scholarly journals Noncommutative field theory description of quantum Hall Skyrmions

2001 ◽  
Vol 64 (8) ◽  
Author(s):  
Bum-Hoon Lee ◽  
Kyungsun Moon ◽  
Chaiho Rim
Keyword(s):  
Field Theory ◽  
Quantum Hall ◽  
Noncommutative Field Theory

scholarly journals Quantum Hall physics = noncommutative field theory

2001 ◽  
Vol 2001 (10) ◽  
pp. 039-039 ◽  
Author(s):  
Simeon Hellerman ◽  
Mark Van Raamsdonk
Keyword(s):  
Field Theory ◽  
Quantum Hall ◽  
Noncommutative Field Theory

scholarly journals NONCOMMUTATIVE FIELD THEORY AND THE DYNAMICS OF QUANTUM HALL FLUIDS

2002 ◽  
Vol 17 (25) ◽  
pp. 3589-3606 ◽  
Author(s):  
J. L. F. BARBÓN ◽  
A. PAREDES
Keyword(s):  
Field Theory ◽  
Spatial Structure ◽  
Effective Action ◽  
Quantum Hall ◽  
Weak Field ◽  
Density Fluctuations ◽  
Wigner Crystal ◽  
Vertex Operators ◽  
Noncommutative Field Theory ◽  
Chern Simons

We study the spectrum of density fluctuations of fractional Hall fluids in the context of the noncommutative hydrodynamical model of Susskind. We show that, within the weak-field expansion, the leading correction to the noncommutative Chern–Simons Lagrangian (a Maxwell term in the effective action), destroys the incompressibility of the Hall fluid due to strong UV/IR effects at one loop. We speculate on possible relations of this instability with the transition to the Wigner crystal, and conclude that calculations within the weak-field expansion must be carried out with an explicit ultraviolet cutoff at the noncommutativity scale. We point out that the noncommutative dipoles exactly match the spatial structure of the Halperin–Kallin quasiexcitons. Therefore, we propose that the noncommutative formalism must describe accurately the spectrum at very large momenta, provided no weak-field approximations are made. We further conjecture that the noncommutative open Wilson lines are "vertex operators" for the quasiexcitons.

scholarly journals A Chern-Simons effective field theory for the Pfaffian quantum Hall state

1998 ◽  
Vol 516 (3) ◽  
pp. 704-718 ◽  
Author(s):  
Eduardo Fradkin ◽  
Chetan Nayak ◽  
Alexei Tsvelik ◽  
Frank Wilczek
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Quantum Hall ◽  
Effective Field ◽  
Chern Simons ◽  
Quantum Hall State

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 Substratum Interpretation of the Quark-Lepton Symmetries in the Planck Aether Model of a Unified Field Theory

1991 ◽  
Vol 46 (6) ◽  
pp. 551-559 ◽  
Author(s):  
F. Winterberg
Keyword(s):  
Field Theory ◽  
Vector Boson ◽  
Quantum Hall ◽  
Zero Point ◽  
Unified Field Theory ◽  
Many Body ◽  
Fractional Quantum Hall ◽  
Unified Field ◽  
A Value ◽  
The Many

Abstract An attempt is made to explain the observed quark-lepton symmetries in the framework of the recently proposed Planck aether model of a unfied field theory. If the many body lepton wave function can rearrange itself into a vortex-substructure, very much as it has been observed in the fractional quantum Hall effect, all the symmetries can be understood by the quantum numbers of these vortices and their interactions, and all fermions as permitted combinations of those vortices, including the correct number of force-transmitting bosons. The proposed model can also give a value for the mass of the intermediate vector boson. All charges are explained by the quantum mechanical zero point fluctuations of the Planck masses making up the Planck aether

Sign in / Sign up

Export Citation Format

Share Document