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Vacuum energy is a simple model for dark energy driving an accelerated expansion of the universe. If the vacuum energy is inhomogeneous in spacetime then it must be interacting. We present the general equations for a spacetime-dependent…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-01 Josue De-Santiago , David Wands , Yuting Wang

We show that the free relativistic wave equation which describes the particle without or with rest mass has more than one part of energy spectrum. One part of energy spectrum is beginning with rest energy and it is not limited by above.…

Statistical Mechanics · Physics 2007-05-23 A. Borghardt , D. Karpenko

The quartic-divergent vacuum energy poses an ultraviolet (UV) challenge (the cosmological constant problem) in probing the nature of dark energy. Here we try to evaluate the contribution of the vacuum energy to dark energy with a method of…

High Energy Physics - Phenomenology · Physics 2025-12-25 Lian-Bao Jia

We consider classical superstring theories on flat four dimensional space-times, and where N=4 or N=2 supersymmetry is spontaneously broken. We obtain the thermal and quantum corrections at the string one-loop level and show that the…

High Energy Physics - Theory · Physics 2009-04-02 Tristan Catelin-Jullien , Costas Kounnas , Herve Partouche , Nicolaos Toumbas

We revisit the study of string theory close to the Hagedorn temperature with the aim towards cosmological applications. We consider interactions of open and closed strings in a gas of D$p-$branes, and/or one isolated D$p$-brane, in an…

High Energy Physics - Theory · Physics 2024-03-25 Andrew R. Frey , Ratul Mahanta , Anshuman Maharana , Francesco Muia , Fernando Quevedo , Gonzalo Villa

The main fundamental principles characterizing the vacuum field structure are formulated, the modeling of the related vacuum medium and charged point particle dynamics by means of devised field theoretic tools are analyzed. The Maxwell…

General Relativity and Quantum Cosmology · Physics 2010-01-26 Nikolai N. Bogolubov , Anatoliy K. Prykarpatsky , Ufuk Taneri

An implicit, fully characteristic, numerical scheme for solving the field equations of a cosmic string coupled to gravity is described. The inclusion of null infinity as part of the numerical grid allows us to apply suitable boundary…

General Relativity and Quantum Cosmology · Physics 2009-10-31 U. Sperhake , K. R. P. Sjodin , J. A. Vickers

The response of vacuum to the presence of external conditions is the subject of this work. We consider a generalization of the Casimir effect in the presence of curved boundaries on which a sharp potential is concentrated. The profile of…

High Energy Physics - Theory · Physics 2007-05-23 M. Scandurra

Thermodynamics of the XXX Heisenberg model is studied. The trace of the Boltzmann weight with respect to the Hilbert space is taken in the thermodynamic limit with the number of up-spins being fixed. The expression of the trace gives an…

Statistical Mechanics · Physics 2020-07-20 Go Kato , Miki Wadati

We present a model to study the statistics of a single structureless quantum particle freely moving in a space at a finite temperature. It is shown that the quantum particle feels the temperature and can exchange energy with its environment…

Statistical Mechanics · Physics 2010-10-04 Jian-Ping Peng

We study a noninteracting supersymmetric model in an expanding FRW spacetime. A soft supersymmetry breaking induces a nonzero contribution to the vacuum energy density. A short distance cutoff of the order of Planck length provides a scale…

High Energy Physics - Theory · Physics 2011-05-13 Neven Bilic

We argue that, within the realm of gauge-gravity duality, for a large class of systems in a steady-state there exists an effective thermodynamic description. This description comes equipped with an effective temperature and a free energy,…

High Energy Physics - Theory · Physics 2015-07-06 Arnab Kundu

In this work we make use of the generalized zeta function technique to investigate the vacuum energy, temperature corrections and heat kernel coefficients associated with a scalar field under a quasiperiodic condition in a…

High Energy Physics - Theory · Physics 2024-10-18 Herondy Mota

We outline the evaluation of the cosmological constant in the framework of the standard field-theoretical treatment of vacuum energy and discuss the relation between the vacuum energy problem and the gauge-group spontaneous symmetry…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. A. Andrianov , F. Cannata , P. Giacconi , A. Yu. Kamenshchik , R. Soldati

If we separate energy in a holographic theory into an extensive part and an intrinsic part, where the extensive part is given by the cosmological constant, and assume entropy be given by the Gibbon-Hawking formula, the Cardy-Verlinde…

High Energy Physics - Theory · Physics 2009-11-10 Ke Ke , Miao Li

The main objective of this paper is to analyze the vacuum expectation value (VEV) of the energy-momentum tensor (EMT) associated with a charged scalar quantum field in a high-dimensional cosmic string spacetime admitting the presence of a…

High Energy Physics - Theory · Physics 2019-08-26 E. A. F. Bragança , H. F. Santana Mota , E. R. Bezerra de Mello

We introduce a classical algorithm to approximate the free energy of local, translation-invariant, one-dimensional quantum systems in the thermodynamic limit of infinite chain size. While the ground state problem (i.e., the free energy at…

Quantum Physics · Physics 2024-07-04 Hamza Fawzi , Omar Fawzi , Samuel O. Scalet

The accelerating expansion of the Universe points to a small positive vacuum energy density and negative vacuum pressure. A strong candidate is the cosmological constant in Einstein's equations of General Relativity. The vacuum dark energy…

High Energy Physics - Phenomenology · Physics 2012-10-12 Steven D. Bass

We consider the reflected entropy and the associated entanglement spectrum for free fermions reduced to two intervals in 1+1 dimensions. Working directly in the continuum theory the reflected entropy can be extracted from the spectrum of a…

High Energy Physics - Theory · Physics 2023-03-22 Souvik Dutta , Thomas Faulkner , Simon Lin

We discuss neutrino oscillations in vacuum from the point of view of a uniformly accelerated observer. A covariant definition of quantum phase is introduced with the aim of generalizing the standard expression of the oscillation amplitude…

High Energy Physics - Phenomenology · Physics 2020-01-16 Massimo Blasone , Gaetano Lambiase , Giuseppe Gaetano Luciano , Luciano Petruzziello