrangian within Chiral Perturbation Theory at nonzero isospin chemical potential. In addition to the contributions already considered in the literature, we discuss the effects of new terms allowed by…

High Energy Physics - Phenomenology · Physics 2022-12-28 Angel Gómez Nicola , Andrea Vioque-Rodríguez

When a fluid is constrained to a fixed, finite volume, the conditions for liquid-vapor equilibrium are different from the infinite volume or constant pressure cases. There is even a range of densities for which no bubble can form, and the…

Chemical Physics · Physics 2023-09-19 Frédéric Caupin

We present a detailed numerical study of finite volume effects for masses and decay constants of the octet of pseudoscalar mesons. For this analysis we use chiral perturbation theory and asymptotic formulae a la Luscher and propose an…

High Energy Physics - Lattice · Physics 2011-05-05 Gilberto Colangelo , Stephan Durr , Christoph Haefeli

In theories with spontaneous symmetry breaking, the loop expansion of the effective potential is awkward. In such theories, the exact effective potential $V(\phi_c,T)$ is real and convex (as a function of the classical field $\phi_c$), but…

High Energy Physics - Phenomenology · Physics 2009-10-22 Kevin Cahill

We use structural information from diffusion Monte Carlo calculations for two--dimensional 3He to calculate the effective mass. Static effective interactions are constructed from the density-- and spin structure functions using sumrules. We…

Statistical Mechanics · Physics 2009-11-10 J. Boronat , J. Casulleras , V. Grau , E. Krotscheck , J. Springer

We present a systematic investigation of the special twist method introduced by Rajagopal $\textit{et al.}$ [ Phys. Rev. B 51, 10591 (1995) ] for reducing finite-size effects in correlated calculations of periodic extended systems with…

Strongly Correlated Electrons · Physics 2016-12-14 M. Dagrada , S. Karakuzu , V. L. Vildosola , M. Casula , S. Sorella

We present a new and efficient method for deriving finite-size effects in statistical physics models solvable by Bethe Ansatz. It is based on the study of the functional that maps a function to the sum of its evaluations over the Bethe…

Mathematical Physics · Physics 2018-09-28 Etienne Granet , Jesper Lykke Jacobsen , Hubert Saleur

The influence of finite size effects, choice of statistical ensemble and contribution of the forces in numerical simulations using the dissipative particle dynamics (DPD) model are revisited here. Finite size effects in stress anisotropy,…

Soft Condensed Matter · Physics 2016-12-08 Miguel Ángel Balderas Altamirano , Elías Pérez , Armando Gama Goicochea

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