Showing papers on "Non-critical string theory published in 1984"
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TL;DR: A new type of superstring theory is constructed as a chiral combination of the closed D=26 bosonic and D=10 fermionic strings, which is supersymmetric, Lorentz invariant, and free of tachyons.
Abstract: A new type of superstring theory is constructed as a chiral combination of the closed D=26 bosonic and D=10 fermionic strings. The theory is supersymmetric, Lorentz invariant, and free of tachyons. Consistency requires the gauge group to be Spin(32)Z2 or E8×E8.
1,420 citations
TL;DR: Polyakov's quantization is extended to strings embedded in a curved space, and the critical dimension calculated as mentioned in this paper, however the no-ghost theorem fails there unless the space is supersymmetric and Ricci-flat.
307 citations
TL;DR: In this paper, superstring field theories are formulated in terms of light-cone-gauge superfields that are functionals of string coordinates x ( σ ) and ϑ( σ ).
241 citations
TL;DR: In this paper, it was shown that the naive classical string field is insufficient to describe the covariant classical theory and the necessary additional classical fields are contained in the BRST-quantized quantum field.
129 citations
TL;DR: In this paper, the expectation value of products of conformally covariant operators in the Liouville theory is derived for the four-point functions of the corresponding open string model.
82 citations
TL;DR: In this paper, the expectation values of the Wilson loops and the string tension are calculated by Monte Carlo simulations for SU(3) lattice gauge theory with a renormalization group improved action.
67 citations
TL;DR: In this paper, Su(2) lattice gauge theory in three dimensions is investigated on a 162×32 lattice and it is shown that R>×T Wilson loops are well described by a simple string theory for β in the (approximate) scaling region.
51 citations
39 citations
TL;DR: In this article, the authors discuss the extraction of the interquark potential and string tension in lattice QCD and resolve the apparent discrepancies between different methods, and propose a new method for string tension extraction.
25 citations
TL;DR: In this article, it was shown that in a class of models of the (N = 1) supersymmetric Liouville type, there is a zero frequency anomaly of supersymmetry.
20 citations
TL;DR: In this article, the degrees of freedom of a fermion propagator in a two-dimensional Ising model is analyzed in the form of an integral over trajectories, which is naturally generalized to the case of a Fermion string in a three-dimensional ising model and is expressed in terms of a sum over surfaces.
Abstract: At the first glance, the investigation of the relativistic string model in d-dimensional space-time might appear to be a purely mathematical problem. However, this is not so. Bearing in mind that as yet there is no satisfactory quantum theory of strings, it would be interesting by analogy with nonlinear string models to develop an expansion with respect to 1/d as d→∞ in string theory as well. Further, the geometrical theory of a string in d-dimensional space-time generated an entire series of nonlinear equations for which a general solution can be constructed explicitly. For the lower dimensions this was done in [5]. The method used there can probably by also generalized to the case of arbitrary d.
TL;DR: In this article, a conformally covariant formalism is developed for the open string and a recursive construction is presented which permits the counting of physical states of any given mass, spin, and parity.
Abstract: The classical field-dependent parametrization covariant Hamiltonian formulation of the open and the closed string is discussed. The formalism is not applicable to the open string. A conformally covariant formalism is developed for the open string. The Rohrlich gauge conditions are justified and applied. The parametrization of classical solutions is not uniquely fixed; the generators of rigid time translation in the parameter space remain first class. The constraints and gauge conditions are taken into account in the quantum theory as conditions on physical states. The required invariance of physical states under rigid displacement of parameter time leads to a mass superselection rule. The set of physical string quantum states is analogous to the set of states constructed by Di Vecchia, Del Guidice, and Fubini. A recursive construction is presented which permits the counting of physical states of any given mass, spin, and parity. Physical states lie on linearly rising Regge trajectories with one universal slope. The intercept of the leading trajectory is constrained only by the requirement that there be no tachyonic physical states. The quantization is carried out in four space-time dimensions.
TL;DR: In this paper, it was shown that for non-leading terms in the local limit of the Migdal fermionic string model, this theory is equivalent to QCD in the Veneziano limit, and important relations appeared among elf and quark mass, and asymptotic freedom concerning also chiral invariance.
TL;DR: In this paper, it was shown that a long distance field created by the closed Dirac string is in general zero irrespective of its motion, regardless of the motion of the string.
Abstract: It is shown that a long-distance field created by the closed Dirac string is in general zero irrespective of its motion.
TL;DR: In this article, a discussion of Polyakov's bosonic string model in terms of a doubly connected domain mapped to simple surfaces in space of three dimensions is given, and the minimal surface generated by a closed string is transformed to a catenoid, and it is shown how the Liouville equation is associated with it.
Abstract: A discussion is given of Polyakov's bosonic string model in terms of a doubly·connected domain mapped to simple surfaces in space of three dimensions. , The minimal surface generated by a closed string is transformed to a catenoid, and it is shown, for instance, how the Liouville equation is associated with ,it. The problem of the critical dimension is also discussed by an estimation of the measure of the Pomeron propagator.
01 Jan 1984
TL;DR: In this article, the authors used surface theory in differential geometry to find nonlinear Klein-Gordon fields associated with the motion of the string in the string model of hadrons, and derived a family of 1 + 1 dimensional nonlinear field equations.
Abstract: In the string model of hadronsl) most analyses of the motion of the string have been carried out by the linear equation, but with nonlinear con straints. Although the linear equation is easy to treat, some important properties of the string are shared by the constraints. These equation and constraints can also be described by a single nonlinear equation. In this short note, using surface theory in differential geometry we shall look for nonlinear Klein-Gordon equations for the motion of the string. Recently Lund and Regge 2 ) have studied the embedding in E3 of the two dimensional surface which is spanned by strings and vortices in space-time during their motion and derived a family of 1 + 1 dimensional non linear field equations. The family consists of a coupled system of equations for a sine-Gordon field describing the internal structure of the sur face and for an additional field associated with the external curvature. Barbarshov and Nesterenk0 3 ) have carried out a comprehensive survey on classical embedding theory and discus sed the Liouville and hyperbolic sine-Gordon equations for two-dimensional surfaces besides the sine-Gordon equation. We shall also study the embedding of a two-dimensional surface in three-dimensional subspaces of space-time. We shall ask what nonlinear Klein-Gordon fields are in general associated with the motion of the