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Various formulations of the exact renormalization group can be compared in the perturbative domain, in which we have reliable expressions for regularization-independent (universal) quantities. We consider the renormalization of the…

高能物理 - 理论 · 物理学 2023-09-08 Jose Gaite

Various perturbation series are factorially divergent. The behavior of their high-order terms can be found by Lipatov's method, according to which they are determined by the saddle-point configurations (instantons) of appropriate functional…

高能物理 - 唯象学 · 物理学 2009-11-11 I. M. Suslov

In this paper we continue the study of the truncated conformal space approach to perturbed boundary conformal field theories. This approach to perturbation theory suffers from a renormalisation of the coupling constant and a multiplicative…

高能物理 - 理论 · 物理学 2015-05-27 Gerard Watts

We describe the generalization of Analytic Perturbation Theory (APT) for QCD observables, initiated by Radyushkin, Krasnikov, Pivovarov, Shirkov and Solovtsov, to fractional powers of coupling -- Fractional APT (FAPT). The basic aspects of…

高能物理 - 唯象学 · 物理学 2015-05-14 Alexander P. Bakulev

We present a number of analytical results which should guide the interpretation of lattice data in theories with an infra-red fixed point (IRFP) deformed by a mass term deltaL = - m \bar qq. From renormalization group (RG) arguments we…

高能物理 - 唯象学 · 物理学 2015-03-17 Luigi Del Debbio , Roman Zwicky

We introduce a dual-wavelength Fourier ptychographic topography (FPT) method that extends the lambda/2 height-range limit of single-wavelength FPT. By reconstructing complex fields at two illumination wavelengths and exploiting their phase…

We reassess the problem of renormalization in finite temperature field theory (FTFT). A new point of view elucidates the relation between the ultraviolet divergences for T=0 and $T \not= 0$ theories and makes clear the reason why the…

高能物理 - 理论 · 物理学 2008-11-26 D. H. T. Franco , J. L. Acebal

Starting from the divergent character of the perturbative expansions in QCD and using the technique of series acceleration by the conformal mappings of the Borel plane, I define a novel, non-power perturbative expansion for the Adler…

高能物理 - 唯象学 · 物理学 2015-06-16 I. Caprini

We introduce an optimal renormalization group analysis pertinent to the analysis of polarization functions associated with the $s$-quark mass relevant in $\tau$-decay. The technique is based on the renormalization group invariance…

高能物理 - 唯象学 · 物理学 2016-12-30 B. Ananthanarayan , Diganta Das

Renormalization-group methods in soft-collinear effective theory are used to perform the resummation of large perturbative logarithms for deep-inelastic scattering in the threshold region x->1. The factorization theorem for the structure…

高能物理 - 唯象学 · 物理学 2010-10-27 Thomas Becher , Matthias Neubert , Ben D. Pecjak

A matrix model of an asymptotically free theory with a bound state is solved using a perturbative similarity renormalization group for hamiltonians. An effective hamiltonian with a small width, calculated including the first three terms in…

高能物理 - 理论 · 物理学 2007-05-23 Stanislaw D. Glazek

Power corrections to exclusive processes are usually calculated using models for twist-four distribution amplitudes (DA) which are based on the leading-order terms in the conformal expansion. In this work we develop a different approach…

高能物理 - 唯象学 · 物理学 2010-04-05 Vladimir M. Braun , Einan Gardi , Stefan Gottwald

We apply the renormalization group optimized perturbation theory (RGOPT)to evaluate the QCD (matter) pressure at the two-loop level considering three flavors of massless quarks in a dense and cold medium. Already at leading order…

高能物理 - 唯象学 · 物理学 2019-12-11 Jean-Loïc Kneur , Marcus Benghi Pinto , Tulio Eduardo Restrepo

We determine masses of light quarks ($m_u$,$m_d$,$m_s$) using Borel-Laplace sum rules and renormalization group summed perturbation theory (RGSPT) from the divergence of the axial vector current. The RGSPT significantly reduces the scale…

高能物理 - 唯象学 · 物理学 2023-10-17 M. S. A. Alam Khan

In this paper a resummation method inspired by the renormalization-group improvement is applied to the one-loop effective potential (EP) in massive scalar $\phi^4$ model at $T\neq0$. By investigating the phase structure of the model at $T…

高能物理 - 唯象学 · 物理学 2007-05-23 Hisao Nakkagawa , Hiroshi Yokota

We present a \emph{new} formulation of perturbation theory for quantum systems, designated here as: `mean field perturbation theory'(MFPT), which is free from power-series-expansion in any physical parameter, including the coupling…

量子物理 · 物理学 2018-02-14 B. P. Mahapatra , N. B. Pradhan

The effective field theory of large-scale structure allows for a consistent perturbative bias expansion of the rest-frame galaxy density field. In this work, we present a systematic approach to renormalize galaxy bias and stochastic…

宇宙学与河外天体物理 · 物理学 2023-09-11 Henrique Rubira , Fabian Schmidt

For certain types of quantum graphs we show that the random-matrix form factor can be recovered to at least third order in the scaled time $\tau$ from periodic-orbit theory. We consider the contributions from pairs of periodic orbits…

混沌动力学 · 物理学 2007-05-23 Gregory Berkolaiko , Holger Schanz , Robert S. Whitney

The first complete calculation of the quadratic quark mass correction to the correlator of the two currents relevant for the strangeness-changing semihadronic tau-decay rate is presented including its real part at the four-loop level. This…

高能物理 - 唯象学 · 物理学 2008-11-26 P. A. Baikov , K. G. Chetyrkin , J. H. Kühn

We consider the O(N)-symmetric phi4 theory in two and three dimensions and determine the nonperturbative mass renormalization needed to obtain the phi4 continuum theory. The required nonperturbative information is obtained by resumming…

高能物理 - 理论 · 物理学 2015-12-22 Andrea Pelissetto , Ettore Vicari