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The Standard Model of particle physics is built on the principle of local gauge symmetry. This work provides a pedagogical introduction for advanced undergraduates by using quantum electrodynamics (QED) as the simplest example of a gauge…

High Energy Physics - Phenomenology · Physics 2025-12-02 Taha Anwar

Can we learn the physics of matter in motion directly from images and video--and trust it? Answering this question requires integrating experiments, physics-based simulation, and data across traditionally separate disciplines. Much of this…

Computational Engineering, Finance, and Science · Computer Science 2026-04-21 Hagen Holthusen , Kevin Linka , Ellen Kuhl

These notes form part of a lecture course on gauge theory. The material covered is standard in the physics literature, but perhaps less well-known to mathematicians. The purpose of these notes is to make spontaneous symmetry breaking and…

Differential Geometry · Mathematics 2020-07-27 M. J. D. Hamilton

Classical thermodynamics is a theory based on coarse-graining, meaning that the thermodynamic variables arise from discarding information related to the microscopic features of the system at hand. In quantum mechanics, however, where one…

Quantum Physics · Physics 2026-04-13 T. Pernambuco , L. C. Céleri

In this paper we give the outline of a lecture given to undergraduate students aiming at understanding why physicists are so much interested in the Higgs boson. The lecture has been conceived for students not yet familiar with advanced…

Popular Physics · Physics 2012-08-01 Giovanni Organtini

Indonesia will be projected to be maritime axis in the world. Indonesian potential as a maritime country inspires Nawacita vision established by Joko Widodo in his cabinet. This ambitions must be supported by coastal communities. The…

Physics Education · Physics 2023-09-19 Purwoko Haryadi Santoso

The Asia-Europe-Pacific School of High-Energy Physics is intended to give young physicists an introduction to the theoretical aspects of recent advances in elementary particle physics. These proceedings contain lecture notes on quantum…

High Energy Physics - Phenomenology · Physics 2018-05-15 Martijn Mulders , Rohini Godbole

The uniform electron gas or UEG (also known as jellium) is one of the most fundamental models in condensed-matter physics and the cornerstone of the most popular approximation --- the local-density approximation --- within…

Chemical Physics · Physics 2016-02-23 Pierre-François Loos , Peter M. W. Gill

Most studies on granular physics have focused on dry granular media, with no liquids between the grains. However, in geology and many real world applications (e.g., food processing, pharmaceuticals, ceramics, civil engineering,…

Statistical Mechanics · Physics 2009-11-11 Namiko Mitarai , Franco Nori

The Hopfield model, originally inspired by spin-glass physics, occupies a central place at the intersection of statistical mechanics, neural networks, and modern artificial intelligence. Despite its conceptual simplicity and broad…

Disordered Systems and Neural Networks · Physics 2026-01-15 Denis D. Caprioti , Matheus Haas , Constantino F. Vasconcelos , Mauricio Girardi-Schappo

The European School of High-Energy Physics is intended to give young physicists an introduction to the theoretical aspects of recent advances in elementary particle physics. These proceedings contain lecture notes on the Standard Model of…

High Energy Physics - Theory · Physics 2016-09-08 M. Mulders , G. Perez

The uniform electron gas (UEG), a hypothetical system with finite homogenous electron density composed by an infinite number of electrons in a box of infinite volume, is the practical pillar of density-functional theory (DFT) and the…

Chemical Physics · Physics 2022-04-05 Pierre-François Loos , Michael Seidl

Here, we present a simple, low-cost format for structured speaking and listening on historical, cultural, and equity-related topics within a physics institute. In this article, we describe how we run hour-long Learning Together sessions,…

Physics Education · Physics 2026-03-09 James Day , Katherine R. Herperger , Kyle Monkman

Drawing inference from data is an important skill for students to understand their everyday life, so that the sampling distribution as a central topic in statistical inference is necessary to be learned by the students. However, little is…

Other Statistics · Statistics 2020-02-12 Geovani Debby Setyani , Yosep Dwi Kristanto

Studies in Physics Education Research show that interdisciplinary approaches in education foster students' motivation, creativity, curiosity, and interest in physics. We discuss their features and potential role in bringing contemporary…

Physics Education · Physics 2024-02-15 Matteo Tuveri , Arianna Steri , Daniela Fadda

Gauge theory underpins the quantum field theories of the standard model, and in a previous paper was shown via a geometric approach to describe classical electromagnetism in a form which approximates QED. Here we formalize and generalize…

General Physics · Physics 2024-10-03 Adam Marsh

The many experimental puzzles of solid hydrogen, that seem to defy the generally accepted view of condensed matter, are shown to be a rather straightforward consequence of a new approach to condensed matter physics, that takes into account…

Materials Science · Physics 2007-05-23 M. Buzzacchi , E. Del Giudice , G. Preparata , S. S. Xue

This paper describes the development of a new university physics course designed to integrate physics, education, research, and community partnerships. The coordinated system of activities links the new course to local community efforts in…

Physics Education · Physics 2007-05-23 N. D. Finkelstein

It is astonishing how rapidly general-purpose AI has crossed familiar thresholds in introductory physics. Comparing outputs from successive models, GPT-5 Thinking moves far beyond the plug-and-chug tendencies seen earlier: on a classic…

Physics Education · Physics 2026-01-05 Gerd Kortemeyer

In teacher professional development (PD), grouping teachers with varying levels of experience can be a productive and empowering way to stimulate the exchange and co-generation of content and pedagogical knowledge. However, less experienced…

Physics Education · Physics 2024-07-23 Maggie Mahmood , Hamideh Talafian , Devyn Shafer , Morten Lundsgaard , Eric Kuo , Tim Stelzer
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