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We investigate up to which extend the kinematic setting of loop quantum gravity can be fit into a diffeomorphism invariant setting of algebraic QFT generalizing the Haag-Kastler setting of Wightman type QFT. The net of local (Weyl-)algebras…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Martin Rainer

We analyse the interaction between two quantum systems in spacetime and we compare two possible models to describe it: 1) a fully quantum field theoretical (QFT) description of the coupling of two quantum systems mediated by a quantum field…

Quantum Physics · Physics 2025-05-20 Eirini C. Telali , T. Rick Perche , Eduardo Martín-Martínez

Because the subject of relativistic quantum field theory (QFT) contains all of non-relativistic quantum mechanics, we expect quantum field computation to contain (non-relativistic) quantum computation. Although we do not yet have a quantum…

Quantum Physics · Physics 2007-05-23 A. C. Manoharan

Noncommutative field theory (NCFT) is an extension of quantum field theory (QFT) that redefines spacetime, replacing commuting coordinates with a noncommutative structure. This shift fundamentally alters the way fields, interactions, and…

High Energy Physics - Theory · Physics 2026-01-14 Badis Ydri

Rovelli's relational interpretation of quantum mechanics tells us that the description of a system in the formalism of quantum mechanics is not an absolute, but it is relative to the observer itself. The interpretation goes further and…

Quantum Physics · Physics 2025-06-24 Pietro Dall'Olio , José A. Zapata

The formalism of nonrelativistic quantum physics was originally considered in the context of inertial frames. Here, we report on a more general framework that includes noninertial frames and arbitrarily strong gravitational fields. We…

High Energy Physics - Theory · Physics 2024-08-13 Riccardo Falcone

We propose a framework for simulating the real-time dynamics of quantum field theories (QFTs) using continuous-variable quantum computing (CVQC). Focusing on ($1+1$)-dimensional $\varphi^4$ scalar field theory, the approach employs the…

Quantum Physics · Physics 2025-09-03 Steven Abel , Michael Spannowsky , Simon Williams

We consider a quantization of relativistic wave equations which allows to treat quantum fields together with interacting particles at a finite time. We discuss also a dissipative interaction with the environment. We introduce a stochastic…

High Energy Physics - Theory · Physics 2007-05-23 Z. Haba

Successful applications of a conceptually novel setup of Quantum Field Theory, that accounts for all subtheories of the Standard Model (QED, Electroweak Interaction and Higgs, Yang-Mills and QCD) and beyond (Helicity 2), call for a…

High Energy Physics - Theory · Physics 2024-09-19 Karl-Henning Rehren , Lucas T. Cardoso , Christian Gass , José M. Gracia-Bondía , Bert Schroer , Joseph C. Várilly

Using canonical quantisation, and eschewing the Schwinger-Keldysh path integral, we derive a version of the Worldline Quantum Field Theory (WQFT) formalism suitable for both scattering and bound configurations of the classical two-body…

High Energy Physics - Theory · Physics 2026-03-06 Riccardo Gonzo , Gustav Mogull

We discuss the nonlocal nature of quantum mechanics and the link with relativistic quantum mechanics such as formulated by quantum field theory. We use here a nonlocal quantum field theory (NLQFT) which is finite, satisfies Poincar\'e…

High Energy Physics - Theory · Physics 2024-01-12 Robin Landry , John Moffat

Non-equilibrium quantum field theory studies time dependence of processes which are not available for the S-matrix description. One of the new methods of investigation in non-equilibrium quantum theory is the stochastic limit method. This…

High Energy Physics - Theory · Physics 2008-11-26 L. Accardi , I. Ya. Aref'eva , I. V. Volovich

We provide a rather extended introduction to the group field theory approach to quantum gravity, and the main ideas behind it. We present in some detail the GFT quantization of 3d Riemannian gravity, and discuss briefly the current status…

High Energy Physics - Theory · Physics 2011-10-26 Daniele Oriti

We propose new Wightman functions as vacuum expectation values of products of field operators in the noncommutative space-time. These Wightman functions involve the $\star$-product among the fields, compatible with the twisted Poincar\'e…

High Energy Physics - Theory · Physics 2013-10-07 M. Chaichian , M. N. Mnatsakanova , K. Nishijima , A. Tureanu , Yu. S. Vernov

The framework of perturbative algebraic quantum field theory (pAQFT) is used to construct QFT models on causal sets. We discuss various discretised wave operators, including a new proposal based on the idea of a `preferred past', which we…

Mathematical Physics · Physics 2020-04-01 Edmund Dable-Heath , Christopher J. Fewster , Kasia Rejzner , Nick Woods

We study the problem of localization in Quantum Field Theory (QFT) from the point of view of inertial and accelerated experimenters. We consider the Newton-Wigner, the Algebraic Quantum Field Theory (AQFT) and the modal localization…

High Energy Physics - Theory · Physics 2025-07-14 Riccardo Falcone , Claudio Conti

The light-cone approach is reviewed. This method allows to find the underlying quantum field theory for any integrable lattice model in its gapless regime. The relativistic spectrum and S-matrix follows straightforwardly in this way through…

High Energy Physics - Theory · Physics 2009-09-25 H. J. de Vega

We discuss the scaling of the effective action for the interacting scalar quantum field theory on generic spacetimes with Lorentzian signature and in a generic state (including vacuum and thermal states, if they exist). This is done…

Mathematical Physics · Physics 2024-01-17 Edoardo D'Angelo , Nicolò Drago , Nicola Pinamonti , Kasia Rejzner

The present paper is the companion of [1] in which we proposed a scheme that tries to derive the Quantum Field Theory (QFT) on Curved Spacetimes (CST) limit from background independent Quantum General Relativity (QGR). The constructions of…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Hanno Sahlmann , Thomas Thiemann

We propose a criterion to characterize interacting theories in a suitable Wightman framework of relativistic quantum field theories which incorporates a "singularity hypothesis", which has been conjectured for a long time, is supported by…

Mathematical Physics · Physics 2020-03-24 Christian D. Jäkel , Walter F. Wreszinski