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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

We decompose renormalized Feynman rules according to the scale and angle dependence of amplitudes. We use parametric representations such that the resulting amplitudes can be studied in algebraic geometry.

High Energy Physics - Theory · Physics 2015-03-19 Francis Brown , Dirk Kreimer

Using the background field method for the functional renormalization group approach in the case of a generic gauge theory, we study the background field symmetry and gauge dependence of the background average effective action, when the…

High Energy Physics - Theory · Physics 2019-08-23 Peter M. Lavrov , Eduardo Antonio dos Reis , Tibério de Paula Netto , Ilya L. Shapiro

Using the background-field method we demonstrate the Becchi-Rouet-Stora-Tyutin (BRST) structure of counterterms in a broad class of gauge theories. Put simply, we show that gauge invariance is preserved by renormalization in local gauge…

High Energy Physics - Theory · Physics 2018-08-01 Andrei O. Barvinsky , Diego Blas , Mario Herrero-Valea , Sergey M. Sibiryakov , Christian F. Steinwachs

D-instanton amplitudes suffer from various infrared divergences associated with tachyonic or massless open string modes, leading to ambiguous contribution to string amplitudes. It has been shown previously that string field theory can…

High Energy Physics - Theory · Physics 2021-11-24 Ashoke Sen

By applying the recently developed Loop Regularization(LR) with string-mode regulators to supersymmetric field theories, we explicitly verify the supersymmetric Ward identities in several supersymmetric models at one-loop level. It is…

High Energy Physics - Phenomenology · Physics 2009-12-04 Jian-Wei Cui , Yong Tang , Yue-Liang Wu

This article is based on a talk given at the ``Strings'97'' conference. It discusses the search for the universality class of confining strings. The key ingredients include the loop equations, the zigzag symmetry, the non-linear…

High Energy Physics - Theory · Physics 2009-10-30 A. Polyakov

We investigate $\alpha'$ corrections of bosonic strings in the framework of double field theory. The previously introduced "doubled $\alpha'$-geometry" gives $\alpha'$-deformed gauge transformations arising in the Green-Schwarz anomaly…

High Energy Physics - Theory · Physics 2015-06-22 Olaf Hohm , Barton Zwiebach

The interpretation of the apparent unification of gauge couplings within supersymmetric theories depends on uncertainties induced through heavy particle thresholds. While in standard grand unified theories these effects can be estimated…

High Energy Physics - Theory · Physics 2009-10-22 P. Mayr , H. P. Nilles , S. Stieberger

Every Riemann surface with genus $g$ and $n$ punctures admits a hyperbolic metric, if $2g-2+n>0$. Such a surface can be decomposed into pairs of pants whose boundaries are geodesics. We construct a string field theory for closed bosonic…

High Energy Physics - Theory · Physics 2023-01-24 Nobuyuki Ishibashi

We construct fully gauge-invariant kinetic terms for open and closed string field theories on a target space with boundary. This is realized by promoting the gauge parameters at the boundary to extra dynamical modes describing boundary…

High Energy Physics - Theory · Physics 2026-02-10 Carlo Maccaferri , Alberto Ruffino , Jakub Vošmera

We describe a method of writing down interacting 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 interacting cases. The…

High Energy Physics - Theory · Physics 2011-04-20 B. Sathiapalan

Electric charge, as defined in the Thomson limit of the electron--photon interaction vertex, is renormalized to all orders both in the Standard Model and in any spontaneously broken gauge theory with gauge group GxU(1) with a group factor…

High Energy Physics - Phenomenology · Physics 2021-09-09 Stefan Dittmaier

Given two conformal field theories related to each other by a marginal perturbation, and string field theories constructed around such backgrounds, we show how to construct explicit redefinition of string fields which relate these two…

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

The sum over planar multi-loop diagrams in the NS+ sector of type 0 open strings in flat spacetime has been proposed by Thorn as a candidate to resolve non-perturbative issues of gauge theories in the large $N$ limit. With $SU (N)$…

High Energy Physics - Theory · Physics 2014-12-24 Francisco Rojas

Starting from the superstring amplitude describing interactions among D-branes with a constant world-volume field strength, we present a detailed analysis of how the open string degeneration limits reproduce the corresponding field theory…

High Energy Physics - Theory · Physics 2015-03-18 Lorenzo Magnea , Sam Playle , Rodolfo Russo , Stefano Sciuto

We derive a set of rotationally covariant amplitude equations for use in multiscale simulation of the two dimensional phase field crystal (PFC) model by a variety of renormalization group (RG) methods. We show that the presence of a…

Pattern Formation and Solitons · Physics 2007-05-23 Badrinarayan P. Athreya , Nigel Goldenfeld , Jonathan A. Dantzig

Feynman amplitudes of light-cone gauge string field theory for Type II superstrings are shown to be equivalent to those of the covariant first quantized formulation. In order to regularize the contact term divergences, we consider the…

High Energy Physics - Theory · Physics 2018-10-19 Nobuyuki Ishibashi

The naive low energy effective action of the tachyon and the U(1) gauge field obtained from string field theory does not correspond to the world volume action of unstable branes in bosonic string theory. We show that there exists a field…

High Energy Physics - Theory · Physics 2009-10-31 Justin R. David

A manifestly gauge invariant and regularized renormalization group flow equation is constructed for pure SU(N) gauge theory in the large N limit. In this way we make precise and concrete the notion of a non-perturbative gauge invariant…

High Energy Physics - Theory · Physics 2009-12-10 Tim R. Morris