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U(1) gauge theory on non-commutative Minkowski space-time in the Feynman-'t Hooft background gauge is studied. In particular, UV divergences and non-commutative IR divergent contributions to the two, three and four-point functions are…

High Energy Physics - Theory · Physics 2009-10-31 C. P. Martin , F. Ruiz Ruiz

Starting from three-dimensional nonlinear elasticity under the restriction of incompressibility, we derive reduced models to capture the behavior of strings in response to external forces. Our $\Gamma$-convergence analysis of the…

Analysis of PDEs · Mathematics 2023-06-22 Dominik Engl , Carolin Kreisbeck

In this paper we first address four point functions of string amplitudes in both type IIA and IIB string theories. Making use of non-BPS scattering amplitudes, we explore not only several Bianchi identities that hold in both transverse and…

High Energy Physics - Theory · Physics 2019-02-15 Ehsan Hatefi , Petr Vasko

We study scatterings of bosonic massive closed string states at arbitrary mass levels from D-brane. We discover that all the scattering amplitudes can be expressed in terms of the generalized hypergeometric function with special arguments,…

High Energy Physics - Theory · Physics 2008-11-26 Chuan-Tsung Chan , Jen-Chi Lee , Yi Yang

It is an old speculation that SU(N) gauge theory can alternatively be formulated as a string theory. Recently this subject has been revived, in the wake of the discovery of D-branes. In particular, it has been argued that at least some…

High Energy Physics - Lattice · Physics 2016-12-28 Christof Schmidhuber

We demonstrate how duality invariance of the low energy expansion of the four-graviton amplitude in type II string theory determines the precise coefficients of multiloop logarithmic ultraviolet divergences of maximal supergravity in…

High Energy Physics - Theory · Physics 2013-10-25 Michael B. Green , Jorge G. Russo , Pierre Vanhove

Nonperturbative effects in string theory are usually associated to D-branes. In many cases it can be explicitly shown that D-brane instantons control the large-order behavior of string perturbation theory, leading to the well-known (2g)!…

High Energy Physics - Theory · Physics 2013-02-22 Inês Aniceto , Ricardo Schiappa , Marcel Vonk

We derive fully covariant expressions for all two-point scattering amplitudes of two massless closed strings from a Dirichlet $p$-brane. This construction relies on the observation that there is a simple relation between these D-brane…

High Energy Physics - Theory · Physics 2009-10-30 Mohammad R. Garousi , Robert C. Myers

We consider string perturbative expansion in the presence of D-branes imbedded in orbifolded space-time. In the regime where the string coupling is weak and $\alpha'\to 0$, the string perturbative expansion coincides with `t Hooft's large N…

High Energy Physics - Theory · Physics 2009-10-31 Michael Bershadsky , Zurab Kakushadze , Cumrun Vafa

D-brane probes, Hanany-Witten setups and geometrical engineering stand as a trichotomy of the currently fashionable techniques of constructing gauge theories from string theory. Meanwhile, asymptotic freedom, finitude and IR freedom pose as…

High Energy Physics - Theory · Physics 2007-05-23 Yang-Hui He

The amplitudes in perturbative open string theory are examined as functions of the tachyon condensate parameter. The boundary state formalism demonstrates the decoupling of the open string modes at the non-perturbative minima of the tachyon…

High Energy Physics - Theory · Physics 2010-02-03 Gordon Chalmers

We construct contact interactions for bosonic and spinning strings. In the tensionless limit of the spinning string this reproduces the super-Wilson loop that couples spinor matter to Abelian gauge theory. Adding boundary terms that…

High Energy Physics - Theory · Physics 2015-06-23 James P. Edwards , Paul Mansfield

In these lectures we start with a pedagogical introduction of the properties of open and closed superstrings and then, using the open/closed string duality, we construct the boundary state that provides the description of the maximally…

High Energy Physics - Theory · Physics 2007-05-23 Paolo Di Vecchia , Antonella Liccardo

We study the high-energy limit of $2 \to 2$ one-loop string amplitudes at fixed momentum transfer. For the closed string, the high-energy behaviour of the amplitudes can be determined from Regge theory just like in field theory, as was…

High Energy Physics - Theory · Physics 2025-08-27 Pinaki Banerjee , Lorenz Eberhardt , Sebastian Mizera

We compute, via numerical simulations, the non-perturbative Coulomb potential of pure SU(3) gauge theory in Coulomb gauge. We find that that the Coulomb potential scales nicely in accordance with asymptotic freedom, that the Coulomb…

High Energy Physics - Lattice · Physics 2015-03-05 Jeff Greensite , Adam P. Szczepaniak

String amplitudes with an arbitrary number of world-sheet boundaries on which the coordinates satisfy Dirichlet boundary conditions are analyzed in a path integral framework. Special attention is payed to the novel divergences associated…

High Energy Physics - Theory · Physics 2016-09-06 Michael Gutperle

In this paper we derive a class of contributions to all orders in $\alpha'$ to the effective action of D-brane-anti D-brane systems in Type II String Theory, considering an amplitude involving a closed-string Ramond-Ramond state and four…

High Energy Physics - Theory · Physics 2019-10-16 Riccardo Antonelli , Ivano Basile , Ehsan Hatefi

We study some non-perturbative aspects of noncommutative gauge theories. We find analytic solutions of the equations of motion, for noncommutative U(1) gauge theory, that describe magnetic monopoles with a finite tension string attached.…

High Energy Physics - Theory · Physics 2009-10-31 David J. Gross , Nikita A. Nekrasov

The duality map between gauge theories and strings suggests that when the gauge theory is in the weak coupling regime the dual string tension effectively tends to zero, $\alpha' \to \infty$. This observation of Sundborg and Witten initiates…

High Energy Physics - Theory · Physics 2007-05-23 G. Savvidy

In presence of a static pair of sources, the spectrum of low-lying states of whatever confining gauge theory in D space-time dimensions is described, at large source separations, by an effective string theory. In the far infrared the latter…

High Energy Physics - Theory · Physics 2013-06-20 Michele Caselle , Davide Fioravanti , Ferdinando Gliozzi , Roberto Tateo