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Related papers: Loop Variables and Gauge Invariant Interactions of…

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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 study the renormalization of non-commutative gauge theories with matter. As in the scalar field theory cases, there are logarithmic infrared divergences resulting from integrating out high momentum modes. In order to reproduce the…

High Energy Physics - Theory · Physics 2016-09-06 Arvind Rajaraman , Moshe Rozali

The multiloop amplitudes for open bosonic string in presence of a constant B-field are derived from first principles. The basic ingredients of the construction are the commutation relations for the string modes and the Reggeon vertex…

High Energy Physics - Theory · Physics 2015-06-25 Chong-Sun Chu , Rodolfo Russo

Multi-loop interaction amplitudes in the theory of the closed, oriented superstrings are obtained by the integration of local amplitudes which are represented by a sum of the spinning string local amplitudes. The last local amplitudes are…

High Energy Physics - Theory · Physics 2016-11-15 G. S. Danilov

Matrices are said to behave as free non-commuting random variables if the action which governs their dynamics constrains only their eigenvalues, i.e. depends on traces of powers of individual matrices. The authors use recently developed…

High Energy Physics - Theory · Physics 2009-10-30 Michael Engelhardt , Shimon Levit

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 consider open bosonic strings. The non-interacting multi-string theory is described by certain free string field operators which we construct. These are shown to have local commutators with respect to a center of mass coordinate. The…

Mathematical Physics · Physics 2007-05-23 J. Dimock

We study a $U(N)$-invariant vector+matrix chain with the color structure of a lattice gauge theory with quarks and interpret it as a theory of open andclosed strings with target space $\Z$. The string field theory is constructed as a…

High Energy Physics - Theory · Physics 2014-11-18 Ivan K. Kostov

Variables parametrized by closed and open curves are defined to reformulate compact U(1) Quantum Electrodynamics in the circle with a massless fermion field. It is found that the gauge invariant nature of these variables accommodates into a…

High Energy Physics - Theory · Physics 2009-10-30 R. Gambini , H. A. Morales-Tecotl , L. F. Urrutia , J. D. Vergara

The role of gauge invariance is reconsidered by "deriving it without assuming it" within an autonomous approach to interactions of Standard Model particles. In this approach, the renormalizable interactions are purely constrained by quantum…

High Energy Physics - Theory · Physics 2026-05-26 Karl-Henning Rehren

The gauge invariant loop variable formalism and old covariant formalism for bosonic open string theory are compared in this paper. It is expected that for the free theory, after gauge fixing, the loop variable fields can be mapped to those…

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

A formalism is presented which allows covariant three-dimensional bound-state equations to be derived systematically from four-dimensional ones without the use of delta-functions. The amplitude for the interaction of a bound state described…

Nuclear Theory · Physics 2009-04-17 D. R. Phillips , S. J. Wallace

We study the IR behavior of noncommutative gauge theory in the matrix formulation. We find that in this approach, the nature of the UV/IR mixing is easily understood, which allows us to perform a reliable calculation of the quantum…

High Energy Physics - Theory · Physics 2009-11-07 Li Jiang , Eric Nicholson

In an earlier paper [arXiv:1408.0484] gauge invariant and background covariant equations for closed string modes were obtained from the exact renormalization group equation of the world sheet theory. The background metric (but not the…

High Energy Physics - Theory · Physics 2015-08-06 B. Sathiapalan

Perturbative superstring theory is revisited, with the goal of giving a simpler and more direct demonstration that multi-loop amplitudes are gauge-invariant (apart from known anomalies), satisfy space-time supersymmetry when expected, and…

High Energy Physics - Theory · Physics 2023-11-07 Edward Witten

We discuss the construction of boundary contributions to free string field theory actions in the context of the bosonic string. We show that it is generally possible to obtain a well-defined variational principle by adding a simple boundary…

High Energy Physics - Theory · Physics 2025-02-27 Carlo Maccaferri , Riccardo Poletti , Alberto Ruffino , Jakub Vošmera

In this Thesis we address the issue of consistent higher-spin interactions taking String Theory as a "theoretical laboratory". We thus arrive at a simple expression encompassing all three-point amplitudes for states belonging to the first…

High Energy Physics - Theory · Physics 2010-10-11 Massimo Taronna

We have presented canonical and path integral formulations of a theory of loops and closed strings with the matter field quanta transforming in the adjoint representation of the SU(N) gauge group. The physical processes arising out of the…

High Energy Physics - Theory · Physics 2015-06-26 Jnanadeva Maharana , Lambodhar P. Singh

The open string with one-dimensional target space is formulated in terms of an SOS, or loop gas, model on a random surface. We solve an integral equation for the loop amplitude with Dirichlet and Neumann boundary conditions imposed on…

High Energy Physics - Theory · Physics 2010-11-01 V. Kazakov , I. Kostov

We propose an integral formulation of the equations of motion of a large class of field theories which leads in a quite natural and direct way to the construction of conservation laws. The approach is based on generalized non-abelian Stokes…

High Energy Physics - Theory · Physics 2015-05-30 L. A. Ferreira , G. Luchini