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Related papers: Numerical solution for tachyon vacuum in the Schna…

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We investigate the string field theory around the tachyon vacuum. A pure gauge form of the solution is constructed at the tachyon vacuum. For a special choice of the gauge function for the pure gauge form, marginal deformation from the…

High Energy Physics - Theory · Physics 2008-11-26 O-Kab Kwon

An outstanding problem in open bosonic string field theory is the existence of nontrivial classical solutions in its universal sector. Such solutions independent of the underlying CFT would be relevant for any background, but aside of the…

High Energy Physics - Theory · Physics 2018-12-11 Matej Kudrna , Martin Schnabl

We calculate, in a class of Gauge invariant functionals, by variational methods, the difference of vacuum energy between two different backgrounds: Schwarzschild and Flat Space. We perform this evaluation in an Hamiltonian formulation of…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Remo Garattini

In this paper we study the even part of the linear stability of the Schwarzschild spacetime as a continuation of [22]. By taking the harmonic gauge, we prove that the energy decays at a rate $\tau^{-2+}$ for the solution of the linearized…

General Relativity and Quantum Cosmology · Physics 2019-09-17 Pei-Ken Hung

In the framework of the effective field theory method, we use the experimental data and the perturbative unitarity bounds to determine the values and uncertainty of all the 11 chiral coefficients ($\al_i, i=0, ..., 10$) of the standard…

High Energy Physics - Phenomenology · Physics 2008-11-26 Sukanta Dutta , Kaoru Hagiwara , Qi-Shu Yan , Kentaroh Yoshida

We present a new approximation scheme for the centrifugal term to solve the Schrodinger equation with the Hulthen potential for any arbitrary l state by means of a mathematical Nikiforov-Uvarov (NU) method. We obtain the bound state energy…

Quantum Physics · Physics 2009-11-13 Sameer M. Ikhdair

We present a new analytic time dependent solution of cubic string field theory at the lowest order in the level truncation scheme. The tachyon profile we have found is a bounce in time, a $C^{\infty}$ function which represents an almost…

High Energy Physics - Theory · Physics 2009-11-11 V. Forini , G. Grignani , G. Nardelli

We propose a finite-temperature holographic model with a soft-wall geometry that incorporates two scalar fields, dual to the gluon and chiral operators. A series solution is presented as the dynamical, black-hole solution to Einstein's…

High Energy Physics - Phenomenology · Physics 2011-08-03 Thomas M. Kelley

We study the response of an infinite system of point particles on the line initially at rest on the instantaneous release of energy in a localized region. We make a detailed comparison of the hydrodynamic variables predicted by Euler…

Statistical Mechanics · Physics 2024-06-19 Santhosh Ganapa , Subhadip Chakraborti , P. L. Krapivsky , Abhishek Dhar

We study the finite-temperature phase of a gluon ensemble in a variational approximation to QCD in the Coulomb gauge. We derive and numerically solve the underlying Dyson-Schwinger equations up to one-loop order. Assuming the subcritical…

High Energy Physics - Theory · Physics 2011-11-10 Hugo Reinhardt , Davide R. Campagnari , Adam P. Szczepaniak

In this paper, we consider the initial-boundary value problem for the time-dependent Maxwell--Schr\"{o}dinger equations in the Coulomb gauge. We first prove the global existence of weak solutions to the equations. Next we propose an…

Numerical Analysis · Mathematics 2017-03-08 Chupeng Ma , Liqun Cao , Jizu Huang , Yanping Lin

Building on the work of Giulini and Holzegel (2005), a new numerical approach is developed for computing Cauchy data for Einstein's equations by gluing a Schwarzschild end to a Brill-Lindquist metric via a Corvino-type construction. In…

General Relativity and Quantum Cosmology · Physics 2019-02-12 Daniel Pook-Kolb , Domenico Giulini

In a previous study, we formulated a framework of the entropy-based equilibrium statistical mechanics for self-gravitating systems. This theory is based on the Boltzmann-Gibbs entropy and includes the generalized virial equations as…

Cosmology and Nongalactic Astrophysics · Physics 2012-04-10 Ping He

If the total integral including both 0<V<c and c<V<infinity is considered, divergence will be reduced.Firstly,we use the Cherenkov radiation in media as analogue to confirm the formulation (7)-(10) of a tachyon in vacuum.Then these…

General Physics · Physics 2009-11-17 Z. Wang

The analytical solutions of the Klein-Gordon equation with the Yukawa potential is presented within the framework of an approximation to the centrifugal potential for any arbitrary state with the position-dependent mass using the parametric…

Quantum Physics · Physics 2017-08-14 C. A. Onate , A. N. Ikot , M. C. Onyeaju , O. Ebomwonyi

We evaluate the classical action and the effective tachyon potential of open string field theory within KBc subalgebra, which is extensively used in analytic solution for tachyon condensation recently found by Erler and Schnabl. It is found…

High Energy Physics - Theory · Physics 2011-02-03 Syoji Zeze

A gauge invariant action for the open bosonic string has been proposed in an earlier paper. We work out the consequences of this proposal for the lowest mode, viz. the tachyon. The action can be calculated for generic momenta,…

High Energy Physics - Theory · Physics 2009-07-22 B. Sathiapalan

We show that for log-concave real random variables with fixed variance the Shannon differential entropy is minimized for an exponential random variable. We apply this result to derive upper bounds on capacities of additive noise channels…

Probability · Mathematics 2024-03-19 James Melbourne , Piotr Nayar , Cyril Roberto

We consider the Cauchy problems in the whole space for the wave equation with a weighted L^{1}-initial data. We first derive sharp infinite time blowup estimates of the L^{2}-norm of solutions in the one and two dimensional cases. Then, we…

Analysis of PDEs · Mathematics 2021-11-16 Ryo Ikehata

In this paper, we propose two techniques to estimate the magnitude of a machine-zero residual for a given problem, which is the smallest possible residual that can be achieved when we solve a system of discretized equations. We estimate the…

Numerical Analysis · Mathematics 2020-07-15 Hiroaki Nishikawa