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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 loop variable approach used earlier to obtain free equations of motion for the massive modes of the open string, is generalized to include interaction terms. These terms, which are polynomial, involve only modes of strictly lower mass.…

High Energy Physics - Theory · Physics 2015-06-26 B. Sathiapalan

We continue the discussion of our previous paper on writing down gauge invariant interacting equations for a bosonic string using the loop variable approach. In the earlier paper the equations were written down in one higher dimension where…

High Energy Physics - Theory · Physics 2009-10-31 B. Sathiapalan

We give a simplified and more complete description of the loop variable approach for writing down gauge invariant equations of motion for the fields of the open string. A simple proof of gauge invariance to all orders is given. In terms of…

High Energy Physics - Theory · Physics 2009-11-07 B. Sathiapalan

Applying the loop variable proposal to a sigma model (with boundary) in a curved target space, we give a systematic method for writing the gauge and generally covariant interacting equations of motion for the modes of the open string in a…

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

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

An exact renormalization group equation is written down for the world sheet theory describing the bosonic open string in general backgrounds. Loop variable techniques are used to make the equation gauge invariant. This is worked out…

High Energy Physics - Theory · Physics 2015-06-04 B. Sathiapalan

In earlier papers on the loop variable approach to gauge invariant interactions in string theory, a ``wave functional'' with some specific properties was invoked. It had the purpose of converting the generalized momenta to space time…

High Energy Physics - Theory · Physics 2016-09-06 B. Sathiapalan

Some issues in the loop variable renormalization group approach to gauge invariant equations for the free fields of the open string are discussed. It had been shown in an earlier paper that this leads to a simple form of the gauge…

High Energy Physics - Theory · Physics 2010-11-01 B. Sathiapalan

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

At the classical level we study open bosonic strings. A generic description of string self-interactions localized at string ends is given. Self-interactions are characterized by two dimensionless coupling constants. The model is rewritten…

High Energy Physics - Theory · Physics 2015-06-26 Pawel Wegrzyn

The issue of space time gauge invariance for the bosonic string has been earlier addressed using the loop variable formalism. In this paper the question of obtaining a gauge invariant action for the open bosonic string is discussed. The…

High Energy Physics - Theory · Physics 2008-11-26 B. Sathiapalan

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

Using the loop variable formalism as applied to a sigma model in curved target space, we give a systematic method for writing down gauge and generally covariant equations of motion for the modes of the free open string in curved space. The…

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

The new generalization of the gauge interaction for the bosonic strings is found. We consider some quasiequivariant maps from the space of metrics on the worldsheet to the space of $n$-tuples of one- and two-dimensional loops. The…

High Energy Physics - Theory · Physics 2009-11-10 Z. Kopecky

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

The loop variable technique (for open strings in flat space) is a gauge invariant generalization of the renormalization group method for obtaining equations of motion. Unlike the beta functions, which are only proportional to the equations…

High Energy Physics - Theory · Physics 2008-11-26 B. Sathiapalan

This paper is a self contained review of the Loop Variable approach to string theory. The Exact Renormalization Group is applied to a world sheet theory describing string propagation in a general background involving both massless and…

High Energy Physics - Theory · Physics 2015-12-09 B. Sathiapalan

We sketch the main steps of old covariant quantization of bosonic open strings in a constant $B$ field background. We comment on its space-time symmetries and the induced effective metric. The low-energy spectrum is evaluated and the…

High Energy Physics - Theory · Physics 2009-10-31 Ansar Fayyazuddin , Maxim Zabzine

In arXiv:1202.4298 gauge invariant interacting equations were writ- ten down for the spin 2 and spin 3 massive modes using the exact renor- malization group of a world sheet theory. This is generalized to all the higher levels in this…

High Energy Physics - Theory · Physics 2015-06-11 B. Sathiapalan
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