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The essence of a general formulation to accommodate non-equilibrium local states in relativistic quantum field theory is explained from the viewpoint of comparison at a spacetime point between unknown generic states to be characterized as…

Statistical Mechanics · Physics 2016-11-23 Izumi Ojima

The intricate machinery of perturbative quantum field theory has largely been devoted to the 'dynamical' side of the theory: simple states are evolved in complicated ways. This article begins to address this lopsided treatment. Although it…

High Energy Physics - Theory · Physics 2015-06-22 Hael Collins , R. Holman , Tereza Vardanyan

In this paper, we sketch and emphasize the automatic emergence of a quantum potential (QP) in general Hamilton-Jacobi equation via commuting relations, quantum canonical transformations and without the straight effect of wave function. The…

Quantum Physics · Physics 2011-11-01 Maedeh Mollai , Mohammad Razavi , Safa Jami , Ali Ahanj

We define generalised Gaussian states for quantum cosmological models based on the $\mathfrak{su(1,1)}$ algebra, with particular emphasis on its realisation in group field theory for a single field mode, and study their semiclassical…

General Relativity and Quantum Cosmology · Physics 2024-03-26 Andrea Calcinari , Steffen Gielen

A direct consequence of quantization of gravity would be quantum gravitational vacuum fluctuations which induce quadrupole moments in gravitationally polarizable atoms. In this paper, we study the spontaneous excitation of a gravitationally…

General Relativity and Quantum Cosmology · Physics 2019-07-25 Shijing Cheng , Jiawei Hu , Hongwei Yu

We analyze the effects that general environments, namely ohmic and non-ohmic, at zero and high temperature induce over a quantum Brownian particle. We state that the evolution of the system can be summarized in terms of two main…

Quantum Physics · Physics 2009-11-13 Fernando C. Lombardo , Paula I. Villar

A new approach to the model-independent description of quantum field theories will be introduced in the present work. The main feature of this new approach is to incorporate in a local sense the principle of general covariance of general…

Mathematical Physics · Physics 2011-05-05 Romeo Brunetti , Klaus Fredenhagen , Rainer Verch

We demonstrate that quantum field excitations can generate packaged entangled states, in which all internal quantum numbers (IQNs) (e.g., electric charge, flavor, and color) are inseparably entangled and constrained to irreducible…

Quantum Physics · Physics 2025-03-11 Rongchao Ma

We construct a Heisenberg-like algebra for the one dimensional quantum free Klein-Gordon equation defined on the interval of the real line of length $L$. Using the realization of the ladder operators of this type Heisenberg algebra in terms…

High Energy Physics - Theory · Physics 2009-11-07 M. A. Rego-Monteiro , E. M. F. Curado

We begin a systematic study of Quantum Energy Inequalities (QEIs) in relation to local covariance. We define notions of locally covariant QEIs of both 'absolute' and 'difference' types and show that existing QEIs satisfy these conditions.…

Mathematical Physics · Physics 2015-06-26 Christopher J. Fewster , Michael J. Pfenning

The objective of the paper is to characterize the Gaussian free field as a stationary solution of the heat equation with additive space-time white noise. In the case of whole space, the investigation leads to other types of Gaussian fields,…

Probability · Mathematics 2020-08-04 Sergey Lototsky , Apoorva Shah

In a large variety of quantum mechanical systems, we show that the full non-perturbative expression for energy eigenvalues, containing all orders of perturbative, non-perturbative and quasi-zero-mode terms, may be generated directly from…

High Energy Physics - Theory · Physics 2014-04-04 Gerald V. Dunne , Mithat Unsal

The quantum equation-of-motion (qEOM) method with singles and doubles has been suggested to study electronically excited states while it fails to predict the excitation energies dominated by double excitations. In this work, we present an…

Quantum Physics · Physics 2024-06-18 Yuhan Zheng , Jie Liu , Zhenyu Li , Jinlong Yang

We study the quench dynamics in continuous relativistic quantum field theory, more specifically the locality properties of the large time stationary state. After a quantum quench in a one-dimensional integrable model, the expectation values…

Statistical Mechanics · Physics 2017-02-16 Alvise Bastianello , Spyros Sotiriadis

I propose to formalize quantum theories as topological quantum field theories in a generalized sense, associating state spaces with boundaries of arbitrary (and possibly finite) regions of space-time. I further propose to obtain such…

High Energy Physics - Theory · Physics 2007-05-23 Robert Oeckl

The quantum mechanical concept of quasi-exact solvability is based on the idea of partial algebraizability of spectral problem. This concept is not directly extendable to the systems with infinite number of degrees of freedom. For such…

High Energy Physics - Theory · Physics 2009-10-30 A. G. Ushveridze

We generalize the energy-entropy ratio inequality in quantum field theory (QFT) established by one of us from localized states to a larger class of states. The states considered in this paper can be in a charged (non-vacuum) representation…

High Energy Physics - Theory · Physics 2025-01-08 Stefan Hollands , Roberto Longo

Quantum states that can yield work in a cyclical Hamiltonian process form one of the primary resources in the context of quantum thermodynamics. Conversely, states whose average energy cannot be lowered by unitary transformations are called…

Quantum Physics · Physics 2016-11-17 Eric G. Brown , Nicolai Friis , Marcus Huber

State-average calculations based on mixture of states are increasingly being exploited across chemistry and physics as versatile procedures for addressing excitations of quantum many-body systems. If not too many states should need to be…

We study the non equilibrium time evolution of an integrable field theory in 1+1 dimensions after a sudden variation of a global parameter of the Hamiltonian. For a class of quenches defined in the text, we compute the long times limit of…

Statistical Mechanics · Physics 2010-12-02 Davide Fioretto , Giuseppe Mussardo
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