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A formalism for the numerical integration of one- and two-loop integrals is presented. It is based on subtraction terms which remove the soft, collinear and some of the ultraviolet divergences from the integrand. The numerical integral is…

高能物理 - 唯象学 · 物理学 2012-10-08 A. Freitas

Feynman amplitudes at higher orders in perturbation theory generically have complex singular structures. Notwithstanding the emergence of many powerful new methods, the presence of infrared divergences poses significant challenges for their…

高能物理 - 唯象学 · 物理学 2019-09-04 Charalampos Anastasiou , George Sterman

Anomalous dimensions of twist-two operators govern the scale evolution of parton distribution functions. For off-shell external states, the physical twist-two operators mix with unknown gauge-variant operators under renormalization. In this…

高能物理 - 唯象学 · 物理学 2024-09-17 Thomas Gehrmann , Andreas von Manteuffel , Tong-Zhi Yang

A formulation of the Ginzburg-Landau-Wilson version of the partition function of a system with a continuously varying order parameter as a transfer matrix calculation allows for the application of methods based on the Density Matrix…

统计力学 · 物理学 2009-11-07 William Lay , Joseph Rudnick

We report a real-space renormalization group (RSRG) algorithm, which is formulated through Baxter's corner transfer matrix (CTM), for two-dimensional (d = 2) classical lattice models. The new method performs the renormalization group…

统计力学 · 物理学 2008-02-03 Tomotoshi Nishino , Kouichi Okunishi

We perform a systematic one-loop renormalization of a general renormalizable Yang-Mills theory coupled to scalars and fermions using a regularization scheme with a smooth momentum cutoff $\Lambda$ (implemented through an exponential damping…

高能物理 - 唯象学 · 物理学 2016-12-21 Piotr H. Chankowski , Adrian Lewandowski , Krzysztof A. Meissner

Some effects induced by SMEFT operators at one loop have attracted a lot of attention in recent years, in particular, the renormalization of divergences by physical operators in single insertions of dimension-6 operators. Important…

高能物理 - 唯象学 · 物理学 2026-02-04 Sergio Ferrando Solera , Sebastian Jäger , Luiz Vale Silva

The MadGraph5 aMC@NLO framework aims to automate all types of leading- and next-to-leading-order-accurate simulations for any user-defined model that stems from a renormalisable Lagrangian. In this paper, we present all of the key…

Encoding the electronic structure of molecules using 2-electron reduced density matrices (2RDMs) as opposed to many-body wave functions has been a decades-long quest as the 2RDM contains sufficient information to compute the exact molecular…

化学物理 · 物理学 2022-08-11 David Pekker , Chungwen Liang , Sankha Pattanayak , Swagatam Mukhopadhyay

A comprehensive study is performed of general massive, tensor, two-loop Feynman diagrams with two and three external legs. Reduction to generalized scalar functions is discussed. Integral representations, supporting the same class of…

高能物理 - 唯象学 · 物理学 2009-11-10 S. Actis , A. Ferroglia , G. Passarino , M. Passera , S. Uccirati

We formulate the problem of renormalization of Feynman integrals and its relation to periods of motives in configuration space instead of momentum space. The algebro-geometric setting is provided by the wonderful compactifications of…

数学物理 · 物理学 2015-05-20 Ozgur Ceyhan , Matilde Marcolli

We study the renormalization of normal mixing matrices, which includes hermitian and unitary matrices as particular cases. We give a minimal, multiplicative parametrization of counterterms, and compute the renormalized Lagrangian to…

高能物理 - 唯象学 · 物理学 2009-01-07 Antonio O. Bouzas

We suggest a generalization of the Feynman path integral to an integral over random surfaces. The proposed action is proportional to the linear size of the random surfaces and is called gonihedric. The convergence and the properties of the…

高能物理 - 理论 · 物理学 2016-12-13 George Savvidy

The Density Matrix Renormalization Group (DMRG) has become a powerful numerical method that can be applied to low-dimensional strongly correlated fermionic and bosonic systems. It allows for a very precise calculation of static, dynamical…

凝聚态物理 · 物理学 2007-05-23 Karen Hallberg

We give graphical rules, based on earlier work for the functional Schrodinger equation, for constructing the density matrix for scalar and gauge fields at finite temperature T. More useful is a dimensionally-reduced effective action (DREA)…

高能物理 - 理论 · 物理学 2009-11-07 C. A. A. de Carvalho , John M. Cornwall , A. J. da Silva

We study quantization of a gauge analogon of the Grosse-Wulkenhaar model: we find divergent one-loop contributions to the 1-point and 2-point Green functions. We obtain that five counterterms are necessary for renormalization and that all…

高能物理 - 理论 · 物理学 2015-06-04 M. Buric , M. Dimitrijevic , V. Radovanovic , M. Wohlgenannt

We present DsixTools, a Mathematica package for the handling of the dimension-six Standard Model Effective Field Theory. Among other features, DsixTools allows the user to perform the full one-loop Renormalization Group Evolution of the…

高能物理 - 唯象学 · 物理学 2017-06-23 Alejandro Celis , Javier Fuentes-Martin , Avelino Vicente , Javier Virto

Feynman diagrams may be evaluated by Mellin-Barnes representations of their Feynman parameter integrals in d=4-2\eps dimensions. Recently, the Mathematica toolkit AMBRE has been developed for the automatic derivation of such representations…

高能物理 - 唯象学 · 物理学 2009-04-16 J. Gluza , F. Haas , K. Kajda , T. Riemann

We implement an efficient strong-disorder renormalization-group (SDRG) procedure to study disordered tight-binding models in any dimension and on the Erdos-Renyi random graphs, which represent an appropriate infinite dimensional limit. Our…

强关联电子 · 物理学 2017-08-02 Hossein Javan Mard , Jose A. Hoyos , Eduardo Miranda , Vladimir Dobrosavljevic

Standard Model Neutrino Effective Field Theory (SMNEFT) is an effective theory with Standard Model (SM) gauge-invariant operators constructed only from SM and right-handed neutrino fields. For the full set of dimension-six SMNEFT operators,…

高能物理 - 唯象学 · 物理学 2021-02-03 Alakabha Datta , Jacky Kumar , Hongkai Liu , Danny Marfatia