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Related papers: The Gravitational Sine-Gordon Model

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The general class of Robinson-Trautman metrics that describe gravitational radiation in the exterior of bounded sources in four space-time dimensions is shown to admit zero curvature formulation in terms of appropriately chosen…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ioannis Bakas

The symmetric space sine-Gordon models arise by conformal reduction of ordinary 2-dim $\sigma$-models, and they are integrable exhibiting a black-hole type metric in target space. We provide a Lagrangian formulation of these systems by…

High Energy Physics - Theory · Physics 2009-10-28 I. Bakas , Q-Han Park , H. J. Shin

We present a construction of the finite-volume massive sine-Gordon model in the UV subcritical regime using a renormalization group method. The resulting measure has Gaussian tails, respects toroidal symmetries and is reflection-positive.

Mathematical Physics · Physics 2025-08-21 Jaka Pelaič

The sine-Gordon model with space- and time-dependent parameters is considered. A highly accurate effective model with two degrees of freedom is constructed, allowing the description of the kink movement in this model even for extremely long…

Pattern Formation and Solitons · Physics 2026-05-22 Tomasz Dobrowolski , Jacek Gatlik , Zofia Bryłowska , Panayotis G. Kevrekidis

We show that the matrix-model action for noncommutative U(n) gauge theory actually describes SU(n) gauge theory coupled to gravity. This is elaborated in the 4-dimensional case. The SU(n) gauge fields as well as additional scalar fields…

High Energy Physics - Theory · Physics 2009-11-18 Harold Steinacker

The sine-Gordon model is discussed and analyzed within the framework of the renormalization group theory. A perturbative renormalization group procedure is carried out through a decomposition of the sine-Gordon field in slow and fast modes.…

Strongly Correlated Electrons · Physics 2015-06-04 Mariana Malard

We use the deformed sine-Gordon models recently presented by Bazeia et al to discuss possible definitions of quasi-integrability. We present one such definition and use it to calculate an infinite number of quasi-conserved quantities…

High Energy Physics - Theory · Physics 2011-06-07 L. A. Ferreira , Wojtek J. Zakrzewski

Superstring field theory gives expressions for heterotic and type II string loop amplitudes that are free from ultraviolet and infrared divergences when the number of non-compact space-time dimensions is five or more. We prove the…

High Energy Physics - Theory · Physics 2018-01-17 Ashoke Sen

The 2-dimensional space-time sine-Gordon field theory is extended algebraically within the n-dimensional space of extended complex numbers. This field theory is constructed in terms of an adapted extension of standard vertex operators. A…

High Energy Physics - Theory · Physics 2014-11-18 Pascal Baseilhac

We study different aspects of integrable boundary quantum field theories, focusing mostly on the ``boundary sine-Gordon model'' and its applications to condensed matter physics. The first part of the review deals with formal problems. We…

High Energy Physics - Theory · Physics 2007-05-23 Sergei Skorik

We derive the effective Lagrangian of the physical four-dimensional fields in the Randall-Sundrum (RS) model, and use this to calculate the Newtonian gravitational potential between two point sources on the brane. The effect of the radion…

High Energy Physics - Phenomenology · Physics 2016-09-06 Petter Callin , Finn Ravndal

We show that the $c=1$ bosonic string theory at finite temperature has two matrix-model realizations related by a kind of duality transformation. The first realization is the standard one given by the compactified matrix quantum mechanics…

High Energy Physics - Theory · Physics 2010-04-05 Sergei Yu. Alexandrov , Vladimir A. Kazakov , Ivan K. Kostov

$S$-matrix formulation of gravity excludes de Sitter vacua. In particular, this is organic to string theory. The $S$-matrix constraint is enforced by an anomalous quantum break-time proportional to the inverse values of gravitational and/or…

High Energy Physics - Theory · Physics 2020-12-04 Gia Dvali

We study the sine-Gordon quantum field theory at finite temperature by generalizing the method of random surfaces to compute the free energy and one-point functions of exponential operators non-perturbatively. Focusing on the gapped phase…

Statistical Mechanics · Physics 2025-06-11 M. Tóth , J. H. Pixley , D. Szász-Schagrin , G. Takács , M. Kormos

The Sine-Gordon theory at $\frac{\beta^{2}}{8\pi} = \frac{2}{(2n+3)},\; n= 1,2,3 \cdots $ has a higher spin generalization of the $N=2$ supersymmetry with the central terms which arises from the affine quantum group $U_{q}( \hat{s \ell}…

High Energy Physics - Theory · Physics 2016-09-06 H. Itoyama , T. Oota

We consider the sine-Gordon equation on metric graphs with simple topologies and derive vertex boundary conditions from the fundamental conservation laws, such as energy and current conservation. Traveling wave solutions for star and tree…

Pattern Formation and Solitons · Physics 2016-11-03 Zarif Sobirov , Doniyor Babajanov , Davron Matrasulov , Katsuhiro Nakamura , Hannes Uecker

Starting from a topological gauge theory in two dimensions with symmetry groups $ISO(2,1)$, $SO(2,1)$ and $SO(1,2)$ we construct a model for gravity with non-trivial coupling to matter. We discuss the equations of motion which are connected…

High Energy Physics - Theory · Physics 2009-10-22 L. F. Cugliandolo , F. A. Schaposnik , H. Vucetich

A manifestly T-dual invariant formulation of bosonic string theory is discussed here. It can be obtained by making both the usual string compact coordinates and their duals explicitly appear, on the same footing, in the world-sheet action.…

High Energy Physics - Theory · Physics 2016-02-09 Franco Pezzella

We discuss further a recent space-time interpretation of the $c=1$ matrix model which retains both sides of the inverted harmonic oscillator potential in the underlying free fermion theory and reproduces the physics of the discrete state…

High Energy Physics - Theory · Physics 2009-10-30 Avinash Dhar

Using twisted commutation relations we show that the quantum sinh-Gordon model on noncommutative space is integrable, and compute the exact two-particle scattering matrix. The model possesses a strong-weak duality, just like its commutative…

High Energy Physics - Theory · Physics 2008-11-26 Sachindeo Vaidya