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We consider series solutions of the Schr\"odinger equation for the Bender-Boettcher potentials V(x)=-(ix)^N with integer N. A simple truncation is introduced which provides accurate results regarding the ground state and first few excited…

Mathematical Physics · Physics 2016-01-14 Chris Ford , Bichang Xia

We propose a description of open string fields on a D25-brane in vacuum string field theory. We show that the tachyon mass is correctly reproduced from our proposal and further argue that the mass spectrum of all other open string states is…

High Energy Physics - Theory · Physics 2009-11-07 Yuji Okawa

We consider an initial and boundary value problem the one dimensional wave equation with damping concentrated at an interior point. We prove a result of a logarithmic decay of the energy of a system with homogeneous Dirichlet boundary…

Optimization and Control · Mathematics 2018-12-17 Fathi Hassine

Performing a gauge transformation of a simple identity-like solution of superstring field theory, we construct a one-parameter family of solutions, and by evaluating the energy associated to this family, we show that for most of the values…

High Energy Physics - Theory · Physics 2016-05-05 E. Aldo Arroyo

In open string field theory the kinetic operator mixes matter and ghost sectors, and thus the ghost structure of classical solutions is not universal. Nevertheless, we have found from numerical analysis that certain ratios of expectation…

High Energy Physics - Theory · Physics 2009-11-07 Davide Gaiotto , Leonardo Rastelli , Ashoke Sen , Barton Zwiebach

We present a cosmological landscape where the classical closed string tachyon field plays an important role in the framework of a critical bosonic compactification. Our cosmological solutions for a universe with constant curvature describes…

General Relativity and Quantum Cosmology · Physics 2013-01-22 Celia Escamilla-Rivera

We study the dynamics of light-like tachyon condensation in a linear dilaton background using level-truncated open string field theory. The equations of motion are found to be delay differential equations. This observation allows us to…

High Energy Physics - Theory · Physics 2010-03-01 Frederik Beaujean , Nicolas Moeller

The tachyon effective field theory describing the dynamics of a non-BPS D-$p$-brane has electric flux tube solutions where the electric field is at its critical value and the tachyon is at its vacuum. It has been suggested that these…

High Energy Physics - Theory · Physics 2009-09-15 Ashoke Sen

We compute the one-loop corrections to the tachyon potentials in both, bosonic and supersymmetric, cases by worldsheet methods. In the process, we also get some insight on tachyon condensation from the viewpoint of closed string modes and…

High Energy Physics - Theory · Physics 2011-07-19 Oleg Andreev , Tassilo Ott

We consider the tachyon potentials in closed and open-closed string theories. In doing so, we apply technique which proved to be useful in studying the open string tachyon potentials to the problem of interest.

High Energy Physics - Theory · Physics 2010-04-05 Oleg Andreev

We calculate vacuum energy for twisted SUSY D-brane on toroidal background with constant magnetic or constant electric field. Its behaviour for toroidal D-brane (p=2) in constant electric field shows the presence of stable minimum for…

High Energy Physics - Theory · Physics 2009-09-17 A. A. Bytsenko , A. E. Goncalves , S. Nojiri , S. D. Odintsov

We present exact results for the susceptibility of the interacting resonant level model in equilibrium. Detailed simulations using both the Numerical Renormalization Group and Density Matrix Renormalization Group were performed in order to…

Strongly Correlated Electrons · Physics 2019-02-19 Gonzalo Camacho , Peter Schmitteckert , Sam T. Carr

We analyze how lower-dimensional bosonic D-branes further decay, using the boundary string field theory. Especially we find that the effective tachyon potential of the lower-dimensional D-brane has the same profile as that of D25-brane.

High Energy Physics - Theory · Physics 2014-11-18 Sanefumi Moriyama , Shin Nakamura

It is shown that classical decay of unstable D-branes in bosonic and superstring theories produces pressureless gas with non-zero energy density. The energy density is stored in the open string fields, even though around the minimum of the…

High Energy Physics - Theory · Physics 2009-11-07 Ashoke Sen

We have studied the numerical solutions of Richardson equations of the BCS model in the limit of large number of energy levels at half-filling, and compare them with the analytic results derived by Gaudin and Richardson, which in turn leads…

Superconductivity · Physics 2011-07-19 J. M. Roman , G. Sierra , J. Dukelsky

We show that Schnabl's tachyon vacuum solution is an exact solution of the equation of motion of Witten's open bosonic string field theory in the background of constant antisymmetric two-form field. The action computed at the vacuum…

High Energy Physics - Theory · Physics 2009-09-28 Akira Ishida , Chanju Kim , Yoonbai Kim , O-Kab Kwon , D. D. Tolla

We investigate the cosmological solutions in closed bosonic string theory in the presence of non zero tachyon condensate. We specifically obtain time dependent solutions which describe an anisotropic universe. We also discuss the nature of…

High Energy Physics - Theory · Physics 2009-10-28 Swapna Mahapatra , Sudipta Mukherji

We analyse the condensation of closed string tachyons on the $C/Z_N$ orbifold. We construct the potential for the tachyons upto the quartic interaction term in the large $N$ limit. In this limit there are near marginal tachyons. The quartic…

High Energy Physics - Theory · Physics 2009-11-10 S. Sarkar , B. Sathiapalan

We calculate the effective tachyonic potential in closed string field theory up to the quartic term in the tree approximation. This involves an elementary four-tachyon vertex and a sum over the infinite number of Feynman graphs with an…

High Energy Physics - Theory · Physics 2010-11-01 Alexander Belopolsky

In this paper closed string emission and open string pair production from the light-like rolling tachyon solution are calculated in subcritical string theory in the background of a linear dilaton. The rolling light-like tachyon represents…

High Energy Physics - Theory · Physics 2012-02-21 Yushu Song