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We do a critical review of the Faraday-Maxwell concept of classical field and of its quantization process. With the hindsight knowledge of the essentially quantum character of the interactions, we use a naive classical model of field, based…

高能物理 - 理论 · 物理学 2008-02-03 Manoelito M. de Souza

Quantum field theory (QFT) in classical spacetime has revealed interesting and puzzling aspects about gravitational systems, in particular black hole thermodynamics and its information processing. Although quantum gravitational effects may…

量子物理 · 物理学 2018-05-24 Ding Jia

I give a very brief introduction to the use of effective field theory techniques in quantum calculations of general relativity. The gravitational interaction is naturally organized as a quantum effective field theory and a certain class of…

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

The Euclidean quantum field theory for the fields $\phi_{\Delta x}(x)$, which depend on both the position $x$ and the resolution $\Delta x$, constructed in SIGMA 2 (2006), 046, hep-th/0604170, on the base of the continuous wavelet…

高能物理 - 理论 · 物理学 2008-12-19 Mikhail V. Altaisky

We give a mathematical definition of quantum field theory on a manifold, and definition of quantization of a classical field theory given by a variational principle.

数学物理 · 物理学 2009-11-21 A. V. Stoyanovsky

We review the investigations on the quantum structure of spactime, to be found at the Planck scale if one takes into account the operational limitations to localization of events which result from the concurrence of Quantum Mechanics and…

高能物理 - 理论 · 物理学 2015-10-15 Dorothea Bahns , Sergio Doplicher , Gerardo Morsella , Gherardo Piacitelli

We present a brief review of selected topics in noncommutative field theories ranging from its revival in string theory, its influence on quantum field theories, its possible experimental signatures and ending with some applications in…

高能物理 - 理论 · 物理学 2015-05-27 Victor O. Rivelles

We construct spaces of 1-dimensional supersymmetric Euclidean field theories and show that they represent real or complex K-theory. A noteworthy feature of our bordism category is that the identity bordism of a point is connected to…

代数拓扑 · 数学 2019-01-09 Peter Ulrickson

This is an introduction to the group field theory approach to quantum gravity, with emphasis on motivations and basic formalism, more than on recent results; we elaborate on the various ingredients, both conceptual and formal, of the…

广义相对论与量子宇宙学 · 物理学 2012-03-27 Daniele Oriti

We review the main features of the relativistic Snyder model and its generalizations. We discuss the quantum field theory on this background using the standard formalism of noncommutaive QFT and discuss the possibility of obtaining a finite…

高能物理 - 理论 · 物理学 2019-11-15 S. Mignemi

We outline the structure of the nuclear force in the framework of chiral effective field theory of QCD and review recent applications to processes involving few nucleons.

核理论 · 物理学 2008-11-26 Evgeny Epelbaum

It is shown that adopting the \emph{Quantum Field} ---extended entity in space-time build by dynamic appearance propagation and annihilation of virtual particles--- as the primary ontology the astonishing features of quantum mechanics can…

量子物理 · 物理学 2015-03-03 Alberto C. de la Torre

In this paper we will analyse some interesting structures that occur in scalar quantum field theory. We will quantize this theory using path integrals. We will analyse the Bogomolny Bound for scalar quantum field theory in two dimensions.…

综合物理 · 物理学 2014-08-29 Ashaq Hussain Sofi , Mohammad Ashraf Shah

We review the status of (scalar) quantum field theory on curved spacetimes using a novel formulation in terms of non linear functionals over the smooth configuration fields. In particular, this entails also a new foundation of locally…

广义相对论与量子宇宙学 · 物理学 2015-05-13 Romeo Brunetti , Klaus Fredenhagen

We discuss a recently proposed extension of Bohmian mechanics to quantum field theory. For more or less any regularized quantum field theory there is a corresponding theory of particle motion, which in particular ascribes trajectories to…

量子物理 · 物理学 2007-05-23 Detlef Duerr , Sheldon Goldstein , Roderich Tumulka , Nino Zanghi

Despite its name, Quantum Field Theory (QFT) has been built to describe interactions between localizable particles. For this reason the actual formalism of QFT is partly based on a suitable generalization of the one already used for systems…

综合物理 · 物理学 2009-07-02 Eliano Pessa

In this introductory article a brief description of Quantum Field Theories (QFT) is presented with emphasis on the distinction between strongly and weakly coupled theories. A case is made for using numerical simulations to solve QCD, the…

高能物理 - 格点 · 物理学 2007-05-23 Rajan Gupta

I summarize here the logic that leads us to a program for the Theory of the Total Field in Einstein's sense. The purpose is to show that this theory is a logical culmination of the developments of (fundamental) physical concepts and, hence,…

综合物理 · 物理学 2007-05-23 Sanjay M. Wagh

We briefly review how nonrelativistic effective field theories give us a definition of the QCD potentials and a coherent field theory derived quantum mechanical scheme to calculate the properties of bound states made by two or more heavy…

高能物理 - 唯象学 · 物理学 2009-01-08 Nora Brambilla

In this paper we give a streamlined overview of some of the recent constructions provided with K.-H. Neeb, G. \'Olafsson and collaborators for a new geometric approach to Algebraic Quantum Field Theory (AQFT). Motivations, fundamental…

算子代数 · 数学 2025-05-29 Vincenzo Morinelli