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In the O(N) model for the large N expansion one needs resummation which makes the renormalization of the model difficult. In the paper it is discussed, how can one perform a consistent perturbation theory at zero as well as at finite…

High Energy Physics - Phenomenology · Physics 2009-11-13 A. Jakovac

We calculate numerically the quasiparticle effective mass (m*) renormalization as a function of temperature and electron density in two- and three-dimensional electron systems with long-range Coulomb interaction. In two dimensions, the…

Strongly Correlated Electrons · Physics 2007-05-23 Ying Zhang , S. Das Sarma

Averaging certain class of quasiperiodic monotone operators can be simplified to the periodic homogenization setting by mapping the original quasiperiodic structure onto a periodic structure in a higher dimensional space using cut-and…

Analysis of PDEs · Mathematics 2023-06-21 Niklas Wellander , Sebastien Guenneau , Elena Cherkaev

Functional renormalization yields a simple unified description of bosons at zero temperature, in arbitrary space dimension $d$ and for $M$ complex fields. We concentrate on nonrelativistic bosons and an action with a linear time derivative.…

Superconductivity · Physics 2009-11-13 C. Wetterich

A self-consistent renormalization scheme at finite temperature and zero momentum is used together with the finite temperature renormalization group to study the temperature dependence of the mass and the coupling to one-loop order in the…

High Energy Physics - Phenomenology · Physics 2009-10-22 Per Elmfors

Fluctuations in a vast range of physical systems can be described as a superposition of uncorrelated pulses with a fixed shape, a process commonly referred to as a (generalized) shot noise or a filtered Poisson process. In this…

Data Analysis, Statistics and Probability · Physics 2023-05-09 Sajidah Ahmed , Odd Erik Garcia , Audun Theodorsen

The renormalization-group method is used to analyze the low-temperature behaviour of a two-dimentional, spin-$s$ quantum Heisenberg ferromagnet. A set of recursion equations is derived in an one-loop approximation. The low-temperature…

Condensed Matter · Physics 2009-10-28 Naoum Karchev

An optimized perturbation theory (OPT) at finite temperature T, which resums higher order terms in the naive perturbation, is developed in O(N) phi^4 theory. It is proved that (i) the renormalization of the ultra-violet divergences can be…

High Energy Physics - Phenomenology · Physics 2011-08-12 S. Chiku , T. Hatsuda

We introduce the method of dynamical renormalization group to study relaxation and damping out of equilibrium directly in real time and applied it to the study of infrared divergences in scalar QED. This method allows a consistent…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Boyanovsky , H. J. de Vega , R. Holman , M. Simionato

We study the time correlation function of a density field in two-dimensional driven diffusive systems within the framework of fluctuating hydrodynamics. It is found that the time correlation exhibits power-law behavior in an intermediate…

Statistical Mechanics · Physics 2009-03-02 Takenobu Nakamura , Michio Otsuki , Shin-ichi Sasa

Some probability distributions have moments, and some do not. For example, the normal distribution has power moments of arbitrary order, but the Cauchy distribution does not have power moments. In this paper, by analogy with the…

Probability · Mathematics 2022-05-20 Ping Zhang , Wen-Du Li , Wu-Sheng Dai

In the naive form of most resummations we get into conflict with order-by-order renormalization. We present a method that is capable to ensure UV consistency of any resummations satisfying certain conditions. The method is based on the…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Jakovac

Using resummation in perturbation theories at finite temperature or in non-equilibrium is unavoidable to obtain consistent results. Resummation, however, is often in conflict with renormalization. In this talk we give two possible solutions…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Jakovac , Zs. Szep

Inspired by the Kadanoff transformation in the standard renormalization group theory, we propose a temporal renormalization scheme. A Boltzmann factor that explicitly depends on the renormalized timescale is constructed, permitting…

Statistical Mechanics · Physics 2025-10-24 D. M. Zhang , D. Y. Sun , X. G. Gong

Dynamical heterogeneity and the decoupling of diffusion and structural relaxation in a supercooled liquid is investigated in terms of a time-dependent, fourth-order density correlation function. The generalized susceptibility $\chi_4(t)$…

Soft Condensed Matter · Physics 2007-05-23 S. C. Glotzer , V. N. Novikov , T. B. Schroeder

We show that time-correlation functions of arbitrary order for any random variable in a statistical dynamical system can be calculated as higher-order response functions of the mean history of the variable. The response is to a ``control…

chao-dyn · Physics 2009-10-31 Gregory L. Eyink

We study the phenomenon of composite operator renormalization and mixing in systems where time-translational invariance is broken and the evolution is out-of-equilibrium. We show that composite operators mix also through non-local memory…

High Energy Physics - Phenomenology · Physics 2013-07-16 Simone Dresti , Antonio Riotto

This is a non-perturbative treatment of correlation functions for the weakly coupled massless Gross-Neveu model in a finite volume. The main result is that all correlation functions, treated as distributions, are uniformly bounded in the…

Mathematical Physics · Physics 2025-02-17 J. Dimock

Resummation, ie. reorganization of perturbative series, can result in an inconsistent perturbation theory, unless the counterterms are reorganized in an appropriate way. In this paper two methods are presented for resummation of…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Jakovac , Zs. Szep

This paper analyzes the performance of cooperative hybrid automatic repeat request with incremental redundancy (HARQ-IR) and proposes a new approach of outage probability approximation for performance analysis. A general time-correlated…

Information Theory · Computer Science 2022-09-27 Zheng Shi , Haichuan Ding , Shaodan Ma , Kam-Weng Tam , Su Pan