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Although gauge invariance preserves the values of physical observables, a gauge transformation can introduce important alterations of physical interpretations. To understand this, it is first shown that a gauge transformation is not, in…

量子物理 · 物理学 2013-02-07 H. R. Reiss

Phenomena in gauge theory are often described in the physics literature via a specific choice of gauge. In foundational and philosophical discussions this is often criticized as introducing gauge dependence, and contrasted against (often…

物理学史与哲学 · 物理学 2024-07-23 David Wallace

The role of gauge invariance is reconsidered by "deriving it without assuming it" within an autonomous approach to interactions of Standard Model particles. In this approach, the renormalizable interactions are purely constrained by quantum…

高能物理 - 理论 · 物理学 2026-05-26 Karl-Henning Rehren

Gauge invariance is a powerful tool to determine the dynamics of the electroweak and strong forces. The particle content, structure and symmetries of the Standard Model Lagrangian are discussed. Special emphasis is given to the many…

高能物理 - 唯象学 · 物理学 2007-05-23 A. Pich

Gauge invariance is a powerful tool to determine the dynamics of the electroweak and strong forces. The particle content, structure and symmetries of the Standard Model Lagrangian are discussed. Special emphasis is given to the many…

高能物理 - 唯象学 · 物理学 2007-06-13 Antonio Pich

It is shown how gauge invariance is obtained for the coupling of a photon to a two-body state described by the solution of the Bethe-Salpeter equation. This is illustrated both for a complex scalar field theory and for interaction kernels…

高能物理 - 唯象学 · 物理学 2009-11-11 B. Borasoy , P. C. Bruns , U. -G. Meißner , R. Nißler

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…

综合物理 · 物理学 2024-10-03 Adam Marsh

We discuss an alternative to the Higgs mechanism which leads to gauge invariant masses for the electroweak bosons. The key idea is to reformulate the gauge invariance principle which, instead of being applied as usual at the level of the…

高能物理 - 唯象学 · 物理学 2011-07-11 Xavier Calmet

We describe the physical relativity of light and matter quantum subsystems, their correlations, and energy exchanges. We examine the most commonly adopted definitions of atoms and photons, noting the significant difference in their…

量子物理 · 物理学 2023-11-20 Adam Stokes , Hannah Riley , Ahsan Nazir

We develop a gauge theory of the combined gravitational-electromagnetic field by expanding the Poincar\'e group to include clock synchronization transformations. We show that the electromagnetic field can be interpreted as a local gauge…

广义相对论与量子宇宙学 · 物理学 2015-05-27 Robert D. Bock

Gauge invariance is the basis of the modern theory of electroweak and strong interactions (the so called Standard Model). The roots of gauge invariance go back to the year 1820 when electromagnetism was discovered and the first…

高能物理 - 唯象学 · 物理学 2009-10-05 J. D. Jackson , L. B. Okun

Quantum-simulator hardware promises new insights into problems from particle and nuclear physics. A major challenge is to reproduce gauge invariance, as violations of this quintessential property of lattice gauge theories can have dramatic…

量子物理 · 物理学 2022-12-07 Jad C. Halimeh , Haifeng Lang , Julius Mildenberger , Zhang Jiang , Philipp Hauke

In particle physics, the fundamental forces are subject to symmetries called gauge invariance. It is a redundancy in the mathematical description of any physical system. In this article I will demonstrate that the transformer architecture…

机器学习 · 计算机科学 2024-12-20 Leo van Nierop

Any metric theory of gravity whose interaction with quantum particles is described by a covariant wave equation is equivalent to a vector theory that satisfies Maxwell-type equations identically. This result does not depend on any…

广义相对论与量子宇宙学 · 物理学 2014-04-30 Giorgio Papini

Quantum field theory is assumed to be gauge invariant. However it is well known that when certain quantities are calculated using perturbation theory the results are not gauge invariant. The non-gauge invariant terms have to be removed in…

量子物理 · 物理学 2008-11-26 Dan Solomon

The structure of classical electrodynamics based on the variational principle together with causality and space-time homogeneity is analyzed. It is proved that in this case the 4-potentials are defined uniquely. On the other hand, the…

综合物理 · 物理学 2007-05-23 E. Comay

Universality of classical thermodynamics rests on the central limit theorem, due to which, measurements of thermal fluctuations are unable to reveal detailed information regarding the microscopic structure of a macroscopic body. When small…

量子物理 · 物理学 2024-02-28 Lucas Chibebe Céleri , Łukasz Rudnicki

Linear cosmological perturbation theory is pivotal to a theoretical understanding of current cosmological experimental data provided e.g. by cosmic microwave anisotropy probes. A key issue in that theory is to extract the gauge invariant…

广义相对论与量子宇宙学 · 物理学 2010-02-17 K. Giesel , S. Hofmann , T. Thiemann , O. Winkler

Can high energy physics be simulated by low-energy, non-relativistic, many-body systems, such as ultracold atoms? Such ultracold atomic systems lack the type of symmetries and dynamical properties of high energy physics models: in…

量子物理 · 物理学 2015-12-29 Erez Zohar , J. Ignacio Cirac , Benni Reznik

There is considered an extension of gauge theories according to the assumption of a generalized uncertainty principle which implies a minimal length scale. A modification of the usual uncertainty principle implies an extended shape of…

综合物理 · 物理学 2011-12-06 Martin Kober