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We calculate, using the group theoretic approach to string theory, the tree and one loop scattering of four open and closed arbitrary bosonic string states. In the limit of high energy, but fixed angle, the multi-string vertex at tree and…

High Energy Physics - Theory · Physics 2008-11-26 Nicolas Moeller , Peter West

In these lecture notes, we take a closer look at the calculation of scattering amplitudes for the bosonic string. It is believed that string theories form the UV completions of (super)gravity theories. Support for this claim can be found in…

High Energy Physics - Theory · Physics 2010-11-03 Wieland Staessens , Bert Vercnocke

We calculate bosonic open string one-loop massive scattering amplitudes for some low-lying string states. By using the periodicity relations of Jacobi theta functions, we explicitly prove an infinite number of one-loop type I stringy Ward…

High Energy Physics - Theory · Physics 2009-11-10 Chuan-Tsung Chan , Jen-Chi Lee

In the present paper we consider quantum theories obtained by quantization of classical theories with first-class constraints assuming that these constraints form a Lie algebra. We show that in this case, one can construct physical…

High Energy Physics - Theory · Physics 2023-10-19 Albert Schwarz

We develop a method to compute the one-loop effective action of noncommutative U(1) gauge theory based on the bosonic worldline formalism, and derive compact expressions for N-point 1PI amplitudes. The method, resembling perturbative string…

High Energy Physics - Theory · Physics 2016-09-06 Youngjai Kiem , Yeonjung Kim , Cheol Ryou , Haru-Tada Sato

Using the recent proposal for the observables in open string field theory, we explicitly compute the coupling of closed string tachyon and massless states with the open string states up to level two. Using these couplings, we then calculate…

High Energy Physics - Theory · Physics 2009-11-07 Mohsen Alishahiha , Mohammad R. Garousi

Quantization of closed string proceeds with a suitable choice of worldsheet vacuum. A priori, the vacuum may be chosen independently for left-moving and right-moving sectors. We construct {\sl ab initio} quantized bosonic string theory with…

High Energy Physics - Theory · Physics 2017-12-11 Kanghoon Lee , Soo-Jong Rey , J. A. Rosabal

We show how string theory can be used to reproduce the one-loop two-point photon amplitude in noncommutative U(1) gauge theory. Using a simple realization of the gauge theory in bosonic string theory, we extract from a string cylinder…

High Energy Physics - Theory · Physics 2010-11-26 Jaume Gomis , Matthew Kleban , Thomas Mehen , Mukund Rangamani , Stephen Shenker

Techniques based upon the string organisation of amplitudes may be used to simplify field theory calculations. We apply these techniques to perturbative gravity and calculate all one-loop amplitudes for four-graviton scattering with…

High Energy Physics - Theory · Physics 2009-10-28 David C. Dunbar , Paul S. Norridge

The nonperturbative $1\to N$ tachyon scattering amplitude in 2D type 0A string theory is computed. The probability that $N$ particles are produced is a monotonically decreasing function of $N$ whenever $N$ is large enough that statistical…

High Energy Physics - Theory · Physics 2010-02-03 Emil Martinec , Kazumi Okuyama

Most of the massive states in superstring theory are expected to undergo mass renormalization at one loop order. Typically these corrections should contain imaginary parts, indicating that the states are unstable against decay into lighter…

High Energy Physics - Theory · Physics 2016-07-25 Ashoke Sen

We define entanglement entropy in string perturbation theory using the orbifold method -- a stringy analog of the replica method in field theory. To this end, we use the Newton series to analytically continue in $N$ the partition functions…

High Energy Physics - Theory · Physics 2022-07-11 Atish Dabholkar

Like grand unification of old, string unification predicts simple tree-level relations between the couplings of all unbroken gauge groups such as $SU(3)_C$ or $SU(2)_W\)$. I show here how to compute one-loop corrections to these relations…

High Energy Physics - Theory · Physics 2016-09-06 Vadim Kaplunovsky

Following the idea of Refs.[1,2], the double-copy-like decomposition of exchanged internal states in the world-line limit of one-loop string amplitudes is systematically formulated and generalized to both bosonic and heterotic string…

High Energy Physics - Theory · Physics 2026-02-03 Yao Li

We describe a method of writing down the exact interacting gauge invariant equations for all the modes of the bosonic open string. It is a generalization of the loop variable approach that was used earlier for the free, and lowest order…

High Energy Physics - Theory · Physics 2007-05-23 B. Sathiapalan

We calculate field theory loop amplitudes by string methods, applied to half-maximal 4-point one-loop graviton amplitudes. Infrared divergences are regulated similarly to soft-collinear effective field theory (SCET): new mass scales are…

High Energy Physics - Theory · Physics 2026-03-31 Marcus Berg , Michael Haack , Yonatan Zimmerman

Several arguments are given for the summability of the superstring perturbation series. Whereas the Schottky group coordinatization of moduli space may be used to provide refined estimates of large-order bosonic string amplitudes, the…

High Energy Physics - Theory · Physics 2009-10-31 Simon Davis

We apply the dressing method to a string solution given by a static string wrapped around the equator of a three-sphere and find that the result is the single spike solution recently discussed in the literature. Further application of the…

High Energy Physics - Theory · Physics 2010-02-03 Riei Ishizeki , Martin Kruczenski , Marcus Spradlin , Anastasia Volovich

Is string theory uniquely determined by self-consistency? Causality and unitarity seemingly permit a multitude of putative deformations, at least at the level of two-to-two scattering. Motivated by this question, we initiate a systematic…

High Energy Physics - Theory · Physics 2024-03-19 Nima Arkani-Hamed , Clifford Cheung , Carolina Figueiredo , Grant N. Remmen

We give a simple prescription for computing, in the framework of the bosonic string theory, off-shell one-loop amplitudes with any number of external massless particles, both for the open and for the closed string. We discuss their…

High Energy Physics - Theory · Physics 2009-10-31 L. Cappiello , R. Marotta , R. Pettorino , F. Pezzella
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