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In information theory, the link between continuous information and discrete information is established through well-known sampling theorems. Sampling theory explains, for example, how frequency-filtered music signals are reconstructible…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Achim Kempf

A 4-dimensional Lorentzian static space-time is equivalent to 3-dimensional Euclidean gravity coupled to a massless Klein-field. By canonically quantizing the coupling model in the framework of loop quantum gravity, we obtain a quantum…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Yongge Ma

We present a general theory of quasiprobability distributions on phase spaces of quantum systems whose dynamical symmetry groups are (finite-dimensional) Lie groups. The family of distributions on a phase space is postulated to satisfy the…

Quantum Physics · Physics 2009-10-30 C. Brif , A. Mann

We introduce the notion of the space of parallel strings with partially summable labels, which can be viewed as a geometrically constructed group completion of the space of particles with labels. We utilize this to construct a machinery…

Algebraic Topology · Mathematics 2009-03-27 Shingo Okuyama , Kazuhisa Shimakawa

We use string duality to describe instanton induced spontaneous supersymmetry breaking in string compactifications with additional background fields. Dynamical supersymmetry breaking by space-time instantons in the heterotic string theory…

High Energy Physics - Theory · Physics 2014-11-18 P. Mayr

We study quantum strings in strong gravitational fields. The relevant small parameter is $g=R_c{\sqrt T_0}$, where $R_c$ is the curvature of the spacetime and $T_0$ is the string tension. Within our systematic expansion we obtain to zeroth…

High Energy Physics - Theory · Physics 2015-06-26 H. J. de Vega , I. Giannakis , A. Nicolaidis

We first quantize the action proposed by Casalbuoni and Gomis in [Phys. Rev. D \textbf{90}, 026001 (2014)], an action that describes two massless relativistic scalar particles interacting via a conformally invariant potential. The spectrum…

High Energy Physics - Theory · Physics 2021-12-03 N. Boulanger , F. Buisseret , G. Lhost

Phase spaces with nontrivial geometry appear in different approaches to quantum gravity and can also play a role in e.g. condensed matter physics. However, so far such phase spaces have only been considered for particles or strings. We…

High Energy Physics - Theory · Physics 2017-05-30 Tomasz Trześniewski

Open and Closed super-string field theories are constructed in an event-symmetric target space. The partition functions of Statistical and Quantum models are constructed in terms of invariants defined on Lie-algebra representations. An…

High Energy Physics - Theory · Physics 2007-05-23 P. E. Gibbs

We propose a symplectic structure for the phase space of a generic Lagrangian field theory expressed in the framework of $L_\infty$ algebras. The symplectic structure does not require explicit knowledge of the derivative content of the…

High Energy Physics - Theory · Physics 2025-09-08 Vinícius Bernardes , Theodore Erler , Atakan Hilmi Fırat

Singularity-free cosmological solutions may be obtained from the string action at tree level if the dimension of the space-time is greater than 10 and if brane configurations are taken into account. The behaviour of the dilaton field in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. C. Fabris , R. G. Furtado

Covariant phase space quantization attempts to quantize the full space of classical solutions, leading to a quantum theory in which the usual time coordinate is missing. In this paper we explore how the time evolution of the quantum states…

General Relativity and Quantum Cosmology · Physics 2022-12-15 Weixuan Hu

Motivated by the recent interest in the criticality of open quantum many-body systems, we study nonlinear sigma models with complexified couplings as a general framework for nonunitary field theory. Applying the perturbative…

Statistical Mechanics · Physics 2026-01-29 Kazuki Yamamoto , Kohei Kawabata

Beginning in abstract space and dislodging the representational form paves a way to formulate a version of a quantum physical measurement scheme. With materiality playing sustainment roles with respect to q-states, these latter control…

Quantum Physics · Physics 2020-02-21 O. Tapia

We propose a discrete spacetime formulation of quantum electrodynamics in one-dimension (a.k.a the Schwinger model) in terms of quantum cellular automata, i.e. translationally invariant circuits of local quantum gates. These have exact…

Quantum Physics · Physics 2020-04-17 Pablo Arrighi , Cédric Bény , Terry Farrelly

We study the phase space of periodically modulated gravitational cavity by means of quantum recurrence phenomena. We report that the quantum recurrences serve as a tool to connect phase space of the driven system with spectrum in quantum…

Quantum Physics · Physics 2009-11-06 Farhan Saif

We review some recent results concerning integrable quantum field theories in 1+1 space-time dimensions which contain unstable particles in their spectrum. Recalling first the main features of analytic scattering theories associated to…

High Energy Physics - Theory · Physics 2007-05-23 O. A. Castro-Alvaredo , A. Fring

The purpose of this paper is to propose a revised continuum model from the discrete system introduced in [Deng et.al., PRL, 2017] . Using a Galilean transformation, we obtain an equation governing the soliton solutions in the phase plane -…

Pattern Formation and Solitons · Physics 2025-10-24 M. H. Duong , M. J. Reynolds

A phase space formulation of the filtering process upon an incident quantum state is developed. This formulation can explain the results of both quantum interference and delayed-choice experiments without making use of the controversial…

Quantum Physics · Physics 2009-11-10 Daniela Dragoman

We investigate the field theory of strings having as a target space an arbitrary discrete one-dimensional manifold. The existence of the continuum limit is guaranteed if the target space is a Dynkin diagram of a simply laced Lie algebra or…

High Energy Physics - Theory · Physics 2009-10-22 I. Kostov
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