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We provide upper and lower bounds on the lowest free energy of a classical system at given one-particle density $\rho(x)$. We study both the canonical and grand-canonical cases, assuming the particles interact with a pair potential which…

数学物理 · 物理学 2023-03-29 Michal Jex , Mathieu Lewin , Peter S. Madsen

We develop a formulation of the strong deflection limit for the scattering of particles following timelike geodesics in asymptotically flat, static, and spherically symmetric spacetimes. For fixed specific energy, as the angular momentum…

广义相对论与量子宇宙学 · 物理学 2026-03-11 Takahisa Igata , Yohsuke Takamori

In this paper we assume the de Sitter Space version of Black Hole Complementarity which states that a single causal patch of de Sitter space is described as an isolated finite temperature cavity bounded by a horizon which allows no loss of…

高能物理 - 理论 · 物理学 2010-04-06 Naureen Goheer , Matthew Kleban , Leonard Susskind

We define an $S$-matrix for massive scalar fields on a fixed de Sitter spacetime, in the expanding patch co-ordinates relevant for early Universe cosmology. It enjoys many of the same properties as its Minkowski counterpart, for instance:…

高能物理 - 理论 · 物理学 2023-09-14 Scott Melville , Guilherme L. Pimentel

Free bosonic fields are investigated at a classical level by imposing their characteristic de Broglie periodicities as constraints. In analogy with finite temperature field theory and with extra-dimensional field theories, this…

高能物理 - 理论 · 物理学 2011-01-26 Donatello Dolce

The paper deals with the calculation of the gravitational entropy in the context of teleparallel gravity for de Sitter space-time. In such a theory it is possible to define gravitational energy and pressure, thus we use those expressions to…

广义相对论与量子宇宙学 · 物理学 2016-07-20 S. C. Ulhoa , E. P. Spaniol

We consider a charged particle following the boundary of a two-dimensional domain because a homogeneous magnetic field is applied. We develop the basic scattering theory for the corresponding quantum mechanical edge states. The scattering…

数学物理 · 物理学 2009-11-11 C. Buchendorfer , G. M. Graf

We discuss spherically symmetric, static solutions to the SU(2) sigma model on a de Sitter background. Despite of its simplicity this model reflects many of the features exhibited by systems of non-linear matter coupled to gravity e.g.…

广义相对论与量子宇宙学 · 物理学 2009-10-30 Peter C. Aichelburg , Christiane Lechner

In this work we propose an alternative description of the quantum mechanics of a massive and spinning free particle in anti-de~Sitter spacetime, using a phase space rather than a spacetime representation. The regularizing character of the…

高能物理 - 理论 · 物理学 2009-10-22 A. M. El Gradechi , S. De Bièvre

We define conserved gravitational charges in -cosmologically extended- topologically massive gravity, exhibit them in surface integral form about their de-Sitter or flat vacua and verify their correctness in terms of two basic types of…

广义相对论与量子宇宙学 · 物理学 2009-11-10 S. Deser , Bayram Tekin

In this expository note, I present some basic geometric and twistor theoretic facts about de Sitter space leading up to a discussion of Penrose's quasi-local mass construction for linear gravity theory in the de Sitter background. The…

广义相对论与量子宇宙学 · 物理学 2015-05-25 Paul Tod

We consider de Sitter spacetime solutions and the corresponding de Sitter kind of plane-wave solutions in M* theory. We attempt to write down corresponsing matrix model which is found to have explicit negative energy mass terms as well as…

高能物理 - 理论 · 物理学 2009-11-11 Harvendra Singh

The scattering of a charged scalar field on Coulomb potential on de Sitter space-time is studied using the solution of the free Klein-Gordon equation. We find that the scattering amplitude is independent of the choice of the picture and in…

高能物理 - 理论 · 物理学 2008-11-26 Crucean Cosmin , Racoceanu Radu , Pop Adrian

We present and discuss an asynchronous coordinate system covering de Sitter spacetime, notably in a complete way in 1+1 dimensions. The new coordinates have several interesting cosmological properties: the worldlines of comoving…

广义相对论与量子宇宙学 · 物理学 2014-09-12 Christian Marinoni , Heinrich Steigerwald

For a general spherically four--dimensional metric the notion of "circularity" of a family of equatorial geodesic trajectories is defined in geometrical terms. The main object turns out to be the angular--momentum function $J$ obeying a…

广义相对论与量子宇宙学 · 物理学 2017-06-08 Wolfgang Graf

A new spinning particle with a definite sign of the energy is defined on spacelike hypersurfaces after a critical discussion of the standard spinning particles. They are the pseudoclassical basis of the positive energy $({1\over 2},0)$ [or…

高能物理 - 理论 · 物理学 2009-10-31 F. Bigazzi , L. Lusanna

We consider the class of spinning particle theories, whose quantization corresponds to the continuous helicity representation of the Poincare group. The classical trajectories of the particle are shown to lie on the parabolic cylinder with…

高能物理 - 理论 · 物理学 2022-03-14 D. S. Kaparulin , S. L. Lyakhovich , I. A. Retuntsev

The interaction between three photons is studied in de Sitter ambient space formalism. As a special case the half harmonic generator is considered, {\it i.e.} one photon decays to two same-energy photons. The scattering matrix elements are…

广义相对论与量子宇宙学 · 物理学 2025-10-21 Y. Ahmadi , M. V. Takook

Dynamics of systems of structured particles consisting of potentially interacting material points is considered in the framework of classical mechanics. Equations of interaction and motion of structured particles have been derived. The…

综合物理 · 物理学 2012-05-14 V. M. Somsikov

We consider a collision between a moving particle and a fixed system, each having internal degrees of freedom. We identify the regime where the motion of the particle acts as a work source for the joint internal system, leading to energy…

量子物理 · 物理学 2022-06-29 Samuel L. Jacob , Massimiliano Esposito , Juan M. R. Parrondo , Felipe Barra