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We provide a short and non-technical summary of our current knowledge and some possible perspectives on the group field theory formalism for quantum gravity, in the form of a (partial) FAQ (with answers). Some of the questions and answers…

广义相对论与量子宇宙学 · 物理学 2015-06-03 Aristide Baratin , Daniele Oriti

We explore finite-field frameworks for quantum theory and quantum computation. The simplest theory, defined over unrestricted finite fields, is unnaturally strong. A second framework employs only finite fields with no solution to x^2+1=0,…

量子物理 · 物理学 2015-06-15 Andrew J. Hanson , Gerardo Ortiz , Amr Sabry , Yu-Tsung Tai

A geometric framework for describing quantum particles on a possibly curved background is proposed. Natural constructions on certain distributional bundles (`quantum bundles') over the spacetime manifold yield a quantum ``formalism'' along…

数学物理 · 物理学 2007-05-23 Daniel Canarutto

Effective field theories provide a bridge between QCD and nuclear physics. I discuss light nuclei from this perspective, emphasizing the role of fine-tuning.

高能物理 - 唯象学 · 物理学 2009-06-25 U. van Kolck

We give a new representation of Euclidean quantum fields as scaling limits of systems of interacting, continuous, classical particles in the grand canonical ensemble.

数学物理 · 物理学 2007-05-23 S. Albeverio , H. Gottschalk , M. -w. Yoshida

We give a brief overview of the properties of a higher dimensional generalization of matrix model which arises naturally in the context of a background independent approach to quantum gravity, the so called group field theory. We show that…

高能物理 - 理论 · 物理学 2011-05-05 Laurent Freidel

It is commonly assumed that quantum field theory arises by applying ordinary quantum mechanics to the low energy effective degrees of freedom of a more fundamental theory defined at ultra-high-energy/short-wavelength scales. We shall argue…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Stefan Hollands , Robert M. Wald

A new application of quantum field theory is developed that gives a description of the internal dynamics of dressed elementary particles and predicts their masses. The fermionic and bosonic quantum fields are treated as interdependent…

综合物理 · 物理学 2012-08-28 J. M. Greben

The formalism of quantum mechanics is presented in a way that its interpretation as a classical field theory is emphasized. Two coupled real fields are defined with given equations of motion. Densities and currents associated to the fields…

量子物理 · 物理学 2007-05-23 A. C. de la Torre , A. Daleo

A model about excited field of a particle is discussed. We found this model will give wave-particle duality clearly and its Lagrangian is consistent with Quantum Theory. A new interpretation of quantum mechanics but not statistical…

量子物理 · 物理学 2007-05-23 Gang Zhao

I briefly summarized some recent work which uses the techniques of effective field theory to make quantum predictions in general relativity. In contrast to conventional expectations, these are in fact well behaved. The leading quantum…

高能物理 - 唯象学 · 物理学 2007-05-23 John F. Donoghue

These are six papers joined by the same title. The main topics are: 1. algebraic nature of quantization of relativistic fields, 2. constructive definition of space of states of quantum electromagnetic field, 3. structure of space of states…

数学物理 · 物理学 2016-09-07 D. A. Arbatsky

We present a new construction of the Euclidean $\Phi^4$ quantum field theory on $\mathbb{R}^3$ based on PDE arguments. More precisely, we consider an approximation of the stochastic quantization equation on $\mathbb{R}^3$ defined on a…

数学物理 · 物理学 2021-01-11 Massimiliano Gubinelli , Martina Hofmanova

A quantum scalar field theory with spacetime-dependent coupling is studied. Surprisingly, while translation invariance is explicitly broken in the classical theory, momentum conservation is recovered at the quantum level for some specific…

高能物理 - 理论 · 物理学 2014-01-29 Gianluca Calcagni , Giuseppe Nardelli

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…

高能物理 - 理论 · 物理学 2011-10-26 Daniele Oriti

The ontology emerging from quantum field theory and the results following from Bell's theorems allowed the development of an intuitive picture of the microscopic world described by quantum mechanics, that is, we can say that we understand…

量子物理 · 物理学 2016-06-30 Alberto C. de la Torre

We explore a wider theoretical framework that has quantum field theory built-in, taking the fact that quantum mechanics is reconstructed from quantum field theory as a hint. We formulate a quantum theory with an embedded structure by…

高能物理 - 理论 · 物理学 2025-02-13 Yoshiharu Kawamura

This review has explored the fundamental principles of thermal field theory in the context of a background magnetic field, highlighting its theoretical framework and some of its applications to the thermo-magnetic QCD plasma generated in…

核理论 · 物理学 2026-03-04 Munshi G. Mustafa , Aritra Bandyopadhyay , Chowdhury Aminul Islam

A new generalized formulation of the spectral condition is proposed for quantum fields with highly singular infrared behavior whose vacuum correlation functions are well defined only under smearing with analytic test functions in momentum…

数学物理 · 物理学 2015-06-26 A. G. Smirnov

Recent progress in Lorentz-covariant quantum field theories of the nuclear many-body problem ({\em quantum hadrodynamics}, or QHD) is discussed. The importance of modern perspectives in effective field theory and density functional theory…

核理论 · 物理学 2014-11-18 Brian D. Serot