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The higher-order perturbative corrections, beyond leading logarithmic accuracy, to the BFKL evolution in QCD at high energy are well known to suffer from a severe lack-of-convergence problem, due to radiative corrections enhanced by double…

高能物理 - 唯象学 · 物理学 2015-06-23 E. Iancu , J. D. Madrigal , A. H. Mueller , G. Soyez , D. N. Triantafyllopoulos

In this paper, we use the re-summation procedure, suggested in Refs.\cite{DIMST,SALAM,SALAM1,SALAM2}, to fix the BFKL kernel in the NLO. However, we suggest a different way to introduce th non-linear corrections in the saturation region,…

高能物理 - 唯象学 · 物理学 2020-12-02 Carlos Contreras , Eugene Levin , Rodrigo Meneses , Michael Sanhueza

In this work, we mainly study the one-loop effective action for real scalar theories in non-homogeneous backgrounds in odd dimensions. It is shown that through the method studied in Ref. [1], it is possible to obtain a unified result for…

高能物理 - 理论 · 物理学 2011-04-06 Burak Tevfik Kaynak

Using a covariant background field method we calculate the one-loop quantum effective action for a particle with coordinate-dependent mass moving slowly through a one-dimensional configuration space. The procedure can easily be extended to…

量子物理 · 物理学 2015-06-26 H. Kleinert , A. Chervyakov

For many practical purposes, it is convenient to formulate unbroken non-abelian gauge theories like QCD in a color-flow basis. We present a new derivation of SU(N) interactions in the color-flow basis by extending the gauge group to…

高能物理 - 唯象学 · 物理学 2012-10-10 W. Kilian , T. Ohl , J. Reuter , C. Speckner

A new proof of the optical theorem at all orders is presented. Although the theorem is a well-known result in Quantum Field Theory, our proof is interesting because it is particularly simple. Indeed, the theorem is a direct consequence of…

高能物理 - 理论 · 物理学 2020-06-01 Sergio L. Cacciatori , Andrea Zanzi

We discuss the calculation of one-loop effective actions in Lorentzian spacetimes, based on a very simple application of the method of steepest descent to the integral over the field. We show that for static spacetimes this procedure agrees…

广义相对论与量子宇宙学 · 物理学 2019-01-08 Alessio Baldazzi , Roberto Percacci , Vedran Skrinjar

The ``non-Abelian'' part of the quark contribution to the BFKL kernel in the next-to-leading order (NLO) is found in the coordinate representation by direct transfer of the contribution from the momentum representation where it was…

高能物理 - 唯象学 · 物理学 2008-11-26 Victor S. Fadin , Roberto Fiore , Alessandro Papa

A general effective action for quark matter at nonzero temperature and/or nonzero density is derived. Irrelevant quark modes are distinguished from relevant quark modes, and hard from soft gluon modes, by introducing two separate cut-offs…

核理论 · 物理学 2017-08-23 P. T. Reuter , Q. Wang , D. H. Rischke

If background fields are soft on the scale set by mass of the particle involved, a reliable approximation to the field-theoretic one-loop effective action is obtained by a systematic large mass expansion involving higher-order Seeley-DeWitt…

高能物理 - 理论 · 物理学 2007-05-23 O-Kab Kwon , Choonkyu Lee , Hyunsoo Min

We develop a method for providing quantitative estimates for higher order correlations of group actions. In particular, we establish effective mixing of all orders for actions of semisimple Lie groups as well as semisimple $S$-algebraic…

动力系统 · 数学 2017-11-20 Michael Björklund , Manfred Einsiedler , Alexander Gorodnik

The applicability of the space-time formulation of the gluonic sector of QCD in terms of the Polyakov worldline path integral, via the use of the background field gauge fixing method, is extended to multi-gluon loop configurations. Relevant…

高能物理 - 理论 · 物理学 2009-11-10 A. I. Karanikas , C. N. Ktorides

I derive a general effective theory for hot and/or dense quark matter. After introducing general projection operators for hard and soft quark and gluon degrees of freedom, I explicitly compute the functional integral for the hard quark and…

核理论 · 物理学 2007-05-23 Philipp T. Reuter

It is known that non-Abelian classical kinetic theory reproduces the Hard Thermal/Dense Loop (HTL/HDL) effective action of QCD, obtained after integrating out the hardest momentum scales from the system, as well as the first higher…

高能物理 - 唯象学 · 物理学 2009-11-07 Mikko Laine , Cristina Manuel

We first note that, at least in perturbation theory, there is a well-defined (subject to regularization) Lorentzian definition of the quantum effective action in both flat and curved space including (perturbative) gravity. The advantage of…

高能物理 - 理论 · 物理学 2025-11-18 S. P. de Alwis

Functional methods can be applied to the quantum effective action to efficiently determine counterterms and matching conditions for effective field theories. We extend the toolbox to two-loop order and beyond and show how to evaluate the…

高能物理 - 唯象学 · 物理学 2025-08-20 Javier Fuentes-Martín , Adrián Moreno-Sánchez , Ajdin Palavrić , Anders Eller Thomsen

Complete results were obtained by us in [Can. J. Phys. 71, 389 (1993)] for convergent series representations of both the real and the imaginary part of the QED effective action; these derivations were based on correct intermediate steps. In…

高能物理 - 理论 · 物理学 2009-10-31 D. R. Lamm , S. R. Valluri , U. D. Jentschura , E. J. Weniger

I discuss the construction of the effective action for QCD suitable for the description of high-energy and small momentum transfer diffractive processes.

高能物理 - 理论 · 物理学 2007-05-23 Lech Szymanowski

In many situations, one can approximate the behavior of a quantum system, i.e. a wave function subject to a partial differential equation, by effective classical equations which are ordinary differential equations. A general method and…

数学物理 · 物理学 2007-05-23 Martin Bojowald , Aureliano Skirzewski

We compute the effective action of QED at one loop order for an electric field which points in the $\hat{z}$ direction and depends arbitrarily upon the light cone time coordinate, $x^+ = (x^0 + x^3)/\sqrt{2}$. This calculation generalizes…

高能物理 - 理论 · 物理学 2009-11-07 H. M. Fried , R. P. Woodard