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The renormalization group method, more specifically the Wegner-Houghton equation, is used to find first order phase transitions in a simple scalar field theory with a polynomial potential. An improved definition of the running parameters…

高能物理 - 理论 · 物理学 2024-05-21 S. Nagy , J. Polonyi

An iterative procedure is developed with the aim of constructing homogeneity rules for the distribution P(rho,delta) of the particle density rho at resolution scale delta. A single iteration step consists of a change in the normalization…

高能物理 - 唯象学 · 物理学 2009-10-30 S. Hegyi

The quantum evolution equations for the field expectation value are analytically solved to cubic order in the field amplitude and to one-loop level in the lambda phi-fourth model. We adapt and use the renormalization group (RG) method for…

高能物理 - 理论 · 物理学 2009-10-30 H. J. de Vega , J. F. J. Salgado

The field theoretic renormalization group is applied to a simple model of random walk on a rough fluctuating surface. We consider the Fokker--Planck equation for a particle in a uniform gravitational field. The surface is modelled by the…

统计力学 · 物理学 2023-03-10 N. V. Antonov , N. M. Gulitskiy , P. I. Kakin , D. A. Kerbitskiy

We discuss structural aspects of the functional renormalisation group. Flows for a general class of correlation functions are derived, and it is shown how symmetry relations of the underlying theory are lifted to the regularised theory. A…

高能物理 - 理论 · 物理学 2010-04-06 Jan M. Pawlowski

We investigate a lattice Nambu--Jona-Lasinio model both by the Monte Carlo method and Schwinger-Dyson equations. A comparison allows the discussion of finite size effects and the extrapolation to infinite volume. We pay special attention to…

高能物理 - 格点 · 物理学 2008-11-26 A. Ali Khan , M. Goeckeler , R. Horsley , P. E. L. Rakow , G. Schierholz , H. Stueben

We study the exact renormalisation group flow for ultracold Fermi-gases in unitary regime. We introduce a pairing field to describe the formation of the Cooper pairs, and take a simple ansatz for the effective action. Set of approximate…

超导电性 · 物理学 2009-11-05 Boris Krippa

We derive a set of rotationally covariant amplitude equations for use in multiscale simulation of the two dimensional phase field crystal (PFC) model by a variety of renormalization group (RG) methods. We show that the presence of a…

斑图形成与孤子 · 物理学 2007-05-23 Badrinarayan P. Athreya , Nigel Goldenfeld , Jonathan A. Dantzig

The renormalization group is used to sum the leading-log (LL) contributions to the effective action for a large constant external gauge field in terms of the one-loop renormalization group (RG) function beta, the next-to-leading-log (NLL)…

高能物理 - 理论 · 物理学 2015-05-27 D. G. C. McKeon

We investigate the structure of renormalization constants within the MS-like renormalization prescriptions for a version of dimensional regularization in which the dimensionful regularization parameter $\Lambda$ differs from the…

高能物理 - 理论 · 物理学 2024-05-21 Nikolai Meshcheriakov , Victoria Shatalova , Konstantin Stepanyantz

For the general parametric regression models with covariates contaminated with normal measurement errors, this paper proposes an accelerated version of the classical simulation extrapolation algorithm to estimate the unknown parameters in…

统计方法学 · 统计学 2021-07-13 Kanwal Ayub , Weixing Song

In the presence of finite $U_A(1)$ breaking, chiral phase transition of massless two-flavor QCD is studied by tracing the renormalization group flow of the corresponding effective theory. In the framework of the $\epsilon$ expansion, it is…

高能物理 - 格点 · 物理学 2015-01-28 Tomomi Sato , Norikazu Yamada

We present a non-perturbative renormalization-group approach to the Bose-Hubbard model. By taking as initial condition of the RG flow the (local) limit of decoupled sites, we take into account both local and long-distance fluctuations in a…

量子气体 · 物理学 2011-06-03 A. Rancon , N. Dupuis

We reexamine the functional renormalization-group theory of wetting transitions. As a starting point of the analysis we apply an exact equation describing renormalization group flow of the generating functional for irreducible vertex…

统计力学 · 物理学 2015-05-30 P. Jakubczyk

The idea of the functional renormalization group and one-loop improved renormalization group flows are reviewed. The associated flow equations and nonperturbative approximations schemes for its solutions are discussed. These techniques are…

高能物理 - 唯象学 · 物理学 2008-12-18 Bernd-Jochen Schaefer , Jochen Wambach

Renormalization procedure is generalized to be applicable for non renormalizable theories. It is shown that introduction of an extra expansion parameter allows to get rid of divergences and express physical quantities as series of finite…

高能物理 - 理论 · 物理学 2008-02-03 J. Gegelia , G. Japaridze , N. Kiknadze , K. Turashvili

We study the relationship between the renormalization group and the diffusion equation. We consider the exact renormalization group equation for a scalar field that includes an arbitrary cutoff function and an arbitrary quadratic seed…

高能物理 - 理论 · 物理学 2021-03-09 Masami Matsumoto , Gota Tanaka , Asato Tsuchiya

We consider logarithmic contributions to the free energy, instanton effective action and Laplace sum rules in QCD that are a consequence of radiative corrections. Upon summing these contributions by using the renormalization group, all…

高能物理 - 唯象学 · 物理学 2017-06-16 F. A. Chishtie , D. G. C. McKeon

Using renormalization-group methods, differential equations can be obtained for the all-orders summation of leading and subsequent non-leading logarithmic corrections to QCD perturbative series for a number of processes and correlation…

高能物理 - 唯象学 · 物理学 2007-05-23 V. Elias

The non-conserved $\phi^4$ model defined by a Langevin equation with external non-white noise is studied by means of the Dynamic Renormalization Group. The correlation time of the noise changes the critical point location but does not…

凝聚态物理 · 物理学 2007-05-23 J. Garcia-Ojalvo , J. M. Sancho , H. Guo