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We describe explicitly how entanglement between quantum mechanical subsystems can lead to emergent gauge symmetry in a classical limit. We first provide a precise characterisation of when it is consistent to treat a quantum subsystem…

High Energy Physics - Theory · Physics 2022-09-12 Josh Kirklin

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…

High Energy Physics - Theory · Physics 2026-05-26 Karl-Henning Rehren

We show that gravity and matter fields are generically entangled, as a consequence of the local Poincar\'e symmetry. First, we present a general argument, applicable to any particular theory of quantum gravity with matter, by performing the…

General Relativity and Quantum Cosmology · Physics 2018-08-31 Nikola Paunkovic , Marko Vojinovic

Entanglement of fundamental degrees of freedom in particle physics is generated ab initio in scattering processes. In the case of a pure $SU(N)$ gauge theory, two gluons in a product state can be entangled in their polarizations as the…

High Energy Physics - Theory · Physics 2026-03-19 Claudia Núñez , Alba Cervera-Lierta , José Ignacio Latorre

Gauge invariance is the cornerstone of modern quantum field theory. Recently, it has been shown that the quantum Rabi model, describing the dipolar coupling between a two-level atom and a quantized electromagnetic field, violates this…

Quantum Physics · Physics 2019-06-05 O. Di Stefano , A. Settineri , V. Macrì , L. Garziano , R. Stassi , S. Savasta , F. Nori

Gauge theories have been a cornerstone of the description of the world at the level of the fundamental particles. The Lagrangian or the action describing the corresponding interactions is invariant under certain gauge transformations. This…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Bashir , A. Raya

Entanglement and magic are among the most fundamental properties unique to quantum systems. Each quantity captures a different aspect of non-classical behavior, and each can be regarded as a resource within its own operational setting.…

Quantum Physics · Physics 2025-12-19 Mao Kaneyasu , Yoshihiko Hasegawa

Gauge invariance was discovered in the development of classical electromagnetism and was required when the latter was formulated in terms of the scalar and vector potentials. It is now considered to be a fundamental principle of nature,…

Identifying the boundary between classical and quantum computation is a central challenge in quantum information. In multi-qubit systems, entanglement and magic are the key resources underlying genuinely quantum behaviour. While…

Quantum Physics · Physics 2026-03-02 Lorenzo Leone , Jens Eisert , Salvatore F. E. Oliviero

Inertial and gravitational mass or energy-momentum need not be the same for virtual quantum states. Separating their roles naturally leads to the gauge theory of volume-preserving diffeomorphisms of an inner four-dimensional space. The…

Mathematical Physics · Physics 2015-06-16 C. Wiesendanger

In gravitational theories with boundaries, diffeomorphisms can become physical and acquire a non-vanishing Noether charge. Using the covariant phase space formalism, on shell of the gravitational constraints, the latter localizes on…

High Energy Physics - Theory · Physics 2025-08-11 Luca Ciambelli , Jerzy Kowalski-Glikman , Ludovic Varrin

"Physical theories of fundamental significance tend to be gauge theories. These are theories in which the physical system being dealt with is described by more variables than there are physically independent degree of freedom. The…

Classical Physics · Physics 2007-05-23 Germain Rousseaux

In its canonical formulation, general relativity is subject to gauge transformations that are equivalent to space-time coordinate changes of general covariance only when the gauge generators, given by the Hamiltonian and diffeomorphism…

General Relativity and Quantum Cosmology · Physics 2023-10-31 Martin Bojowald , Erick I. Duque

The uncertainty principle and entanglement are two fundamental, but yet not well understood, features of quantum theory. The uncertainty relation reflects the capability limit in acquiring the knowledge of different physical properties of a…

Quantum Physics · Physics 2018-02-15 Jun-Li Li , Cong-Feng Qiao

The different roles and natures of spacetime appearing in a quantum field theory and in classical physics are analyzed implying that a quantum theory of gravitation is not necessarily a quantum theory of curved spacetime. Developing an…

General Relativity and Quantum Cosmology · Physics 2015-06-16 C. Wiesendanger

The loss of gauge invariance in models of light-matter interaction which arises from material and photonic space truncation can pose significant challenges to conventional quantum optical models when matter and light strongly hybridize. In…

Quantum Physics · Physics 2023-01-31 Chris Gustin , Sebastian Franke , Stephen Hughes

We consider two interacting systems when one is treated classically while the other system remains quantum. Consistent dynamics of this coupling has been shown to exist, and explored in the context of treating space-time classically. Here,…

Quantum Physics · Physics 2023-12-07 Jonathan Oppenheim , Carlo Sparaciari , Barbara Šoda , Zachary Weller-Davies

Using the Batalin-Vilkovisky technique and the background field method the proof of gauge invariant renormalizability is elaborated for a generic model of quantum gravity which is diffeomorphism invariant and has no other, potentially…

High Energy Physics - Theory · Physics 2019-08-07 Peter M. Lavrov , Ilya L. Shapiro

General Relativity is usually formulated as a theory with gauge invariance under the diffeomorphism group, but there is a 'dilaton' formulation where it is in addition invariant under Weyl transformations, and a 'unimodular' formulation…

General Relativity and Quantum Cosmology · Physics 2018-09-11 Steffen Gielen , Rodrigo de Leon Ardon , Roberto Percacci

The interpretation of virtual gluons as ghosts in the non-linear gluonic structure of QCD permits the formulation and realization of a manifestly gauge-invariant and Lorentz covariant theory of interacting quarks/anti-quarks, for all values…

High Energy Physics - Theory · Physics 2010-02-11 H. M. Fried , Y. Gabellini , T. Grandou , Y. -M. Sheu
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