scholarly journals Effective string theory and nonlinear Lorentz invariance

2012 ◽  
Vol 2012 (2) ◽  
Author(s):  
Ofer Aharony ◽  
Matthew Dodelson
Keyword(s):  
String Theory ◽  
Lorentz Invariance ◽  
Effective String Theory

GEOMETRY OF SPACETIME AND FINSLER GEOMETRY

2009 ◽  
Vol 24 (08n09) ◽  
pp. 1678-1685 ◽  
Author(s):  
REZA TAVAKOL
Keyword(s):  
General Relativity ◽  
String Theory ◽  
Riemannian Geometry ◽  
Lorentz Invariance ◽  
Finsler Geometry ◽  
Spacetime Geometry ◽  
Test Particles ◽  
Light Rays ◽  
Recent Developments ◽  
Underlying Geometry

A central assumption in general relativity is that the underlying geometry of spacetime is pseudo-Riemannian. Given the recent attempts at generalizations of general relativity, motivated both by theoretical and observational considerations, an important question is whether the spacetime geometry can also be made more general and yet still remain compatible with observations? Here I briefly summarize some earlier results which demonstrate that there are special classes of Finsler geometry, which is a natural metrical generalization of the Riemannian geometry, that are strictly compatible with the observations regarding the motion of idealised test particles and light rays. I also briefly summarize some recent attempts at employing Finsler geometries motivated by more recent developments such as those in String theory, whereby Lorentz invariance is partially broken.

PLANCK MASS PLASMA ANALOG OF STRING THEORY

2005 ◽  
Vol 20 (15) ◽  
pp. 3449-3457
Author(s):  
F. WINTERBERG
Keyword(s):  
Gravitational Field ◽  
String Theory ◽  
Body Problem ◽  
Lorentz Invariance ◽  
Dimensionless Number ◽  
Many Body ◽  
Time Dimension ◽  
Planck Mass ◽  
Helium Atoms ◽  
Three Space

In recent years there had been a growing interest in analog models of general relativity, with certain superfluid solutions simulating black hole solutions of Einstein's gravitational field equation. The quantization of a superfluid, composed of discrete particles (helium atoms), treated as a nonrelativistic many body problem does not lead to divergencies as the quantization of Einstein's field equations. Quantization of gravity is possible in string theory, but only if one introduces the daring hypothesis of higher dimensions. But if the gravitational field is made up of discrete elements as superfluid helium is made up of helium atoms, then gravity can be quantized without difficulty in three space and one time dimension. Such a hypothesis, of course, implies that Lorentz invariance is a dynamic symmetry caused by real rod and clock deformations, as it was assumed in the pre-Einstein theory of relativity by Lorentz and Poincaré, which required the existence of an aether. Making the hypothesis that this aether is a kind of superfluid plasma made up of positive and negative Planck mass particles interacting with the Planck force over a Planck length, one obtains an analog of the standard model, including gravity, which can be quantized as a nonrelativistic many body problem. In this model nonrelativistic vortex rings in three space dimensions and one time dimension simulate the relativistic theory of closed strings in ten space-time dimensions. But because in the vortex lattice, one obtains a large dimensionless number conceivably advancing our understanding of the finestructure constant.

scholarly journals Dark solitons, D-branes and noncommutative tachyon field theory

2017 ◽  
Vol 32 (33) ◽  
pp. 1750201 ◽  
Author(s):  
Stefano Giaccari ◽  
Jun Nian
Keyword(s):  
Field Theory ◽  
String Theory ◽  
Soliton Solutions ◽  
Field Theories ◽  
Tachyon Field ◽  
Dark Solitons ◽  
Quantitative Level ◽  
Two Systems ◽  
Duality Map ◽  
Effective String Theory

In this paper we discuss the boson/vortex duality by mapping the (3[Formula: see text]+[Formula: see text]1)D Gross–Pitaevskii theory into an effective string theory in the presence of boundaries. Via the effective string theory, we find the Seiberg–Witten map between the commutative and the noncommutative tachyon field theories, and consequently identify their soliton solutions with D-branes in the effective string theory. We perform various checks of the duality map and the identification of soliton solutions. This new insight between the Gross–Pitaevskii theory and the effective string theory explains the similarity of these two systems at quantitative level.

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