scholarly journals String states, loops and effective actions in noncommutative field theory and matrix models

2016 ◽  
Vol 910 ◽  
pp. 346-373 ◽  
Author(s):  
Harold C. Steinacker
Keyword(s):  
Field Theory ◽  
Matrix Models ◽  
Noncommutative Field Theory

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.

scholarly journals LOCALITY, CAUSALITY AND NONCOMMUTATIVE GEOMETRY

2006 ◽  
Vol 21 (01) ◽  
pp. 67-82 ◽  
Author(s):  
CHONG-SUN CHU ◽  
KO FURUTA ◽  
TAKEO INAMI
Keyword(s):  
Field Theory ◽  
Noncommutative Geometry ◽  
Light Cone ◽  
Energy Condition ◽  
Noncommutative Space ◽  
Noncommutative Field Theory ◽  
Causality Condition ◽  
Usual Form ◽  
New Form ◽  
Lower Dimensional

We analyze the causality condition in noncommutative field theory and show that the nonlocality of noncommutative interaction leads to a modification of the light cone to the light wedge. This effect is generic for noncommutative geometry. We also check that the usual form of energy condition is violated and propose that a new form is needed in noncommutative space–time. On reduction from light cone to light wedge, it looks like the noncommutative dimensions are effectively washed out and suggests a reformulation of noncommutative field theory in terms of lower dimensional degree of freedom. This reduction of dimensions due to noncommutative geometry could play a key role in explaining the holographic property of quantum gravity.

scholarly journals Noncommutative Field Theory and Lorentz Violation

2001 ◽  
Vol 87 (14) ◽  
Author(s):  
Sean M. Carroll ◽  
Jeffrey A. Harvey ◽  
V. Alan Kostelecký ◽  
Charles D. Lane ◽  
Takemi Okamoto
Keyword(s):  
Field Theory ◽  
Lorentz Violation ◽  
Noncommutative Field Theory

scholarly journals A consistent noncommutative field theory: the Wess–Zumino model

2000 ◽  
Vol 587 (1-3) ◽  
pp. 299-310 ◽  
Author(s):  
H.O. Girotti ◽  
M. Gomes ◽  
V.O. Rivelles ◽  
A.J. da Silva
Keyword(s):  
Field Theory ◽  
Noncommutative Field Theory ◽  
Zumino Model
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