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We use mixed Hodge structures to investigate Feynman amplitudes as functions of external momenta and masses.

高能物理 - 理论 · 物理学 2010-07-27 Spencer Bloch , Dirk Kreimer

We calculate helicity amplitudes for $e^-e^+\to W^-W^+$ analytically in the Feynman-diagram (FD) gauge. We show that, unlike in the unitary gauge, there is no energy growth of the individual Feynman amplitudes for the longitudinally…

高能物理 - 唯象学 · 物理学 2024-09-12 Hiroyuki Furusato , Kentarou Mawatari , Yutaro Suzuki , Ya-Juan Zheng

One loop expressions for fermion self energy,vacuum polarization and vertex correction in light front time ordered perturbation theory (LFTPOT) can be obtained from respective covariant expressions by performing k^- integration. In earlier…

高能物理 - 理论 · 物理学 2010-12-28 Swati M. Patel , Anuradha Misra

Perturbative corrections to the mean field theory for particle-hole instabilities of interacting electron systems are computed within a scheme which is equivalent to the recently developed variational approach to the Kohn-Luttinger…

强关联电子 · 物理学 2015-06-25 R. Hlubina

In the Feynman amplitude approach for coherent collisions of a jet with medium partons, the Bose-Einstein symmetry with respect to the interchange of the exchanged bosons leads to a destructive interference of the amplitudes in most regions…

高能物理 - 唯象学 · 物理学 2015-06-12 Cheuk-Yin Wong

We show that recent experiments in hybrid qubit-oscillator devices that measure the phase-space characteristic function of the oscillator via the qubit can be seen through the lens of functional calculus and path integrals, drawing a clear…

量子物理 · 物理学 2024-11-11 S. Varona , S. Saner , O. Băzăvan , G. Araneda , G. Aarts , A. Bermudez

Recent work applying multidimentional coherent electronic spectroscopy at dilute samples in the gas phase is reviewed. The development of refined phase-cycling approaches with improved sensitivity has opened-up new opportunities to probe…

原子与分子团簇 · 物理学 2019-09-12 Lukas Bruder , Ulrich Bangert , Marcel Binz , Daniel Uhl , Frank Stienkemeier

We present the analytic expressions of the three-loop virtual corrections to the helicity amplitudes of 2 -> 2 four-fermion scattering processes in massless QED. The contributing Feynman diagrams are grouped into integrand families…

高能物理 - 唯象学 · 物理学 2026-02-12 Giulio Crisanti , Thomas Dave , Pierpaolo Mastrolia , Jonathan Ronca , Sid Smith , William J. Torres Bobadilla

The dual-fermion approach offers a way to perform diagrammatic expansion around the dynamical mean-field theory. Using this formalism, the influence of antiferromagnetic fluctuations on the self-energy is taken into account through…

强关联电子 · 物理学 2014-12-22 Junya Otsuki , Hartmut Hafermann , Alexander I. Lichtenstein

Various phase transitions in models for coupled charge-density waves are investigated by means of the $\epsilon$-expansion, mean-field theory, and Monte Carlo simulations. At zero temperature the effective action for the system with…

强关联电子 · 物理学 2009-11-10 Minchul Lee , Eun-Ah Kim , Jong Soo Lim , M. Y. Choi

We present a new method which uses Feynman-like diagrams to calculate the statistical quantities of embedded many-body random matrix problems. The method provides a promising alternative to existing techniques and offers many important…

统计力学 · 物理学 2014-08-06 Rupert Small , Sebastian Müller

We study a simplest viable dark matter model with a real singlet scalar, vector-like singlet and a doublet lepton. We find a considerable enhancement in the allowed region of the scalar dark matter parameter spaces under the influence of…

高能物理 - 唯象学 · 物理学 2021-02-24 Pritam Das , Mrinal Kumar Das , Najimuddin Khan

Pseudogap is a ubiquitous phenomenon in strongly correlated systems such as high-$T_{\rm c}$ superconductors, ultracold atoms and nuclear physics. While pairing fluctuations inducing the pseudogap are known to be enhanced in low-dimensional…

量子气体 · 物理学 2020-09-23 Hiroyuki Tajima , Shoichiro Tsutsui , Takahiro M. Doi

In this letter we compute a canonical set of cuts of the integrand for MHV amplitudes in planar ${\cal N}=4$ SYM, where all internal propagators are put on-shell. These "deepest cuts" probe the most complicated Feynman diagrams and on-shell…

高能物理 - 理论 · 物理学 2019-02-13 Nima Arkani-Hamed , Cameron Langer , Akshay Yelleshpur Srikant , Jaroslav Trnka

We present a method to evaluate numerically Feynman diagrams directly from their Feynman parameters representation. We first disentangle overlapping singularities using sector decomposition. Threshold singularities are treated with an…

高能物理 - 唯象学 · 物理学 2010-10-27 Charalampos Anastasiou , Stefan Beerli , Alejandro Daleo

Higher-order diagrams required for radiative corrections to mixed electroweak and QCD processes at the LHC and anticipated future colliders will require numerically stable representations of the associated Feynman diagrams. The…

数学物理 · 物理学 2011-10-25 S. A. Yost , V. V. Bytev , M. Yu. Kalmykov , B. A. Kniehl , B. F. L. Ward

The exclusive photoproduction of a pair of light mesons is studied within the framework of collinear factorisation. The amplitude factorises into a process-dependent perturbatively calculable hard part, a generalised parton distribution…

高能物理 - 唯象学 · 物理学 2026-05-06 Saad Nabeebaccus , David Perez , Lech Szymanowski , Samuel Wallon

A simple algorithm is presented to decompose any 1-loop amplitude for scattering processes of the class 2 fermions -> 4 fermions into a fixed number of gauge-invariant form factors. The structure of the amplitude is simpler than in the…

高能物理 - 唯象学 · 物理学 2009-11-07 Alessandro Vicini

In this paper we analyze the Feynman wave equation on Lorentzian scattering spaces. We prove that the Feynman propagator exists as a map between certain Banach spaces defined by decay and microlocal Sobolev regularity properties. We go on…

偏微分方程分析 · 数学 2016-04-20 Jesse Gell-Redman , Nick Haber , András Vasy

A method is developed whereby spinor helicity techniques can be used to simplify the calculation of loop amplitudes. This is achieved by using the Feynman-parameter representation where the offending off-shell loop momenta do not appear.…

高能物理 - 唯象学 · 物理学 2009-10-22 C. S. Lam