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In this work we report on a new version of FeynCalc, a Mathematica package widely used in the particle physics community for manipulating quantum field theoretical expressions and calculating Feynman diagrams. Highlights of the new version…

High Energy Physics - Phenomenology · Physics 2024-09-02 Vladyslav Shtabovenko , Rolf Mertig , Frederik Orellana

We consider a classical test particle subject to electromagnetic and gravitational fields, described by a Lagrangian depending on the acceleration and on a fundamental length. We associate to the particle a moving local reference frame and…

High Energy Physics - Theory · Physics 2009-11-11 M. Toller

We review recent suggestions to quantum simulate scalar electrodynamics (the lattice Abelian Higgs model) in $1+1$ dimensions with rectangular arrays of Rydberg atoms. We show that platforms made publicly available recently allow empirical…

High Energy Physics - Lattice · Physics 2023-12-29 Yannick Meurice , James Corona , Sergio Cantu , Fangli Liu , Shengtao Wang , Kenny Heitritter , Steve Mrenna , Jin Zhang , Shan-Wen Tsai

Identifying accurate dynamic models is required for the simulation and control of various technical systems. In many important real-world applications, however, the two main modeling approaches often fail to meet requirements: first…

Machine Learning · Computer Science 2021-04-19 Manuel A. Roehrl , Thomas A. Runkler , Veronika Brandtstetter , Michel Tokic , Stefan Obermayer

We present a new interface called FeynHelpers that connects FeynCalc, a Mathematica package for symbolic semi-automatic evaluation of Feynman diagrams and calculations in quantum field theory (QFT) to Package-X and FIRE. The former provides…

Computational Physics · Physics 2018-01-30 Vladyslav Shtabovenko

We introduce a computational efficient data-driven framework suitable for quantifying the uncertainty in physical parameters and model formulation of computer models, represented by differential equations. We construct physics-informed…

Machine Learning · Statistics 2023-02-01 Michail Spitieris , Ingelin Steinsland

We construct the New Minimal Standard Model that incorporates the new discoveries of physics beyond the Minimal Standard Model (MSM): Dark Energy, non-baryonic Dark Matter, neutrino masses, as well as baryon asymmetry and cosmic inflation,…

High Energy Physics - Phenomenology · Physics 2009-09-29 Hooman Davoudiasl , Ryuichiro Kitano , Tianjun Li , Hitoshi Murayama

We lay down the foundations of particle dynamics in mechanical theories that satisfy the relativity principle and whose kinematics can be formulated employing reference frames of the type usually adopted in special relativity. Such…

General Relativity and Quantum Cosmology · Physics 2009-06-30 Sebastiano Sonego , Massimo Pin

In this review, the fundamental concepts of group theory and representation theory are introduced. Special emphasis is placed on the unitary irreducible representations of the $SU(N)$ Lie group, the Poincare group, Little Group, discrete…

High Energy Physics - Phenomenology · Physics 2026-02-03 Hao-Lin Li , Hao Sun , Ming-Lei Xiao , Jiang-Hao Yu

In this paper such Riemann metrics are established whose Laplace-Beltrami operators are identical to familiar Hamilton operators of elementary particle systems. Such metrics are the natural positive definite invariant metrics defined on…

Spectral Theory · Mathematics 2009-09-23 Zoltan Imre Szabo

The FDC is a general-purpose program package for Feynman Diagram Calculation. We outline previous successes in calculations and focus on its recent progress about automatic deduction the Feynman rules for first principle model, especially…

High Energy Physics - Phenomenology · Physics 2009-11-10 Jian-Xiong Wang

Envisioned by Richard Feynman in the early 1980s, quantum simulation has received dramatic impetus thanks to the development of a variety of plateforms able to emulate a wide class of quantum Hamiltonians. During the past decade, most of…

Quantum Gases · Physics 2019-01-09 Laurent Sanchez-Palencia

The reader surely knows what particles physics is about: finding building blocks of nature that appear elementary at a given time and study their interactions - so why in the world this essay? The problem is how to arrive at a fundamental…

High Energy Physics - Phenomenology · Physics 2025-04-21 Goran Senjanović

We show, in great detail, how the perturbative tools of quantum field theory allow one to rigorously obtain: a ``categorified'' Faa di Bruno type formula for multiple composition, an explicit formula for reversion and a proof of…

Combinatorics · Mathematics 2009-09-29 Abdelmalek Abdesselam

The derivation of the Feynman rules for lattice perturbation theory from actions and operators is complicated, especially for highly improved actions such as HISQ. This task is, however, both important and particularly suitable for…

High Energy Physics - Lattice · Physics 2010-12-17 A. Hart , G. M. von Hippel , R. R. Horgan , E. H. Müller

In this paper, we present a machine learning-based data generator framework tailored to aid researchers who utilize simulations to examine various physical systems or processes. High computational costs and the resulting limited data often…

Machine Learning · Computer Science 2023-05-17 Sabber Ahamed , Md Mesbah Uddin

Constructivist lagrangian propiates a diverse approach to field theory. Introduce the set action. Consider fields families under a same symmetry group. The resulting fields set extends the standard atomist field theory to a whole field…

General Physics · Physics 2023-09-20 R. Doria , L. S. Mendes

Continuing our earlier work on the application of the Relativistic Generalized Uncertainty Principle (RGUP) to quantum field theories, in this paper we study Quantum Electrodynamics (QED) with minimum length. We obtain expressions for the…

General Relativity and Quantum Cosmology · Physics 2021-02-15 Pasquale Bosso , Saurya Das , Vasil Todorinov

We present a new approach for the simulation of Beyond Standard Model (BSM) physics within the Herwig++ event generator. Our approach is more generic than previous methods with the aim of minimising the effort of implementing further new…

High Energy Physics - Phenomenology · Physics 2008-11-26 Martyn Gigg , Peter Richardson

We construct a new model for relativistic particle on the noncommutative surface in $(2+1)$ dimensions, using the symplectic formalism of constrained systems and embedding the model on an extended phase space. We suggest a short cut to…

High Energy Physics - Theory · Physics 2015-07-10 Salman Abarghouei Nejad , Mehdi Dehghani , Majid Monemzadeh
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