scholarly journals Particle dynamics in a class of two-dimensional gravity theories

1996 ◽  
Vol 54 (8) ◽  
pp. 4879-4885 ◽  
Author(s):  
Dae Sung Hwang ◽  
Youngjai Kiem ◽  
Dahl Park
Keyword(s):  
Particle Dynamics ◽  
Two Dimensional ◽  
Dimensional Gravity ◽  
Gravity Theories

ON A SIMPLE EVALUATION OF ANOMALIES FROM THE PATH INTEGRAL MEASURE

1990 ◽  
Vol 05 (18) ◽  
pp. 1423-1432 ◽  
Author(s):  
TAKESHI INAGAKI
Keyword(s):  
Path Integral ◽  
New Method ◽  
Two Dimensional ◽  
Integral Measure ◽  
Dimensional Gravity ◽  
Gravity Theories ◽  
Simple Evaluation

Anomalies can be evaluated as non-trivial Jacobian factors of the path integral measure. We make several comments on this calculation by taking two-dimensional gravity theories as examples. We present a new method which makes practical calculations much simpler.

scholarly journals New exact relations for steady irrotational two-dimensional gravity and capillary surface waves

2017 ◽  
Vol 376 (2111) ◽  
pp. 20170220 ◽  
Author(s):  
Didier Clamond
Keyword(s):  
Free Surface ◽  
Gravity Waves ◽  
Water Waves ◽  
Two Dimensional ◽  
Physical Plane ◽  
Theme Issue ◽  
Nonlinear Water Waves ◽  
Dimensional Gravity ◽  
Irrotational Motion ◽  
Exact Relations

Steady two-dimensional surface capillary–gravity waves in irrotational motion are considered on constant depth. By exploiting the holomorphic properties in the physical plane and introducing some transformations of the boundary conditions at the free surface, new exact relations and equations for the free surface only are derived. In particular, a physical plane counterpart of the Babenko equation is obtained. This article is part of the theme issue ‘Nonlinear water waves’.

TOPOLOGICAL CONFORMAL ALGEBRA IN POLYAKOV’S LIGHT-CONE GAUGE GRAVITY

1992 ◽  
Vol 07 (35) ◽  
pp. 3291-3302 ◽  
Author(s):  
KIYONORI YAMADA
Keyword(s):  
Light Cone ◽  
Matter Field ◽  
Conformal Algebra ◽  
Two Dimensional ◽  
Topological Algebras ◽  
Light Cone Gauge ◽  
Brst Cohomology ◽  
Dimensional Gravity ◽  
Conformal Gauge ◽  
Gauge Gravity

We show that the two-dimensional gravity coupled to c=−2 matter field in Polyakov’s light-cone gauge has a twisted N=2 superconformal algebra. We also show that the BRST cohomology in the light-cone gauge actually coincides with that in the conformal gauge. Based on this observation the relations between the topological algebras are discussed.

EQUIVALENCE OF TWO-DIMENSIONAL GRAVITIES

1990 ◽  
Vol 05 (16) ◽  
pp. 1251-1258 ◽  
Author(s):  
NOUREDDINE MOHAMMEDI
Keyword(s):  
Gauge Theory ◽  
Explicit Solution ◽  
Light Cone ◽  
Equations Of Motion ◽  
Two Dimensional ◽  
Induced Gravity ◽  
Light Cone Gauge ◽  
Dimensional Gravity ◽  
The Relationship ◽  
Chern Simons

We find the relationship between the Jackiw-Teitelboim model of two-dimensional gravity and the SL (2, R) induced gravity. These are shown to be related to a two-dimensional gauge theory obtained by dimensionally reducing the Chern-Simons action of the 2+1 dimensional gravity. We present an explicit solution to the equations of motion of the auxiliary field of the Jackiw-Teitelboim model in the light-cone gauge. A renormalization of the cosmological constant is also given.

Investigation of Fluid and Coarse-Particle Dynamics in a Two-Dimensional Spouted Bed

2004 ◽  
Vol 27 (9) ◽  
pp. 971-981 ◽  
Author(s):  
T. Swasdisevi ◽  
W. Tanthapanichakoon ◽  
T. Charinpanitkul ◽  
T. Kawaguchi ◽  
T. Tanaka ◽  
...  
Keyword(s):  
Particle Dynamics ◽  
Coarse Particle ◽  
Two Dimensional ◽  
Spouted Bed

A COMPACT BOSON COUPLED TO TWO-DIMENSIONAL GRAVITY

1991 ◽  
Vol 06 (15) ◽  
pp. 2743-2754 ◽  
Author(s):  
NORISUKE SAKAI ◽  
YOSHIAKI TANII
Keyword(s):  
Field Theory ◽  
Partition Function ◽  
Quantum Gravity ◽  
Matrix Models ◽  
Riemann Surfaces ◽  
Partition Functions ◽  
Two Dimensional ◽  
Dimensional Gravity ◽  
The Continuum ◽  
Continuum Field

The radius dependence of partition functions is explicitly evaluated in the continuum field theory of a compactified boson, interacting with two-dimensional quantum gravity (noncritical string) on Riemann surfaces for the first few genera. The partition function for the torus is found to be a sum of terms proportional to R and 1/R. This is in agreement with the result of a discretized version (matrix models), but is quite different from the critical string. The supersymmetric case is also explicitly evaluated.

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