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The dimensionally regularized master planar double box Feynman diagram with four massive and three massless lines, powers of propagators equal to one, all four legs on the mass shell, i.e. with p_i^2=m^2, i=1,2,3,4, is analytically…

高能物理 - 唯象学 · 物理学 2008-11-26 V. A. Smirnov

The dimensionally regularized massless on-shell double box Feynman diagram with powers of propagators equal to one is analytically evaluated for general values of the Mandelstam variables s and t. An explicit result is expressed either in…

高能物理 - 唯象学 · 物理学 2009-10-31 V. A. Smirnov

The dimensionally regularized massless non-planar double box Feynman diagram with powers of propagators equal to one, one leg off the mass shell, i.e. with p_1^2=q^2\neq 0, and three legs on shell, p_i^2=0, i=2,3,4, is analytically…

高能物理 - 唯象学 · 物理学 2008-11-26 V. A. Smirnov

The dimensionally regularized massless double box Feynman diagram with powers of propagators equal to one, one leg off the mass shell, i.e. with non-zero q^2=p_1^2, and three legs on shell, p_i^2=0, i=2,3,4, is analytically calculated for…

高能物理 - 唯象学 · 物理学 2008-11-26 V. A. Smirnov

The high-energy behaviour in a multi-channel system is investigated in the framework of collinear asymptotic dynamics for massive particles. We consider the most general trilinear coupling of N different scalar fields. We find Regge…

高能物理 - 唯象学 · 物理学 2007-05-23 J. Boguszynski , H. D. Dahmen , R. Kretschmer , L. Lukaszuk

The critical behaviour of 3-dimensional disordered systems in a strong magnetic field is investigated by analysing the spectral fluctuations of the energy spectrum. The level spacing distribution $P(s)$ as well the Dyson-Mehta statistics…

凝聚态物理 · 物理学 2009-10-28 E. Hofstetter

We analytically solve the conformal bootstrap equations in the Regge limit for large N conformal field theories. For theories with a parametrically large gap, the amplitude is dominated by spin-2 exchanges and we show how the crossing…

高能物理 - 理论 · 物理学 2018-01-17 Daliang Li , David Meltzer , David Poland

The symmetric harmonic three-mass system with finite rest lengths, despite its apparent simplicity, displays a wide array of interesting dynamics for different energy values. At low energy the system shows regular behavior that produces a…

混沌动力学 · 物理学 2020-03-25 Ori Saporta Katz , Efi Efrati

A number of exact results for two-loop three-point diagrams with massless internal particles and arbitrary (off-shell) external momenta are presented. Divergent contributions are calculated in the framework of dimensional regularization.

高能物理 - 唯象学 · 物理学 2009-10-28 N. I. Ussyukina , A. I. Davydychev

The asymptotic behaviour of cubic field theories is investigated in the Regge limit using the techniques of environmentally friendly renormalization, environmentally friendly in the present context meaning asymmetric in its momentum…

高能物理 - 理论 · 物理学 2009-10-30 C. R. Stephens , J. C. Lopez Vieyra , A. Weber , P. O. Hess

A database of DIII-D plasmas without ELMs compares the operating space and plasma performance of stationary no-ELM regimes: RMP-ELM suppression, QH-mode, I-mode, EDA H-mode, L-mode, and negative triangularity L-mode (Neg-D). Operational…

等离子体物理 · 物理学 2024-09-25 C. Paz-Soldan

In this paper we consider a family of three-dimensional problems in thermoelasticity for linear elliptic membrane shells and study the asymptotic behaviour of the solution when the thickness tends to zero.We fully characterize with strong…

偏微分方程分析 · 数学 2020-12-22 M. T. Cao-Rial , G. Castiñeira , Á. Rodríguez-Arós , S. Roscani

In three and two dimensions the asymptotic symmetry groups of $AdS$ spaces are infinite dimensional. This can be explained easily by noting the relations $AdS_3 \simeq SL(2)$ and $AdS_2 \simeq SL(2)/SO(2)$, i.e. that the asymptotic…

高能物理 - 理论 · 物理学 2012-12-11 Heikki Arponen

This paper considers the asymptotic behaviour of deterministically and stochastically forced linear pantograph equations. The asymptotic behaviour is studied in the case when all solutions of the pantograph equation without forcing tend to…

经典分析与常微分方程 · 数学 2025-09-25 John A. D. Appleby , Emmet Lawless

Using a Mellin-Barnes representation, we compute the on-shell massless planar double box Feynman diagram with an irreducible scalar product of loop momenta in the numerator. This diagram is needed in calculations of two loop corrections to…

高能物理 - 唯象学 · 物理学 2009-10-31 C. Anastasiou , J. B. Tausk , M. E. Tejeda-Yeomans

Motivated by the experimental observation [1] that driving a non-interacting Bose gas in a 3D box with weak disorder leads to power-law energy growth, $E \propto t^{\eta}$ with $\eta=0.46(2)$, and compressed-exponential momentum…

We argue that a Regge-pole modification of the VDM puts on equal footing the asymptotic behaviour of electromagnetic and neutral vector meson currents.

高能物理 - 唯象学 · 物理学 2013-12-20 V. A. Petrov

A set of one-loop vertex and box tensor-integrals with massless internal particles has been obtained directly without any reduction method to scalar-integrals. The results with one or two massive external lines for the vertex integral and…

高能物理 - 唯象学 · 物理学 2009-01-07 Y. Kurihara

We present the three-loop result for the soft anomalous dimension governing long-distance singularities of multi-leg gauge-theory scattering amplitudes of massless partons. We compute all contributing webs involving semi-infinite Wilson…

高能物理 - 唯象学 · 物理学 2016-10-26 Øyvind Almelid , Claude Duhr , Einan Gardi

We consider the asymptotic behaviour of the second discrete Painlev\'{e} equation in the limit as the independent variable becomes large. Using asymptotic power series, we find solutions that are asymptotically pole-free within some region…

可精确求解与可积系统 · 物理学 2017-03-03 Nalini Joshi , Christopher Lustri , Steven Luu
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