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We briefly review the technology involved in extracting the field-theory limit of multiloop bosonic string amplitudes, and we apply it to the evaluation of simple two-loop diagrams involving scalars and gauge bosons.

High Energy Physics - Phenomenology · Physics 2016-09-06 Lorenzo Magnea , Rodolfo Russo

We present intermediate results of an ongoing investigation which attempts a generalization of the well known one-loop Bern Kosower rules of Yang-Mills theory to higher loop orders. We set up a general procedure to extract the field…

High Energy Physics - Theory · Physics 2007-05-23 Boris Kors , Michael G. Schmidt

The electric charge renormalization constant, as defined in the Thomson limit, is expressed in terms of self-energies of the photon-Z-boson system in an arbitrary R_\xi-gauge to all perturbative orders. The derivation as carried out in the…

High Energy Physics - Phenomenology · Physics 2021-03-24 Stefan Dittmaier

We formulate the Exact Renormalization Group on the string world sheet for closed string backgrounds. The same techniques that were used for open strings is used here. There are some subtleties. One is that holomorphic factorization of the…

High Energy Physics - Theory · Physics 2015-06-16 B. Sathiapalan

We show that the one loop amplitudes of open and closed string theory in a constant background two-form tensor field are characterized by an effective string tension larger than the fundamental string tension, and by the appearance of…

High Energy Physics - Theory · Physics 2009-10-31 Shyamoli Chaudhuri , Eric G. Novak

An approach to systematically implement open-closed string duality for free large $N$ gauge theories is summarised. We show how the relevant closed string moduli space emerges from a reorganisation of the Feynman diagrams contributing to…

High Energy Physics - Theory · Physics 2009-11-10 Rajesh Gopakumar

The loop variable approach is a proposal for a gauge invariant generalization of the sigma-model renormalization group method of obtaining equations of motion in string theory. The basic guiding principle is space-time gauge invariance…

High Energy Physics - Theory · Physics 2014-11-18 B. Sathiapalan

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

For a calculation of divergent fermion string amplitudes a regularization procedure invariant under the supermodular group is constructed. By this procedure superstring amplitudes of an arbitrary genus are calculated using both partition…

High Energy Physics - Theory · Physics 2007-05-23 G. S. Danilov

We consider the theory of open bosonic string in massive background fields. The general structure of renormalization is investigated. A general covariant action for a string in background fields of the first massive level is suggested and…

High Energy Physics - Theory · Physics 2010-11-01 I. L. Buchbinder , V. A. Krykhtin , V. D. Pershin

We propose a new approach for deriving the string field equations from a general sigma model on the world sheet. This approach leads to an equation which combines some of the attractive features of both the renormalization group method and…

High Energy Physics - Theory · Physics 2009-10-30 K. Bardakci , L. M. Bernardo

The scope of constrained differential renormalization is to provide renormalized expressions for Feynman graphs, preserving at the same time the Ward identities of the theory. It has been shown recently that this can be done consistently at…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. del Aguila , M. Perez-Victoria

The string one loop renormalization of the gauge coupling constants is examined in abelian orbifold models. The contributions to string threshold corrections independent of the compactification moduli fields are evaluated numerically for…

High Energy Physics - Theory · Physics 2008-11-26 M. Chemtob

We present a procedure of differential renormalization at the one loop level which avoids introducing unnecessary renormalization constants and automatically preserves abelian gauge invariance. The amplitudes are expressed in terms of a…

High Energy Physics - Theory · Physics 2009-10-30 F. del Aguila , A. Culatti , R. Munoz-Tapia , M. Perez-Victoria

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

The {\em cutting and sewing} procedure is used for getting two-loop order Feynman diagrams of $\Phi^{4}$-theory with an internal SU(N) symmetry group, starting from tachyon amplitudes of the open bosonic string theory. In a suitably defined…

High Energy Physics - Theory · Physics 2007-05-23 R. Marotta , F. Pezzella

We extend an earlier proposal for a gauge invariant description of off-shell open strings (at tree level), using loop variables, to off-shell closed strings (at tree level). The basic idea is to describe the closed string amplitudes as a…

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

We study integrals appearing in one-loop amplitudes in string theory, and in particular their analytic continuation based on a string theoretic analog of the $i\varepsilon$-prescription of quantum field theory. For various zero- and…

High Energy Physics - Theory · Physics 2024-11-06 Jan Manschot , Zhi-Zhen Wang

We study classically unstable string type configurations and compute the renormalized vacuum polarization energies that arise from fermion fluctuations in a 2+1 dimensional analog of the standard model. We then search for a minimum of the…

High Energy Physics - Theory · Physics 2008-11-26 N. Graham , M. Quandt , O. Schroeder , H. Weigel

We study open and closed string interactions in the Type IIB plane wave background using open+closed string field theory. We reproduce all string amplitudes from the dual N=2 Sp(N) gauge theory by computing matrix elements of the dilatation…

High Energy Physics - Theory · Physics 2015-06-26 Jaume Gomis , Sanefumi Moriyama , Jongwon Park