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Related papers: Probing finite size effects in $(\lambda \Phi^4)_4…

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We present the first analytic study of finite-size effects on critical diffusion above and below T_c of three-dimensional Ising-like systems whose order parameter is coupled to a conserved density. We also calculate the finite-size…

Statistical Mechanics · Physics 2009-10-31 Wolfgang Koch , Volker Dohm

We compare predictions of the Capillary Wave Model with Monte Carlo results for the energy gap and the interface energy of the 3D Ising model in the scaling region. Our study reveals that the finite size effects of these quantities are well…

High Energy Physics - Lattice · Physics 2009-10-22 M. Caselle , F. Gliozzi , R. Fiore , M. Hasenbusch , K. Pinn , S. Vinti

Recent lattice data for the effective potential of lambda Phi^4 theory fits the massless one-loop formula with amazing precision. Any corrections are at least 100 times smaller than is reasonable, perturbatively. This is strong evidence for…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. M. Stevenson

The long-range electromagnetic interaction presents a challenge for numerical computations in QCD + QED. In addition to power-law finite volume effects, the standard lattice gauge theory approach introduces non-locality through removal of…

High Energy Physics - Lattice · Physics 2016-02-17 Jong-Wan Lee , Brian C. Tiburzi

We present a systematic and comprehensive study of finite-size effects in diffusion quantum Monte Carlo calculations of metals. Several previously introduced schemes for correcting finite-size errors are compared for accuracy and efficiency…

Materials Science · Physics 2016-08-23 Sam Azadi , Matthew Foulkes

We consider the problem of extrapolating the perturbation series for the dilute Fermi gas in three dimensions to the unitary limit of infinite scattering length and into the BEC region, using the available strong-coupling information to…

Quantum Gases · Physics 2021-04-27 Corbinian Wellenhofer , Daniel R. Phillips , Achim Schwenk

In this letter we investigate the finite size scaling effect on SLE($\kappa,\rho$) and boundary conformal field theories and find the effect of fixing some boundary conditions on the free energy per length of SLE($\kappa,\rho$). As an…

High Energy Physics - Theory · Physics 2007-05-23 M. A. Rajabpour , S. Moghimi-Araghi

We present a self-consistent calculation of the finite temperature effective potential for $\lambda \Phi^4$ theory in four dimensions using a composite operator effective action. We find that in a spontaneously broken theory not only the…

High Energy Physics - Phenomenology · Physics 2008-02-03 Herbert Nachbagauer

The method of the effective action for the composite operators $\Phi^2(x)$ and $\Phi^4(x)$ is applied to the termodynamics of the scalar quantum field with $\lambda\Phi^4$ interaction. An expansion of the finite temperature effective…

High Energy Physics - Theory · Physics 2015-06-26 Anna Okopińska

A Hamiltonian effective potential (the logarithm of the square of the wave functional) is defined and calculated at the tree and one loop levels in a $\phi^4$ scalar field theory. The loop expansion for eigenfunctionals is equivalent to the…

High Energy Physics - Phenomenology · Physics 2009-10-22 Beth Basista , Peter Suranyi

An off-lattice Monte Carlo algorithm for solutions of equilibrium polymers (EP) is proposed. At low and moderate densities this is shown to reproduce faithfully the (static) properties found recently for flexible linear EP using a lattice…

Statistical Mechanics · Physics 2009-10-31 A. Milchev , J. P. Wittmer , D. P. Landau

We analyze the extrapolation to the thermodynamic limit of Fermi liquid properties of the homogeneous electron gas in two and three dimensions. Using field theory, we explicitly calculate finite-size effects of the total energy, the…

Strongly Correlated Electrons · Physics 2016-03-15 Markus Holzmann , Bernard Bernu , David M. Ceperley

Lattice regularization is used to perform chiral perturbation theory calculations in finite volume. The lattice spacing is chosen small enough to be irrelevant, and numerical results are obtained from simple summations.

High Energy Physics - Lattice · Physics 2009-11-10 Bugra Borasoy , Randy Lewis , Daniel Mazur

Properties of space-like monopoles projected on the 3D space in finite temperature quenched SU(2) QCD are studied. The monopole energy is derived from the effective action of the monopoles which is determined by an inverse Monte-Carlo…

High Energy Physics - Lattice · Physics 2009-11-10 Tsuneo Suzuki , M. N. Chernodub , Katsuya Ishiguro

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

The Effective Sample Size (ESS) is an important measure of efficiency of Monte Carlo methods such as Markov Chain Monte Carlo (MCMC) and Importance Sampling (IS) techniques. In the IS context, an approximation $\widehat{ESS}$ of the…

Computation · Statistics 2016-09-27 L. Martino , V. Elvira , F. Louzada

We present a relativistic and model-independent method to derive structure-dependent electromagnetic finite-size effects. This is a systematic procedure, particularly well-suited for automatization, which works at arbitrarily high orders in…

High Energy Physics - Lattice · Physics 2021-11-19 M. Di Carlo , M. T. Hansen , N. Hermansson-Truedsson , A. Portelli

We investigate the finite size effect on pseudoscalar meson masses and decay constants using a subset of the "PACS10" configurations which are generated keeping the space-time volumes over (10 fm$)^4$ in 2+1 flavor QCD at the physical…

High Energy Physics - Lattice · Physics 2019-01-10 K. -I. Ishikawa , N. Ishizuka , Y. Kuramashi , Y. Nakamura , Y. Namekawa , Y. Taniguchi , N. Ukita , T. Yamazaki , T. Yoshie

We compute the effective potential for $\phi^4$ theory with a squeezed coherent state type of construct for the ground state. The method essentially consists in optimising the basis at zero and finite temperatures. The gap equation becomes…

High Energy Physics - Phenomenology · Physics 2008-11-26 Amruta Mishra , Hiranmaya Mishra

We calculate the explicit expression of the effective potential in a $\lambda\phi^4$ theory at finite temperature in a static universe for arbitrary spacetime dimensions (2\leq D < 5). To study the combined effects of the temperature and…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Hattori , M. Hayashi , T. Inagaki , Y. Kitadono