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Quantization of field theories with gauge symmetry is an extensively discussed and well-established topic. In this short note, we revisit this old problem. While we confirm all details of the existing literature, we highlight a potentially…

High Energy Physics - Theory · Physics 2026-01-30 M. M. Sheikh-Jabbari

In constructions of analytical solutions to open string field theories pure gauge configurations parameterized by wedge states play an essential role. These pure gauge configurations are constructed as perturbation expansions and to…

High Energy Physics - Theory · Physics 2014-11-18 I. Ya. Aref'eva , R. V. Gorbachev , D. A. Grigoryev , P. N. Khromov , M. V. Maltsev , P. B. Medvedev

Recent developments concerning canonical quantisation and gauge invariant quantum mechanical systems and quantum field theories are briefly discussed. On the one hand, it is shown how diffeomorphic covariant representations of the…

High Energy Physics - Theory · Physics 2007-05-23 Jan Govaerts

We contruct the general formula for a set of discrete gauge states (DGS) in c<1 Liouville theory. This formula reproduces the previously found c=1 DGS in the appropriate limiting case. We also demonstrate the SO(2,C) invariant structure of…

High Energy Physics - Theory · Physics 2011-09-13 Jen-Chi Lee

Several examples of similarity transformations connecting two string theories with different backgrounds are reviewed. We also discuss general structure behind the similarity transformations from the point of view of the topological…

High Energy Physics - Theory · Physics 2026-02-26 Mitsuhiro Kato

The exact renormalization group is applied to the world sheet theory describing bosonic open string backgrounds to obtain the equations of motion for the fields of the open string. Using loop variable techniques the equations can be…

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

P representation techniques, which have been very successful in quantum optics and in other fields, are also useful for general bosonic quantum dynamical many-body calculations such as Bose-Einstein condensation. We introduce a…

Quantum Physics · Physics 2009-11-07 P. Deuar , P. D. Drummond

In this paper we consider a class of generalizations of Schnabl's solution of open bosonic string field theory obtained by replacing the wedge state by an arbitrary combination of wedge states. We find that under a few modest conditions…

High Energy Physics - Theory · Physics 2010-10-27 Theodore Erler

After reviewing the hole argument and its relations with initial value problem and general covariance, we shall discuss how much freedom one has to define the physical state of a system in a generally covariant (or gauge covariant) field…

General Relativity and Quantum Cosmology · Physics 2017-04-05 L. Fatibene , M. Ferraris , G. Magnano

Boundary interactions of closed-string with open-strings are examined intended to provide a constructive formulation of boundary string field theory. As an illustration, we consider the BPS $D$-brane of the type II superstring in a constant…

High Energy Physics - Theory · Physics 2007-05-23 Takashi Maeda , Toshio Nakatsu , Taku Oonishi

We present a new open superstring field theory, whose string fields carry an arbitrary picture number and reside in the large Hilbert space. The redundancy related to picture number is resolved by treating picture changing as a gauge…

High Energy Physics - Theory · Physics 2012-05-22 Michael Kroyter

We describe a method for obtaining analytic solutions corresponding to exact marginal deformations in open bosonic string field theory. For the photon marginal deformation we have an explicit analytic solution to all orders. Our…

High Energy Physics - Theory · Physics 2008-11-26 Ehud Fuchs , Michael Kroyter , Robertus Potting

We study gauge fixing in the generalized Gupta-Bleuler quantization. In this method physical states are defined to be simultaneous null eigenstates of a set of quantum invariants. We apply the method to a solvable model proposed by…

High Energy Physics - Theory · Physics 2007-05-23 F. Loran

The nonrelativistic bosonic string theory in a curved manifold is formulated here using gauging of symmetry approach ( Galilean Gauge theory ) . The corresponding model in flat space has some global symmetries . By localizing these…

High Energy Physics - Theory · Physics 2022-12-27 Sk. Moinuddin , Pradip Mukherjee

A new form of covariant quantum theory based on a quantum version of the action principle is considered for the case of a free bosonic string. The central idea of the new approach is to delay conditions of stationarity of the classical…

Quantum Physics · Physics 2011-03-02 Natalia Gorobey , Alexander Lukyanenko

We present BRST gauge fixing approach to quantum mechanics in phase space. The theory is obtained by $\hbar$-deformation of the cohomological classical mechanics described by d=1, N=2 model. We use the extended phase space supplied by the…

High Energy Physics - Theory · Physics 2007-05-23 A. K. Aringazin

Covariant quantization of multi-pronged open bosonic string junction is studied beyond static analysis. Its excited states are described by a set of ordinary bosons as well as some sets of twisted bosons on the world-sheet. The system is…

High Energy Physics - Theory · Physics 2026-02-25 Masako Asano , Mitsuhiro Kato

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

A general-covariant statistical framework capable of describing classical fluctuations of the gravitational field is a thorny open problem in theoretical physics, yet ultimately necessary to understand the nature of the gravitational…

Mathematical Physics · Physics 2020-11-12 Goffredo Chirco , Marco Laudato , Fabio M. Mele

We find the discrete states of the c=1 string in the light-cone gauge of Polyakov. When the state space of the gravitational sector of the theory is taken to be the irreducible representations of the SL(2,R) current algebra, the cohomology…

High Energy Physics - Theory · Physics 2009-09-29 Neil Marcus , Yaron Oz