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Non-relativistic charged particles and strings coupled with abelian gauge fields are quantized in a geometric representation that generalizes the Loop Representation. We consider three models: the string in self-interaction through a…

High Energy Physics - Theory · Physics 2009-11-10 P. J. Arias , E. Fuenmayor , Lorenzo Leal

We construct an effective four dimensional string-corrected black hole (4D SCBH) by rescaling the string coupling parameter in a $D$-dimensional Callan-Myers-Perry black hole. From the theoretical point of view, the most interesting…

General Relativity and Quantum Cosmology · Physics 2022-03-23 Kimet Jusufi , Dejan Stojkovic

A string theory in $3$ euclidean spacetime dimensions is found to describe the semiclassical behavior of a certain exact physical state of quantum general relativity in $4$ dimensions. Both the worldsheet and the three dimensional metric…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lee Smolin

The spectrum of a Polchinski-Strominger type effective string theory, extended to all orders, herein called an effective string theory of the \emph{Polyakov-Liouville Type} (for obvious reasons) is investigated to all orders in the small…

High Energy Physics - Theory · Physics 2009-11-22 N. D. Hari Dass , Peter Matlock , Yashas Bharadwaj

Recent advances in non-critical string theory allow a unique continuation of critical Polyakov string amplitudes to off-shell momenta, while preserving conformal invariance. These continuations possess unusual, apparently stringy,…

High Energy Physics - Theory · Physics 2007-05-23 R. C. Myers , V. Periwal

The Hamiltonian analysis of Polyakov action is reviewed putting emphasis in two topics: Dirac observables and gauge conditions. In the case of the closed string it is computed the change of its action induced by the gauge transformation…

High Energy Physics - Theory · Physics 2007-05-23 Merced Montesinos , Jose David Vergara

We propose a non-critical string field theory for $2d$ quantum gravity coupled to ($p$,$q$) conformal fields. The Hamiltonian is described by the generators of the $W_p$ algebra, and the Schwinger-Dyson equation is equivalent to a vacuum…

High Energy Physics - Theory · Physics 2009-10-30 J. Ambjorn , Y. Watabiki

We construct new half-BPS cosmic string solutions in D=4 N=2 supergravity compatible with a consistent truncation to N=1 supergravity where they describe D-term cosmic strings. The constant Fayet-Iliopoulos term in the N=1 D-term is not put…

High Energy Physics - Theory · Physics 2010-10-27 Mboyo Esole , Kepa Sousa

The present paper studies a completely integrable conformally invariant model in 1+1 dimensions that corresponds to string propagation on the two-dimensional black hole background (semi-ininite cigar). Besides the two space-time string…

High Energy Physics - Theory · Physics 2009-10-22 Adel Bilal

The quantum-classical isomorphism for self-consistent field theory, which allows quantum particles in space-time to be represented as classical one-dimensional threads embedded in a five dimensional thermal-space-time, is summarized and…

Quantum Physics · Physics 2023-02-22 Russell B. Thompson

We investigate the quantization of the bosonic string model which has a local U(1)_V * U(1)_A gauge invariance as well as the general coordinate and Weyl invariance on the world-sheet. The model is quantized by Lagrangian and Hamiltonian…

High Energy Physics - Theory · Physics 2009-11-10 Takuya Tsukioka , Yoshiyuki Watabiki

Quantization of coordinates leads to the non-commutative product of deformation quantization, but is also at the roots of string theory, for which space-time coordinates become the dynamical fields of a two-dimensional conformal quantum…

High Energy Physics - Theory · Physics 2008-11-26 Sebastian Guttenberg , Manfred Herbst , Maximilian Kreuzer , Radoslav Rashkov

A simple diffeomorphism invariant theory of connections with the non-compact structure group R of real numbers is quantized. The theory is defined on a four-dimensional 'space-time' by an action resembling closely the self-dual Plebanski…

General Relativity and Quantum Cosmology · Physics 2013-04-02 Andrzej Okolow

We study the motion of a stochastic string in the background of a BTZ black hole. In the 1+1 dimensional boundary theory this corresponds to a very heavy external particle (e.g, a quark), interacting with the fields of a CFT at finite…

High Energy Physics - Theory · Physics 2014-05-07 Pinaki Banerjee , B. Sathiapalan

The path integral quantization method is applied to a relativistically covariant version of the Hopfield model, which represents a very interesting mesoscopic framework for the description of the interaction between quantum light and…

High Energy Physics - Theory · Physics 2016-03-23 F. Belgiorno , S. L. Cacciatori , F. Dalla Piazza , M. Doronzo

We discuss the quantization of a system of slowly-moving extreme Reissner-Nordstrom black holes. In the near-horizon limit, this system has been shown to possess an SL(2,R) conformal symmetry. However, the Hamiltonian appears to have no…

High Energy Physics - Theory · Physics 2009-10-31 George Siopsis

We present a minimal and dynamically consistent formulation of non-relativistic bosonic string theory in a Newton-Cartan (NC) background. Starting from a reparametrization-invariant Nambu-Goto action, we develop the Hamiltonian framework…

High Energy Physics - Theory · Physics 2025-09-05 Partha Nandi , Sk. Moinuddin , Abdus Sattar

We consider the form of the path integral that follows from canonical quantization and apply it to the first order form of the Einstein-Hilbert action in $d > 2$ dimensions. We show that this is inequivalent to what is obtained from…

High Energy Physics - Theory · Physics 2015-06-05 Farrukh Chishtie , D. G. C. McKeon

The connection between four different approaches to quantization of the relativistic particle is studied: reduced phase space quantization, Dirac quantization, BRST quantization, and (BRST)-Fock quantization are each carried out. The…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Giulio Ruffini

This work addresses spherically symmetric, static black holes in higher-derivative stringy gravity. We focus on the curvature-squared correction to the Einstein-Hilbert action, present in both heterotic and bosonic string theory. The string…

High Energy Physics - Theory · Physics 2008-11-26 Filipe Moura , Ricardo Schiappa