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The Klein-Gordon equation, the Maxwell equation, and the Dirac equation are presented as partial difference equations in the eight-dimensional covariant discrete phase space. These equations are also furnished as difference-differential…

数学物理 · 物理学 2010-07-09 A. Das

Recent and upcoming experimental data as well as the possibility of rich phenomenology have spiked interest in studying the quantum effects in cosmology at low (inflation-era) energy scales. One of the approaches to find covariant quantum…

广义相对论与量子宇宙学 · 物理学 2020-07-28 Sandeep Aashish

The quantum theory of relativistic particles, based on the first quantization technique similar to that used by Schroedinger and Dirac in formulating quantum mechanics, is reconsidered on the basis of a photon-like dispersion relation…

量子物理 · 物理学 2026-04-27 Boris Chichkov

Deformations of quantum field theories which preserve Poincar\'e covariance and localization in wedges are a novel tool in the analysis and construction of model theories. Here a general scenario for such deformations is discussed, and an…

数学物理 · 物理学 2015-05-27 Gandalf Lechner

The system of light quark and heavy anti-quark source is studied in 1+1 QCD in the large $N_C$ limit. Making use of the modified Fock-Schwinger gauge allows to consider simultaneously the spectroscopical problem of the q\bar Q bound states…

高能物理 - 唯象学 · 物理学 2007-05-23 A. V. Nefediev

We study the Fock quantization of a free Dirac field in 2+1-dimensional backgrounds which are conformally ultrastatic, with a time-dependent conformal factor. As it is typical for field theories, there is an infinite ambiguity in the Fock…

广义相对论与量子宇宙学 · 物理学 2017-09-06 Jerónimo Cortez , Beatriz Elizaga Navascués , Mercedes Martín-Benito , Guillermo A. Mena Marugán , José M. Velhinho

Algebraic quantization has been applied on the class of globally hyperbolic spacetime for many decades, leading to remarkable results. Nonetheless, the presence of a boundary calls for a separate treatment, since, in general, it breaks…

数学物理 · 物理学 2015-12-23 Gabriele Nosari

We develop a quantization scheme for the quantum theory of a real scalar field on a class of non-commutative spacetime models collectively known as T-Minkowski. Requiring the theory to be covariant under T-Poincar\'e transformations, we…

高能物理 - 理论 · 物理学 2025-08-07 Giuseppe Fabiano , Flavio Mercati

Weak gravity conjecture can be formulated as a statement that gravity must be the weakest force, compared to the other interactions in low energy effective field theory (EFT). Several arguments in favor of this statement were presented from…

高能物理 - 理论 · 物理学 2025-07-25 Anna Tokareva , Yongjun Xu

We describe the free Dirac field in a four dimensional spacetime as a locally covariant quantum field theory in the sense of Brunetti, Fredenhagen and Verch, using a representation independent construction. The freedom in the geometric…

数学物理 · 物理学 2010-10-20 Ko Sanders

The null energy condition (NEC), an important assumption of the Penrose singularity theorem, is violated by quantum fields. The natural generalization of the NEC in quantum field theory, the renormalized null energy averaged over a finite…

高能物理 - 理论 · 物理学 2021-11-11 Jackson R. Fliss , Ben Freivogel , Eleni-Alexandra Kontou

We describe space--time fluctuations by means of small fluctuations of the metric on a given background metric. From a minimally coupled Klein--Gordon equation we obtain within a weak-field approximation up to second order and an averaging…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Ertan Göklü , Claus Lämmerzahl

The continuous limit of quantum walks (QWs) on the line is revisited through a recently developed method. In all cases but one, the limit coincides with the dynamics of a Dirac fermion coupled to an artificial electric and/or relativistic…

量子物理 · 物理学 2017-04-25 Giuseppe Di Molfetta , Marc Brachet , Fabrice Debbasch

We consider the weak field limit of gravity in the vierbein-Einstein-Palatini formalism, find the action and the equations for perturbations around an arbitrary background, and compare them with the usual metric perturbation equations. We…

广义相对论与量子宇宙学 · 物理学 2015-12-29 Subhasish Chakrabarty , Amitabha Lahiri

In this paper the quantum vacuum energies induced by massive fluctuations of one real scalar field on a configuration of two partially transparent plates are analysed. The physical properties of the infinitely thin plates are characterized…

高能物理 - 理论 · 物理学 2013-06-17 Jose M. Munoz-Castaneda , J. Mateos Guilarte , A. Moreno Mosquera

A quantum walk describes the discrete unitary evolution of a quantum particle on a discrete graph. Some quantum walks, referred to as the Weyl and Dirac quantum walks, provide a description of the free evolution of relativistic quantum…

量子物理 · 物理学 2020-09-08 Luca Apadula , Alessandro Bisio , Giacomo Mauro D'Ariano , Paolo Perinotti

The singular behaviour of quantum fields in Minkowski space can often be bounded by polynomials of the Hamiltonian $H$. These so-called $H$-bounds and related techniques allow us to handle pointwise quantum fields and their operator product…

数学物理 · 物理学 2024-05-29 Ko Sanders

In this paper we will attempt to show that the Dirac theory lends itself to an interpretation in terms of a unified sub-quantum mechanical field theory where, the fundamental force fields are weak electric and weak magnetic fields. We…

综合物理 · 物理学 2007-05-23 M. R. Mahdavi

There are still no interacting models of the Wightman axioms, suggesting that the axioms are too tightly drawn. Here a weakening of linearity for quantum fields is proposed, with the algebra still linear but with the quantum fields no…

量子物理 · 物理学 2007-05-23 Peter Morgan

We present evidence that the simplest particle-physics scalar-field models of dynamical dark energy can be separated into distinct behaviors based on the acceleration or deceleration of the field as it evolves down its potential towards a…

天体物理学 · 物理学 2008-11-26 R. R. Caldwell , Eric V. Linder